Mathematikunterricht/ Sek/ Brüche/ Ü/ Add2-4 NennerNeu 30-50max A4 1

Übungsbeispiele zur Addition von Brüchen.

Berechne und kürze wenn möglich.

1.

a) ${\frac {3}{10}}+{\frac {1}{6}}$

b) ${\frac {4}{9}}+{\frac {1}{6}}$

c) ${\frac {1}{10}}+{\frac {1}{6}}$

d) ${\frac {1}{6}}+{\frac {3}{8}}$

e) ${\frac {1}{6}}+{\frac {2}{15}}$

f) ${\frac {1}{6}}+{\frac {5}{9}}$

g) ${\frac {1}{6}}+{\frac {1}{4}}$

h) ${\frac {1}{6}}+{\frac {1}{9}}$

2.

a) ${\frac {1}{9}}+{\frac {1}{6}}$

b) ${\frac {3}{14}}+{\frac {1}{4}}$

c) ${\frac {1}{4}}+{\frac {5}{6}}$

d) ${\frac {1}{6}}+{\frac {1}{8}}$

e) ${\frac {1}{4}}+{\frac {1}{14}}$

f) ${\frac {3}{10}}+{\frac {1}{6}}$

g) ${\frac {1}{6}}+{\frac {1}{8}}$

h) ${\frac {1}{8}}+{\frac {1}{6}}$

i) ${\frac {5}{12}}+{\frac {1}{8}}$

j) ${\frac {1}{10}}+{\frac {1}{15}}$

k) ${\frac {1}{4}}+{\frac {1}{10}}$

l) ${\frac {1}{4}}+{\frac {1}{10}}$

3.

a) ${\frac {1}{9}}+{\frac {1}{6}}+{\frac {2}{3}}$

b) ${\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}$

c) ${\frac {3}{20}}+{\frac {1}{10}}+{\frac {1}{8}}$

d) ${\frac {1}{10}}+{\frac {1}{5}}+{\frac {4}{25}}$

e) ${\frac {2}{9}}+{\frac {1}{6}}+{\frac {1}{12}}$

f) ${\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{12}}$

g) ${\frac {1}{12}}+{\frac {1}{8}}+{\frac {3}{16}}$

h) ${\frac {5}{6}}+{\frac {10}{9}}+{\frac {1}{2}}$

i) ${\frac {3}{10}}+{\frac {1}{5}}+{\frac {1}{4}}$

4.

a) ${\frac {5}{4}}+{\frac {1}{6}}+{\frac {3}{2}}+{\frac {1}{3}}$

b) ${\frac {3}{4}}+{\frac {1}{6}}+{\frac {1}{2}}+{\frac {1}{3}}$

c) ${\frac {1}{16}}+{\frac {1}{8}}+{\frac {1}{12}}+{\frac {1}{24}}$

d) ${\frac {7}{12}}+{\frac {1}{8}}+{\frac {2}{3}}+{\frac {1}{6}}$

e) ${\frac {3}{10}}+{\frac {1}{5}}+{\frac {1}{4}}+{\frac {1}{2}}$

f) ${\frac {1}{6}}+{\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{24}}$

g) ${\frac {1}{12}}+{\frac {1}{18}}+{\frac {1}{4}}+{\frac {1}{9}}$

h) ${\frac {3}{14}}+{\frac {1}{6}}+{\frac {1}{7}}+{\frac {10}{21}}$

i) ${\frac {2}{5}}+{\frac {1}{10}}+{\frac {1}{6}}+{\frac {1}{15}}$

Lösungen

1-2: ${\frac {13}{12}}$  ${\frac {7}{15}}$  ${\frac {13}{24}}$  ${\frac {3}{10}}$  ${\frac {5}{12}}$  ${\frac {19}{24}}$  ${\frac {13}{24}}$  ${\frac {3}{10}}$  ${\frac {7}{20}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {3}{10}}$  ${\frac {13}{24}}$  ${\frac {7}{20}}$  ${\frac {11}{18}}$  ${\frac {9}{28}}$  ${\frac {5}{18}}$  ${\frac {7}{15}}$  ${\frac {13}{24}}$  ${\frac {7}{20}}$  ${\frac {7}{24}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {19}{24}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {7}{20}}$  ${\frac {11}{12}}$  ${\frac {13}{28}}$  ${\frac {5}{12}}$  ${\frac {9}{28}}$  ${\frac {13}{18}}$  ${\frac {5}{12}}$  ${\frac {1}{6}}$  ${\frac {7}{18}}$  ${\frac {4}{15}}$  ${\frac {4}{15}}$  ${\frac {13}{12}}$  ${\frac {3}{10}}$  ${\frac {7}{20}}$  3-4: ${\frac {7}{4}}$  ${\frac {3}{7}}$  ${\frac {7}{8}}$  ${\frac {2}{3}}$  ${\frac {13}{4}}$  ${\frac {17}{36}}$  ${\frac {23}{50}}$  ${\frac {5}{4}}$  ${\frac {35}{48}}$  ${\frac {5}{16}}$  ${\frac {37}{24}}$  ${\frac {23}{24}}$  ${\frac {1}{1}}$  ${\frac {5}{4}}$  ${\frac {4}{7}}$  ${\frac {11}{15}}$  ${\frac {11}{8}}$  ${\frac {7}{18}}$  ${\frac {4}{7}}$  ${\frac {5}{4}}$  ${\frac {3}{4}}$  ${\frac {1}{2}}$  ${\frac {17}{18}}$  ${\frac {19}{9}}$  ${\frac {23}{50}}$  ${\frac {3}{8}}$  ${\frac {22}{9}}$  ${\frac {3}{4}}$  ${\frac {37}{24}}$  ${\frac {3}{4}}$  ${\frac {19}{48}}$  ${\frac {21}{40}}$  ${\frac {3}{8}}$  ${\frac {1}{2}}$  ${\frac {33}{20}}$  ${\frac {1}{2}}$  ${\frac {17}{48}}$  ${\frac {7}{5}}$  ${\frac {6}{7}}$  ${\frac {1}{3}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {1}{9}}$

b) ${\frac {1}{6}}+{\frac {1}{8}}$

c) ${\frac {1}{6}}+{\frac {2}{15}}$

d) ${\frac {1}{4}}+{\frac {1}{6}}$

e) ${\frac {3}{4}}+{\frac {5}{6}}$

f) ${\frac {1}{8}}+{\frac {1}{12}}$

g) ${\frac {1}{4}}+{\frac {1}{6}}$

h) ${\frac {1}{6}}+{\frac {1}{9}}$

2.

a) ${\frac {1}{14}}+{\frac {1}{4}}$

b) ${\frac {1}{12}}+{\frac {1}{8}}$

c) ${\frac {1}{6}}+{\frac {3}{10}}$

d) ${\frac {3}{4}}+{\frac {5}{6}}$

e) ${\frac {1}{14}}+{\frac {1}{4}}$

f) ${\frac {2}{15}}+{\frac {1}{6}}$

g) ${\frac {1}{8}}+{\frac {1}{12}}$

h) ${\frac {1}{6}}+{\frac {4}{9}}$

i) ${\frac {1}{6}}+{\frac {1}{8}}$

j) ${\frac {1}{9}}+{\frac {1}{6}}$

k) ${\frac {1}{10}}+{\frac {1}{4}}$

l) ${\frac {1}{4}}+{\frac {1}{6}}$

3.

a) ${\frac {1}{14}}+{\frac {1}{7}}+{\frac {1}{6}}$

b) ${\frac {1}{16}}+{\frac {3}{8}}+{\frac {1}{12}}$

c) ${\frac {1}{8}}+{\frac {1}{12}}+{\frac {1}{6}}$

d) ${\frac {2}{15}}+{\frac {1}{5}}+{\frac {4}{9}}$

e) ${\frac {3}{14}}+{\frac {1}{6}}+{\frac {2}{7}}$

f) ${\frac {3}{10}}+{\frac {2}{15}}+{\frac {1}{6}}$

g) ${\frac {3}{4}}+{\frac {1}{10}}+{\frac {2}{5}}$

h) ${\frac {1}{12}}+{\frac {1}{18}}+{\frac {1}{4}}$

i) ${\frac {1}{2}}+{\frac {1}{6}}+{\frac {1}{4}}$

4.

a) ${\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{5}}+{\frac {3}{10}}$

b) ${\frac {1}{6}}+{\frac {3}{14}}+{\frac {4}{21}}+{\frac {1}{7}}$

c) ${\frac {1}{7}}+{\frac {5}{14}}+{\frac {1}{6}}+{\frac {1}{21}}$

d) ${\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{2}}$

e) ${\frac {1}{6}}+{\frac {1}{12}}+{\frac {3}{16}}+{\frac {1}{8}}$

f) ${\frac {3}{2}}+{\frac {1}{6}}+{\frac {1}{4}}+{\frac {4}{3}}$

g) ${\frac {1}{6}}+{\frac {1}{24}}+{\frac {5}{12}}+{\frac {1}{16}}$

h) ${\frac {2}{7}}+{\frac {1}{6}}+{\frac {10}{21}}+{\frac {1}{14}}$

i) ${\frac {1}{6}}+{\frac {1}{2}}+{\frac {3}{4}}+{\frac {1}{3}}$

Lösungen

1-2: ${\frac {4}{15}}$  ${\frac {7}{24}}$  ${\frac {19}{12}}$  ${\frac {9}{28}}$  ${\frac {11}{20}}$  ${\frac {11}{12}}$  ${\frac {5}{24}}$  ${\frac {3}{10}}$  ${\frac {5}{18}}$  ${\frac {11}{20}}$  ${\frac {7}{15}}$  ${\frac {4}{15}}$  ${\frac {17}{28}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {11}{18}}$  ${\frac {5}{24}}$  ${\frac {9}{28}}$  ${\frac {19}{12}}$  ${\frac {13}{28}}$  ${\frac {5}{24}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  ${\frac {11}{20}}$  ${\frac {3}{10}}$  ${\frac {7}{20}}$  ${\frac {1}{6}}$  ${\frac {4}{15}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  ${\frac {5}{24}}$  ${\frac {5}{18}}$  ${\frac {7}{24}}$  ${\frac {9}{28}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {7}{20}}$  ${\frac {7}{15}}$  ${\frac {7}{24}}$  3-4: ${\frac {5}{7}}$  ${\frac {25}{28}}$  ${\frac {1}{4}}$  ${\frac {23}{42}}$  ${\frac {5}{7}}$  ${\frac {7}{9}}$  ${\frac {2}{5}}$  ${\frac {11}{16}}$  ${\frac {35}{48}}$  ${\frac {5}{4}}$  ${\frac {5}{4}}$  ${\frac {19}{40}}$  ${\frac {9}{16}}$  ${\frac {1}{1}}$  ${\frac {17}{18}}$  ${\frac {4}{5}}$  ${\frac {8}{21}}$  ${\frac {7}{18}}$  ${\frac {7}{12}}$  ${\frac {7}{12}}$  ${\frac {8}{21}}$  ${\frac {9}{16}}$  ${\frac {25}{48}}$  ${\frac {7}{9}}$  ${\frac {3}{8}}$  ${\frac {3}{4}}$  ${\frac {2}{3}}$  ${\frac {5}{4}}$  ${\frac {9}{4}}$  ${\frac {11}{12}}$  ${\frac {3}{5}}$  ${\frac {17}{24}}$  ${\frac {3}{4}}$  ${\frac {21}{20}}$  ${\frac {3}{4}}$  ${\frac {13}{4}}$  ${\frac {7}{4}}$  ${\frac {17}{24}}$  ${\frac {11}{9}}$  ${\frac {11}{12}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {2}{15}}$

b) ${\frac {1}{4}}+{\frac {3}{10}}$

c) ${\frac {3}{10}}+{\frac {1}{6}}$

d) ${\frac {1}{10}}+{\frac {1}{6}}$

e) ${\frac {1}{6}}+{\frac {5}{9}}$

f) ${\frac {1}{4}}+{\frac {5}{6}}$

g) ${\frac {1}{6}}+{\frac {1}{8}}$

h) ${\frac {1}{10}}+{\frac {1}{6}}$

2.

a) ${\frac {3}{4}}+{\frac {5}{6}}$

b) ${\frac {1}{6}}+{\frac {1}{9}}$

c) ${\frac {1}{6}}+{\frac {2}{15}}$

d) ${\frac {1}{8}}+{\frac {1}{6}}$

e) ${\frac {1}{9}}+{\frac {1}{6}}$

f) ${\frac {1}{6}}+{\frac {1}{10}}$

g) ${\frac {1}{8}}+{\frac {1}{6}}$

h) ${\frac {5}{9}}+{\frac {1}{6}}$

i) ${\frac {1}{12}}+{\frac {1}{8}}$

j) ${\frac {4}{9}}+{\frac {1}{6}}$

k) ${\frac {1}{6}}+{\frac {1}{4}}$

l) ${\frac {1}{6}}+{\frac {1}{10}}$

3.

a) ${\frac {1}{3}}+{\frac {1}{6}}+{\frac {10}{9}}$

b) ${\frac {1}{18}}+{\frac {1}{6}}+{\frac {1}{4}}$

c) ${\frac {3}{16}}+{\frac {7}{24}}+{\frac {1}{12}}$

d) ${\frac {1}{25}}+{\frac {1}{10}}+{\frac {1}{5}}$

e) ${\frac {2}{5}}+{\frac {2}{25}}+{\frac {1}{10}}$

f) ${\frac {1}{18}}+{\frac {1}{4}}+{\frac {5}{12}}$

g) ${\frac {4}{7}}+{\frac {1}{4}}+{\frac {3}{14}}$

h) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {3}{16}}$

i) ${\frac {3}{16}}+{\frac {1}{12}}+{\frac {1}{6}}$

4.

a) ${\frac {1}{20}}+{\frac {1}{8}}+{\frac {1}{5}}+{\frac {1}{4}}$

b) ${\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{2}}+{\frac {1}{3}}$

c) ${\frac {1}{6}}+{\frac {1}{5}}+{\frac {7}{15}}+{\frac {1}{3}}$

d) ${\frac {9}{10}}+{\frac {1}{4}}+{\frac {3}{5}}+{\frac {1}{2}}$

e) ${\frac {1}{4}}+{\frac {1}{12}}+{\frac {5}{18}}+{\frac {2}{9}}$

f) ${\frac {5}{9}}+{\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{12}}$

g) ${\frac {1}{20}}+{\frac {3}{8}}+{\frac {1}{5}}+{\frac {1}{4}}$

h) ${\frac {5}{16}}+{\frac {5}{12}}+{\frac {1}{6}}+{\frac {1}{24}}$

i) ${\frac {7}{18}}+{\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{9}}$

Lösungen

1-2: ${\frac {4}{15}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {1}{6}}$  ${\frac {7}{24}}$  ${\frac {5}{12}}$  ${\frac {4}{15}}$  ${\frac {4}{15}}$  ${\frac {5}{12}}$  ${\frac {7}{20}}$  ${\frac {5}{18}}$  ${\frac {11}{30}}$  ${\frac {5}{18}}$  ${\frac {5}{24}}$  ${\frac {3}{10}}$  ${\frac {4}{15}}$  ${\frac {19}{12}}$  ${\frac {3}{10}}$  ${\frac {7}{24}}$  ${\frac {13}{24}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {13}{12}}$  ${\frac {5}{18}}$  ${\frac {11}{18}}$  ${\frac {13}{18}}$  ${\frac {7}{24}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {9}{28}}$  ${\frac {5}{12}}$  ${\frac {7}{15}}$  ${\frac {5}{18}}$  ${\frac {11}{18}}$  ${\frac {13}{18}}$  ${\frac {11}{20}}$  ${\frac {13}{24}}$  ${\frac {9}{28}}$  ${\frac {9}{28}}$  ${\frac {4}{15}}$  3-4: ${\frac {10}{9}}$  ${\frac {13}{8}}$  ${\frac {7}{16}}$  ${\frac {11}{16}}$  ${\frac {5}{8}}$  ${\frac {5}{8}}$  ${\frac {13}{18}}$  ${\frac {9}{8}}$  ${\frac {5}{6}}$  ${\frac {7}{6}}$  ${\frac {19}{18}}$  ${\frac {5}{9}}$  ${\frac {5}{6}}$  ${\frac {11}{8}}$  ${\frac {11}{12}}$  ${\frac {7}{8}}$  ${\frac {3}{4}}$  ${\frac {17}{36}}$  ${\frac {1}{2}}$  ${\frac {13}{8}}$  ${\frac {9}{16}}$  ${\frac {25}{18}}$  ${\frac {7}{16}}$  ${\frac {31}{24}}$  ${\frac {17}{50}}$  ${\frac {29}{50}}$  ${\frac {13}{18}}$  ${\frac {29}{28}}$  ${\frac {9}{4}}$  ${\frac {29}{18}}$  ${\frac {7}{16}}$  ${\frac {11}{16}}$  ${\frac {7}{16}}$  ${\frac {23}{48}}$  ${\frac {9}{16}}$  ${\frac {9}{4}}$  ${\frac {15}{16}}$  ${\frac {7}{4}}$  ${\frac {13}{16}}$  ${\frac {1}{4}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {3}{4}}+{\frac {1}{6}}$

b) ${\frac {1}{9}}+{\frac {1}{6}}$

c) ${\frac {1}{15}}+{\frac {3}{10}}$

d) ${\frac {1}{9}}+{\frac {1}{6}}$

e) ${\frac {1}{6}}+{\frac {1}{4}}$

f) ${\frac {1}{6}}+{\frac {3}{8}}$

g) ${\frac {4}{9}}+{\frac {1}{6}}$

h) ${\frac {1}{9}}+{\frac {1}{6}}$

2.

a) ${\frac {2}{9}}+{\frac {1}{6}}$

b) ${\frac {1}{4}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {1}{8}}$

d) ${\frac {1}{10}}+{\frac {1}{15}}$

e) ${\frac {1}{9}}+{\frac {1}{6}}$

f) ${\frac {3}{8}}+{\frac {1}{6}}$

g) ${\frac {1}{4}}+{\frac {1}{6}}$

h) ${\frac {1}{12}}+{\frac {3}{8}}$

i) ${\frac {1}{6}}+{\frac {2}{15}}$

j) ${\frac {1}{6}}+{\frac {1}{9}}$

k) ${\frac {1}{6}}+{\frac {3}{10}}$

l) ${\frac {5}{9}}+{\frac {1}{6}}$

3.

a) ${\frac {1}{6}}+{\frac {5}{9}}+{\frac {1}{2}}$

b) ${\frac {1}{8}}+{\frac {1}{6}}+{\frac {1}{4}}$

c) ${\frac {1}{6}}+{\frac {1}{3}}+{\frac {2}{9}}$

d) ${\frac {2}{9}}+{\frac {1}{6}}+{\frac {2}{3}}$

e) ${\frac {1}{4}}+{\frac {5}{12}}+{\frac {1}{18}}$

f) ${\frac {3}{16}}+{\frac {1}{6}}+{\frac {1}{12}}$

g) ${\frac {1}{8}}+{\frac {1}{10}}+{\frac {1}{4}}$

h) ${\frac {1}{15}}+{\frac {1}{3}}+{\frac {1}{10}}$

i) ${\frac {1}{6}}+{\frac {1}{14}}+{\frac {2}{21}}$

4.

a) ${\frac {1}{3}}+{\frac {1}{10}}+{\frac {1}{15}}+{\frac {1}{6}}$

b) ${\frac {1}{10}}+{\frac {8}{15}}+{\frac {1}{5}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {5}{12}}+{\frac {1}{24}}+{\frac {5}{16}}$

d) ${\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{2}}$

e) ${\frac {1}{16}}+{\frac {1}{6}}+{\frac {1}{8}}+{\frac {1}{12}}$

f) ${\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}+{\frac {1}{2}}$

g) ${\frac {3}{4}}+{\frac {1}{3}}+{\frac {1}{6}}+{\frac {1}{2}}$

h) ${\frac {1}{6}}+{\frac {1}{10}}+{\frac {1}{5}}+{\frac {2}{15}}$

i) ${\frac {1}{15}}+{\frac {1}{6}}+{\frac {3}{5}}+{\frac {2}{3}}$

Lösungen

1-2: ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {11}{30}}$  ${\frac {5}{18}}$  ${\frac {13}{12}}$  ${\frac {13}{24}}$  ${\frac {11}{18}}$  ${\frac {11}{18}}$  ${\frac {11}{12}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {11}{30}}$  ${\frac {5}{24}}$  ${\frac {13}{24}}$  ${\frac {5}{18}}$  ${\frac {11}{24}}$  ${\frac {7}{24}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {5}{12}}$  ${\frac {5}{12}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {7}{24}}$  ${\frac {13}{18}}$  ${\frac {3}{10}}$  ${\frac {1}{6}}$  ${\frac {5}{24}}$  ${\frac {4}{15}}$  ${\frac {11}{20}}$  ${\frac {7}{15}}$  ${\frac {13}{24}}$  ${\frac {5}{12}}$  ${\frac {11}{18}}$  ${\frac {7}{18}}$  ${\frac {11}{12}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {11}{18}}$  ${\frac {19}{24}}$  3-4: ${\frac {15}{16}}$  ${\frac {7}{8}}$  ${\frac {7}{8}}$  ${\frac {3}{7}}$  ${\frac {1}{1}}$  ${\frac {19}{40}}$  ${\frac {4}{7}}$  ${\frac {7}{16}}$  ${\frac {5}{8}}$  ${\frac {10}{9}}$  ${\frac {2}{3}}$  ${\frac {13}{9}}$  ${\frac {5}{4}}$  ${\frac {7}{4}}$  ${\frac {15}{4}}$  ${\frac {19}{9}}$  ${\frac {23}{12}}$  ${\frac {7}{16}}$  ${\frac {11}{16}}$  ${\frac {1}{2}}$  ${\frac {11}{9}}$  ${\frac {5}{4}}$  ${\frac {13}{24}}$  ${\frac {4}{7}}$  ${\frac {19}{18}}$  ${\frac {13}{18}}$  ${\frac {1}{2}}$  ${\frac {1}{3}}$  ${\frac {7}{8}}$  ${\frac {7}{16}}$  ${\frac {13}{18}}$  ${\frac {13}{48}}$  ${\frac {1}{3}}$  ${\frac {11}{8}}$  ${\frac {13}{18}}$  ${\frac {3}{2}}$  ${\frac {3}{5}}$  ${\frac {3}{5}}$  ${\frac {19}{40}}$  ${\frac {53}{50}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{15}}+{\frac {1}{10}}$

b) ${\frac {1}{6}}+{\frac {1}{15}}$

c) ${\frac {1}{4}}+{\frac {1}{10}}$

d) ${\frac {1}{9}}+{\frac {1}{6}}$

e) ${\frac {1}{8}}+{\frac {1}{12}}$

f) ${\frac {5}{12}}+{\frac {3}{8}}$

g) ${\frac {1}{6}}+{\frac {1}{9}}$

h) ${\frac {1}{6}}+{\frac {2}{9}}$

2.

a) ${\frac {1}{10}}+{\frac {1}{6}}$

b) ${\frac {1}{15}}+{\frac {1}{10}}$

c) ${\frac {1}{6}}+{\frac {3}{10}}$

d) ${\frac {1}{6}}+{\frac {1}{8}}$

e) ${\frac {1}{6}}+{\frac {1}{8}}$

f) ${\frac {2}{15}}+{\frac {1}{6}}$

g) ${\frac {1}{6}}+{\frac {2}{15}}$

h) ${\frac {1}{4}}+{\frac {3}{14}}$

i) ${\frac {2}{9}}+{\frac {1}{6}}$

j) ${\frac {1}{8}}+{\frac {1}{6}}$

k) ${\frac {3}{8}}+{\frac {5}{12}}$

l) ${\frac {2}{9}}+{\frac {1}{6}}$

3.

a) ${\frac {2}{21}}+{\frac {1}{6}}+{\frac {1}{14}}$

b) ${\frac {1}{3}}+{\frac {7}{6}}+{\frac {1}{4}}$

c) ${\frac {1}{8}}+{\frac {1}{6}}+{\frac {1}{12}}$

d) ${\frac {1}{24}}+{\frac {1}{12}}+{\frac {1}{16}}$

e) ${\frac {1}{15}}+{\frac {1}{10}}+{\frac {1}{6}}$

f) ${\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{18}}$

g) ${\frac {5}{6}}+{\frac {1}{4}}+{\frac {2}{3}}$

h) ${\frac {1}{4}}+{\frac {7}{18}}+{\frac {1}{9}}$

i) ${\frac {3}{2}}+{\frac {1}{6}}+{\frac {5}{4}}$

4.

a) ${\frac {1}{8}}+{\frac {5}{6}}+{\frac {1}{3}}+{\frac {1}{12}}$

b) ${\frac {5}{9}}+{\frac {5}{12}}+{\frac {5}{18}}+{\frac {1}{4}}$

c) ${\frac {1}{9}}+{\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{12}}$

d) ${\frac {1}{3}}+{\frac {1}{10}}+{\frac {1}{6}}+{\frac {2}{5}}$

e) ${\frac {5}{12}}+{\frac {1}{24}}+{\frac {1}{16}}+{\frac {1}{6}}$

f) ${\frac {5}{24}}+{\frac {1}{6}}+{\frac {1}{16}}+{\frac {3}{8}}$

g) ${\frac {1}{4}}+{\frac {9}{20}}+{\frac {1}{10}}+{\frac {3}{8}}$

h) ${\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}+{\frac {3}{2}}$

i) ${\frac {3}{14}}+{\frac {1}{21}}+{\frac {1}{7}}+{\frac {1}{6}}$

Lösungen

1-2: ${\frac {9}{28}}$  ${\frac {1}{6}}$  ${\frac {7}{18}}$  ${\frac {5}{12}}$  ${\frac {5}{24}}$  ${\frac {13}{18}}$  ${\frac {11}{20}}$  ${\frac {5}{24}}$  ${\frac {1}{6}}$  ${\frac {11}{30}}$  ${\frac {7}{24}}$  ${\frac {7}{20}}$  ${\frac {7}{24}}$  ${\frac {7}{24}}$  ${\frac {7}{30}}$  ${\frac {13}{28}}$  ${\frac {4}{15}}$  ${\frac {7}{24}}$  ${\frac {7}{18}}$  ${\frac {7}{24}}$  ${\frac {7}{15}}$  ${\frac {5}{18}}$  ${\frac {19}{24}}$  ${\frac {13}{12}}$  ${\frac {3}{10}}$  ${\frac {7}{18}}$  ${\frac {3}{10}}$  ${\frac {13}{24}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {19}{24}}$  ${\frac {5}{18}}$  ${\frac {9}{28}}$  ${\frac {1}{6}}$  ${\frac {1}{6}}$  ${\frac {7}{20}}$  ${\frac {1}{6}}$  ${\frac {3}{10}}$  ${\frac {4}{15}}$  ${\frac {7}{24}}$  3-4: ${\frac {11}{8}}$  ${\frac {37}{40}}$  ${\frac {17}{30}}$  ${\frac {13}{36}}$  ${\frac {1}{1}}$  ${\frac {7}{4}}$  ${\frac {25}{28}}$  ${\frac {13}{16}}$  ${\frac {10}{9}}$  ${\frac {3}{2}}$  ${\frac {1}{2}}$  ${\frac {7}{4}}$  ${\frac {11}{16}}$  ${\frac {9}{4}}$  ${\frac {13}{12}}$  ${\frac {47}{40}}$  ${\frac {35}{12}}$  ${\frac {7}{4}}$  ${\frac {19}{40}}$  ${\frac {17}{18}}$  ${\frac {3}{4}}$  ${\frac {4}{7}}$  ${\frac {3}{16}}$  ${\frac {1}{2}}$  ${\frac {3}{8}}$  ${\frac {1}{3}}$  ${\frac {3}{4}}$  ${\frac {3}{8}}$  ${\frac {5}{6}}$  ${\frac {1}{3}}$  ${\frac {17}{36}}$  ${\frac {5}{4}}$  ${\frac {17}{36}}$  ${\frac {5}{16}}$  ${\frac {1}{3}}$  ${\frac {9}{4}}$  ${\frac {4}{7}}$  ${\frac {4}{3}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {2}{9}}$

b) ${\frac {1}{9}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {1}{9}}$

d) ${\frac {1}{6}}+{\frac {2}{9}}$

e) ${\frac {1}{6}}+{\frac {1}{10}}$

f) ${\frac {1}{4}}+{\frac {5}{14}}$

g) ${\frac {1}{8}}+{\frac {1}{12}}$

h) ${\frac {1}{6}}+{\frac {4}{15}}$

2.

a) ${\frac {4}{9}}+{\frac {1}{6}}$

b) ${\frac {1}{4}}+{\frac {3}{14}}$

c) ${\frac {1}{9}}+{\frac {1}{6}}$

d) ${\frac {1}{6}}+{\frac {1}{8}}$

e) ${\frac {1}{6}}+{\frac {4}{15}}$

f) ${\frac {1}{4}}+{\frac {1}{6}}$

g) ${\frac {1}{4}}+{\frac {5}{6}}$

h) ${\frac {1}{8}}+{\frac {1}{6}}$

i) ${\frac {1}{4}}+{\frac {5}{14}}$

j) ${\frac {4}{9}}+{\frac {1}{6}}$

k) ${\frac {1}{6}}+{\frac {1}{8}}$

l) ${\frac {1}{12}}+{\frac {3}{8}}$

3.

a) ${\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{24}}$

b) ${\frac {1}{3}}+{\frac {4}{15}}+{\frac {1}{6}}$

c) ${\frac {3}{2}}+{\frac {5}{4}}+{\frac {1}{6}}$

d) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{4}}$

e) ${\frac {1}{12}}+{\frac {5}{16}}+{\frac {1}{24}}$

f) ${\frac {1}{6}}+{\frac {4}{15}}+{\frac {2}{3}}$

g) ${\frac {5}{24}}+{\frac {1}{16}}+{\frac {1}{6}}$

h) ${\frac {1}{20}}+{\frac {3}{8}}+{\frac {1}{10}}$

i) ${\frac {1}{6}}+{\frac {3}{16}}+{\frac {1}{8}}$

4.

a) ${\frac {2}{3}}+{\frac {5}{6}}+{\frac {3}{4}}+{\frac {1}{2}}$

b) ${\frac {3}{16}}+{\frac {5}{12}}+{\frac {7}{24}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {5}{8}}+{\frac {1}{3}}+{\frac {5}{12}}$

d) ${\frac {1}{10}}+{\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{5}}$

e) ${\frac {1}{12}}+{\frac {5}{9}}+{\frac {1}{4}}+{\frac {1}{6}}$

f) ${\frac {3}{16}}+{\frac {1}{8}}+{\frac {1}{24}}+{\frac {1}{12}}$

g) ${\frac {1}{4}}+{\frac {5}{9}}+{\frac {1}{12}}+{\frac {5}{18}}$

h) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{16}}+{\frac {7}{24}}$

i) ${\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{2}}+{\frac {1}{6}}$

Lösungen

1-2: ${\frac {7}{15}}$  ${\frac {7}{18}}$  ${\frac {17}{28}}$  ${\frac {3}{10}}$  ${\frac {7}{18}}$  ${\frac {13}{28}}$  ${\frac {11}{24}}$  ${\frac {7}{18}}$  ${\frac {7}{18}}$  ${\frac {13}{28}}$  ${\frac {5}{12}}$  ${\frac {13}{18}}$  ${\frac {11}{12}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {13}{12}}$  ${\frac {11}{24}}$  ${\frac {5}{18}}$  ${\frac {13}{30}}$  ${\frac {13}{18}}$  ${\frac {7}{24}}$  ${\frac {13}{30}}$  ${\frac {5}{24}}$  ${\frac {7}{24}}$  ${\frac {11}{18}}$  ${\frac {7}{24}}$  ${\frac {7}{18}}$  ${\frac {11}{12}}$  ${\frac {7}{24}}$  ${\frac {7}{24}}$  ${\frac {9}{28}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {7}{15}}$  ${\frac {11}{18}}$  ${\frac {5}{18}}$  ${\frac {17}{28}}$  ${\frac {11}{24}}$  ${\frac {7}{24}}$  ${\frac {9}{28}}$  3-4: ${\frac {11}{4}}$  ${\frac {1}{3}}$  ${\frac {2}{7}}$  ${\frac {9}{8}}$  ${\frac {37}{24}}$  ${\frac {7}{18}}$  ${\frac {21}{20}}$  ${\frac {7}{6}}$  ${\frac {31}{24}}$  ${\frac {21}{20}}$  ${\frac {17}{16}}$  ${\frac {5}{8}}$  ${\frac {19}{18}}$  ${\frac {7}{16}}$  ${\frac {1}{1}}$  ${\frac {29}{48}}$  ${\frac {11}{12}}$  ${\frac {11}{10}}$  ${\frac {1}{1}}$  ${\frac {6}{7}}$  ${\frac {3}{16}}$  ${\frac {5}{4}}$  ${\frac {23}{30}}$  ${\frac {5}{8}}$  ${\frac {35}{12}}$  ${\frac {7}{16}}$  ${\frac {21}{40}}$  ${\frac {29}{28}}$  ${\frac {13}{4}}$  ${\frac {23}{48}}$  ${\frac {7}{16}}$  ${\frac {11}{20}}$  ${\frac {9}{4}}$  ${\frac {3}{2}}$  ${\frac {11}{12}}$  ${\frac {5}{4}}$  ${\frac {1}{1}}$  ${\frac {11}{8}}$  ${\frac {29}{24}}$  ${\frac {31}{50}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {3}{4}}+{\frac {1}{6}}$

b) ${\frac {3}{8}}+{\frac {1}{6}}$

c) ${\frac {1}{4}}+{\frac {1}{6}}$

d) ${\frac {1}{6}}+{\frac {3}{8}}$

e) ${\frac {1}{6}}+{\frac {1}{8}}$

f) ${\frac {2}{15}}+{\frac {1}{6}}$

g) ${\frac {3}{4}}+{\frac {1}{6}}$

h) ${\frac {5}{9}}+{\frac {1}{6}}$

2.

a) ${\frac {1}{6}}+{\frac {1}{9}}$

b) ${\frac {1}{9}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {5}{9}}$

d) ${\frac {3}{14}}+{\frac {1}{4}}$

e) ${\frac {1}{14}}+{\frac {1}{4}}$

f) ${\frac {1}{15}}+{\frac {1}{10}}$

g) ${\frac {1}{4}}+{\frac {1}{6}}$

h) ${\frac {1}{8}}+{\frac {1}{6}}$

i) ${\frac {1}{9}}+{\frac {1}{6}}$

j) ${\frac {3}{14}}+{\frac {1}{4}}$

k) ${\frac {1}{4}}+{\frac {1}{10}}$

l) ${\frac {1}{9}}+{\frac {1}{6}}$

3.

a) ${\frac {3}{8}}+{\frac {7}{12}}+{\frac {1}{6}}$

b) ${\frac {1}{16}}+{\frac {1}{6}}+{\frac {3}{8}}$

c) ${\frac {1}{5}}+{\frac {3}{10}}+{\frac {1}{4}}$

d) ${\frac {1}{7}}+{\frac {1}{6}}+{\frac {1}{14}}$

e) ${\frac {1}{4}}+{\frac {1}{14}}+{\frac {1}{7}}$

f) ${\frac {1}{18}}+{\frac {1}{6}}+{\frac {1}{4}}$

g) ${\frac {1}{4}}+{\frac {1}{12}}+{\frac {1}{18}}$

h) ${\frac {5}{6}}+{\frac {10}{9}}+{\frac {1}{2}}$

i) ${\frac {4}{21}}+{\frac {1}{6}}+{\frac {1}{14}}$

4.

a) ${\frac {1}{4}}+{\frac {4}{9}}+{\frac {1}{18}}+{\frac {5}{12}}$

b) ${\frac {1}{6}}+{\frac {1}{4}}+{\frac {5}{18}}+{\frac {1}{12}}$

c) ${\frac {2}{15}}+{\frac {1}{10}}+{\frac {1}{6}}+{\frac {2}{5}}$

d) ${\frac {1}{6}}+{\frac {1}{12}}+{\frac {1}{8}}+{\frac {1}{4}}$

e) ${\frac {2}{9}}+{\frac {5}{12}}+{\frac {1}{6}}+{\frac {1}{4}}$

f) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{9}}+{\frac {1}{4}}$

g) ${\frac {1}{15}}+{\frac {1}{10}}+{\frac {1}{3}}+{\frac {1}{6}}$

h) ${\frac {1}{4}}+{\frac {1}{2}}+{\frac {1}{6}}+{\frac {4}{3}}$

i) ${\frac {1}{2}}+{\frac {1}{9}}+{\frac {5}{6}}+{\frac {1}{3}}$

Lösungen

1-2: ${\frac {13}{18}}$  ${\frac {11}{12}}$  ${\frac {7}{24}}$  ${\frac {13}{24}}$  ${\frac {11}{18}}$  ${\frac {5}{18}}$  ${\frac {7}{24}}$  ${\frac {13}{24}}$  ${\frac {1}{6}}$  ${\frac {5}{18}}$  ${\frac {13}{28}}$  ${\frac {7}{24}}$  ${\frac {13}{12}}$  ${\frac {9}{28}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {5}{18}}$  ${\frac {13}{18}}$  ${\frac {5}{12}}$  ${\frac {11}{20}}$  ${\frac {7}{20}}$  ${\frac {13}{18}}$  ${\frac {11}{12}}$  ${\frac {1}{6}}$  ${\frac {1}{6}}$  ${\frac {1}{6}}$  ${\frac {9}{28}}$  ${\frac {7}{20}}$  ${\frac {5}{18}}$  ${\frac {5}{18}}$  ${\frac {13}{28}}$  ${\frac {3}{10}}$  ${\frac {11}{20}}$  ${\frac {11}{20}}$  ${\frac {5}{24}}$  ${\frac {13}{24}}$  ${\frac {5}{18}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {13}{12}}$  3-4: ${\frac {7}{6}}$  ${\frac {33}{20}}$  ${\frac {27}{50}}$  ${\frac {4}{9}}$  ${\frac {5}{8}}$  ${\frac {17}{36}}$  ${\frac {10}{9}}$  ${\frac {1}{2}}$  ${\frac {7}{12}}$  ${\frac {7}{9}}$  ${\frac {5}{8}}$  ${\frac {7}{8}}$  ${\frac {4}{5}}$  ${\frac {1}{1}}$  ${\frac {13}{4}}$  ${\frac {11}{9}}$  ${\frac {3}{4}}$  ${\frac {7}{18}}$  ${\frac {16}{9}}$  ${\frac {4}{5}}$  ${\frac {9}{8}}$  ${\frac {11}{16}}$  ${\frac {29}{48}}$  ${\frac {9}{4}}$  ${\frac {13}{28}}$  ${\frac {3}{4}}$  ${\frac {13}{24}}$  ${\frac {3}{7}}$  ${\frac {3}{4}}$  ${\frac {22}{9}}$  ${\frac {8}{21}}$  ${\frac {11}{36}}$  ${\frac {3}{4}}$  ${\frac {1}{1}}$  ${\frac {17}{18}}$  ${\frac {2}{3}}$  ${\frac {19}{18}}$  ${\frac {11}{16}}$  ${\frac {5}{9}}$  ${\frac {5}{12}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {2}{9}}$

b) ${\frac {1}{4}}+{\frac {1}{10}}$

c) ${\frac {1}{6}}+{\frac {2}{9}}$

d) ${\frac {1}{8}}+{\frac {1}{12}}$

e) ${\frac {1}{4}}+{\frac {3}{10}}$

f) ${\frac {1}{8}}+{\frac {5}{12}}$

g) ${\frac {1}{4}}+{\frac {3}{14}}$

h) ${\frac {1}{12}}+{\frac {1}{8}}$

2.

a) ${\frac {1}{4}}+{\frac {1}{10}}$

b) ${\frac {1}{4}}+{\frac {5}{6}}$

c) ${\frac {3}{4}}+{\frac {1}{6}}$

d) ${\frac {1}{12}}+{\frac {3}{8}}$

e) ${\frac {1}{9}}+{\frac {1}{6}}$

f) ${\frac {1}{4}}+{\frac {5}{6}}$

g) ${\frac {1}{12}}+{\frac {1}{8}}$

h) ${\frac {1}{4}}+{\frac {1}{6}}$

i) ${\frac {4}{9}}+{\frac {1}{6}}$

j) ${\frac {1}{6}}+{\frac {1}{4}}$

k) ${\frac {1}{4}}+{\frac {1}{6}}$

l) ${\frac {1}{4}}+{\frac {3}{10}}$

3.

a) ${\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{18}}$

b) ${\frac {4}{21}}+{\frac {1}{6}}+{\frac {1}{7}}$

c) ${\frac {3}{4}}+{\frac {1}{5}}+{\frac {3}{10}}$

d) ${\frac {1}{2}}+{\frac {2}{9}}+{\frac {5}{6}}$

e) ${\frac {1}{6}}+{\frac {1}{3}}+{\frac {3}{4}}$

f) ${\frac {1}{5}}+{\frac {1}{10}}+{\frac {7}{25}}$

g) ${\frac {7}{9}}+{\frac {1}{3}}+{\frac {1}{6}}$

h) ${\frac {1}{6}}+{\frac {8}{15}}+{\frac {1}{10}}$

i) ${\frac {3}{8}}+{\frac {1}{6}}+{\frac {1}{3}}$

4.

a) ${\frac {5}{6}}+{\frac {1}{3}}+{\frac {1}{2}}+{\frac {2}{9}}$

b) ${\frac {5}{14}}+{\frac {1}{6}}+{\frac {8}{21}}+{\frac {3}{7}}$

c) ${\frac {1}{9}}+{\frac {5}{12}}+{\frac {1}{18}}+{\frac {1}{6}}$

d) ${\frac {4}{9}}+{\frac {1}{12}}+{\frac {1}{4}}+{\frac {1}{6}}$

e) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{9}}+{\frac {1}{4}}$

f) ${\frac {4}{21}}+{\frac {1}{14}}+{\frac {1}{6}}+{\frac {3}{7}}$

g) ${\frac {5}{16}}+{\frac {1}{6}}+{\frac {3}{8}}+{\frac {1}{12}}$

h) ${\frac {3}{8}}+{\frac {1}{5}}+{\frac {1}{20}}+{\frac {3}{10}}$

i) ${\frac {1}{4}}+{\frac {2}{9}}+{\frac {5}{18}}+{\frac {1}{6}}$

Lösungen

1-2: ${\frac {11}{12}}$  ${\frac {7}{18}}$  ${\frac {7}{20}}$  ${\frac {19}{12}}$  ${\frac {13}{28}}$  ${\frac {5}{18}}$  ${\frac {17}{28}}$  ${\frac {7}{18}}$  ${\frac {5}{12}}$  ${\frac {13}{12}}$  ${\frac {11}{12}}$  ${\frac {5}{12}}$  ${\frac {5}{24}}$  ${\frac {11}{18}}$  ${\frac {13}{24}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {13}{12}}$  ${\frac {4}{15}}$  ${\frac {11}{24}}$  ${\frac {11}{20}}$  ${\frac {7}{20}}$  ${\frac {11}{18}}$  ${\frac {5}{24}}$  ${\frac {11}{20}}$  ${\frac {11}{18}}$  ${\frac {3}{10}}$  ${\frac {7}{20}}$  ${\frac {5}{24}}$  ${\frac {5}{18}}$  ${\frac {5}{24}}$  ${\frac {13}{24}}$  ${\frac {13}{24}}$  ${\frac {5}{24}}$  ${\frac {13}{28}}$  ${\frac {5}{12}}$  ${\frac {7}{20}}$  ${\frac {17}{28}}$  ${\frac {7}{24}}$  3-4: ${\frac {3}{4}}$  ${\frac {29}{50}}$  ${\frac {9}{10}}$  ${\frac {3}{8}}$  ${\frac {17}{9}}$  ${\frac {23}{12}}$  ${\frac {1}{3}}$  ${\frac {11}{18}}$  ${\frac {3}{4}}$  ${\frac {4}{3}}$  ${\frac {6}{7}}$  ${\frac {4}{7}}$  ${\frac {17}{18}}$  ${\frac {5}{4}}$  ${\frac {5}{8}}$  ${\frac {37}{40}}$  ${\frac {3}{4}}$  ${\frac {23}{18}}$  ${\frac {11}{18}}$  ${\frac {3}{7}}$  ${\frac {14}{9}}$  ${\frac {13}{16}}$  ${\frac {1}{2}}$  ${\frac {9}{16}}$  ${\frac {5}{4}}$  ${\frac {5}{4}}$  ${\frac {29}{50}}$  ${\frac {4}{5}}$  ${\frac {13}{8}}$  ${\frac {5}{8}}$  ${\frac {17}{36}}$  ${\frac {7}{8}}$  ${\frac {19}{24}}$  ${\frac {13}{16}}$  ${\frac {2}{3}}$  ${\frac {15}{16}}$  ${\frac {11}{12}}$  ${\frac {13}{9}}$  ${\frac {29}{20}}$  ${\frac {29}{28}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{9}}+{\frac {1}{6}}$

b) ${\frac {1}{6}}+{\frac {3}{4}}$

c) ${\frac {1}{12}}+{\frac {1}{8}}$

d) ${\frac {1}{6}}+{\frac {1}{15}}$

e) ${\frac {1}{9}}+{\frac {1}{6}}$

f) ${\frac {1}{4}}+{\frac {1}{10}}$

g) ${\frac {1}{6}}+{\frac {3}{10}}$

h) ${\frac {1}{15}}+{\frac {1}{10}}$

2.

a) ${\frac {1}{12}}+{\frac {3}{8}}$

b) ${\frac {1}{10}}+{\frac {1}{15}}$

c) ${\frac {1}{4}}+{\frac {1}{6}}$

d) ${\frac {1}{6}}+{\frac {3}{8}}$

e) ${\frac {5}{6}}+{\frac {3}{4}}$

f) ${\frac {1}{4}}+{\frac {5}{6}}$

g) ${\frac {3}{10}}+{\frac {1}{4}}$

h) ${\frac {5}{6}}+{\frac {3}{4}}$

i) ${\frac {1}{6}}+{\frac {2}{9}}$

j) ${\frac {1}{6}}+{\frac {1}{8}}$

k) ${\frac {1}{12}}+{\frac {3}{8}}$

l) ${\frac {1}{6}}+{\frac {1}{4}}$

3.

a) ${\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{6}}$

b) ${\frac {3}{7}}+{\frac {8}{21}}+{\frac {5}{14}}$

c) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{9}}$

d) ${\frac {1}{4}}+{\frac {7}{18}}+{\frac {1}{9}}$

e) ${\frac {1}{6}}+{\frac {4}{9}}+{\frac {1}{12}}$

f) ${\frac {1}{3}}+{\frac {1}{8}}+{\frac {1}{6}}$

g) ${\frac {1}{8}}+{\frac {3}{10}}+{\frac {1}{5}}$

h) ${\frac {1}{16}}+{\frac {5}{12}}+{\frac {5}{24}}$

i) ${\frac {1}{16}}+{\frac {1}{12}}+{\frac {1}{6}}$

4.

a) ${\frac {4}{21}}+{\frac {1}{14}}+{\frac {3}{7}}+{\frac {1}{6}}$

b) ${\frac {2}{9}}+{\frac {5}{12}}+{\frac {7}{18}}+{\frac {1}{4}}$

c) ${\frac {1}{3}}+{\frac {1}{8}}+{\frac {1}{6}}+{\frac {7}{12}}$

d) ${\frac {5}{18}}+{\frac {1}{12}}+{\frac {1}{4}}+{\frac {2}{9}}$

e) ${\frac {2}{3}}+{\frac {1}{8}}+{\frac {1}{12}}+{\frac {5}{6}}$

f) ${\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{6}}+{\frac {1}{24}}$

g) ${\frac {4}{9}}+{\frac {1}{12}}+{\frac {5}{18}}+{\frac {1}{6}}$

h) ${\frac {1}{6}}+{\frac {3}{4}}+{\frac {1}{8}}+{\frac {1}{12}}$

i) ${\frac {1}{6}}+{\frac {5}{24}}+{\frac {1}{8}}+{\frac {1}{16}}$

Lösungen

1-2: ${\frac {5}{18}}$  ${\frac {11}{12}}$  ${\frac {7}{15}}$  ${\frac {7}{18}}$  ${\frac {13}{28}}$  ${\frac {3}{10}}$  ${\frac {11}{18}}$  ${\frac {7}{30}}$  ${\frac {5}{18}}$  ${\frac {7}{20}}$  ${\frac {19}{12}}$  ${\frac {7}{24}}$  ${\frac {11}{20}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {7}{18}}$  ${\frac {7}{20}}$  ${\frac {13}{24}}$  ${\frac {19}{12}}$  ${\frac {5}{12}}$  ${\frac {5}{12}}$  ${\frac {1}{6}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  ${\frac {13}{12}}$  ${\frac {11}{24}}$  ${\frac {5}{18}}$  ${\frac {7}{20}}$  ${\frac {1}{6}}$  ${\frac {4}{15}}$  ${\frac {11}{20}}$  ${\frac {1}{6}}$  ${\frac {13}{24}}$  ${\frac {5}{18}}$  ${\frac {11}{24}}$  ${\frac {5}{24}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {3}{10}}$  3-4: ${\frac {6}{7}}$  ${\frac {1}{3}}$  ${\frac {1}{2}}$  ${\frac {3}{4}}$  ${\frac {23}{18}}$  ${\frac {25}{36}}$  ${\frac {9}{10}}$  ${\frac {5}{6}}$  ${\frac {7}{12}}$  ${\frac {29}{24}}$  ${\frac {41}{24}}$  ${\frac {1}{2}}$  ${\frac {9}{8}}$  ${\frac {35}{36}}$  ${\frac {10}{9}}$  ${\frac {9}{16}}$  ${\frac {35}{18}}$  ${\frac {11}{16}}$  ${\frac {3}{4}}$  ${\frac {9}{8}}$  ${\frac {17}{36}}$  ${\frac {17}{16}}$  ${\frac {1}{4}}$  ${\frac {1}{2}}$  ${\frac {3}{4}}$  ${\frac {7}{6}}$  ${\frac {5}{8}}$  ${\frac {5}{8}}$  ${\frac {1}{2}}$  ${\frac {4}{5}}$  ${\frac {5}{8}}$  ${\frac {5}{16}}$  ${\frac {3}{4}}$  ${\frac {9}{16}}$  ${\frac {1}{3}}$  ${\frac {17}{48}}$  ${\frac {7}{16}}$  ${\frac {19}{40}}$  ${\frac {3}{4}}$  ${\frac {13}{28}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {2}{9}}$

b) ${\frac {1}{9}}+{\frac {1}{6}}$

c) ${\frac {1}{4}}+{\frac {1}{14}}$

d) ${\frac {1}{10}}+{\frac {1}{15}}$

e) ${\frac {1}{6}}+{\frac {2}{9}}$

f) ${\frac {1}{12}}+{\frac {1}{8}}$

g) ${\frac {1}{10}}+{\frac {1}{6}}$

h) ${\frac {1}{10}}+{\frac {1}{6}}$

2.

a) ${\frac {3}{4}}+{\frac {1}{6}}$

b) ${\frac {1}{4}}+{\frac {1}{6}}$

c) ${\frac {1}{4}}+{\frac {1}{14}}$

d) ${\frac {1}{6}}+{\frac {1}{10}}$

e) ${\frac {1}{6}}+{\frac {1}{4}}$

f) ${\frac {1}{6}}+{\frac {1}{10}}$

g) ${\frac {2}{15}}+{\frac {1}{6}}$

h) ${\frac {1}{4}}+{\frac {1}{6}}$

i) ${\frac {4}{9}}+{\frac {1}{6}}$

j) ${\frac {1}{8}}+{\frac {1}{12}}$

k) ${\frac {5}{9}}+{\frac {1}{6}}$

l) ${\frac {1}{8}}+{\frac {1}{6}}$

3.

a) ${\frac {1}{25}}+{\frac {1}{5}}+{\frac {1}{10}}$

b) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {5}{16}}$

c) ${\frac {5}{12}}+{\frac {5}{18}}+{\frac {5}{9}}$

d) ${\frac {3}{14}}+{\frac {1}{4}}+{\frac {3}{7}}$

e) ${\frac {1}{9}}+{\frac {1}{15}}+{\frac {1}{5}}$

f) ${\frac {4}{21}}+{\frac {1}{6}}+{\frac {1}{14}}$

g) ${\frac {2}{7}}+{\frac {1}{6}}+{\frac {1}{21}}$

h) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{4}}$

i) ${\frac {1}{6}}+{\frac {2}{21}}+{\frac {1}{14}}$

4.

a) ${\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{6}}+{\frac {3}{2}}$

b) ${\frac {1}{6}}+{\frac {2}{3}}+{\frac {5}{12}}+{\frac {1}{8}}$

c) ${\frac {3}{2}}+{\frac {7}{6}}+{\frac {1}{4}}+{\frac {1}{3}}$

d) ${\frac {3}{2}}+{\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}$

e) ${\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{9}}$

f) ${\frac {1}{4}}+{\frac {7}{6}}+{\frac {1}{2}}+{\frac {4}{3}}$

g) ${\frac {1}{2}}+{\frac {1}{6}}+{\frac {8}{9}}+{\frac {2}{3}}$

h) ${\frac {1}{4}}+{\frac {1}{5}}+{\frac {1}{2}}+{\frac {3}{10}}$

i) ${\frac {5}{14}}+{\frac {8}{21}}+{\frac {1}{6}}+{\frac {3}{7}}$

Lösungen

1-2: ${\frac {9}{28}}$  ${\frac {9}{28}}$  ${\frac {7}{18}}$  ${\frac {1}{6}}$  ${\frac {13}{28}}$  ${\frac {7}{24}}$  ${\frac {5}{24}}$  ${\frac {1}{6}}$  ${\frac {11}{18}}$  ${\frac {7}{18}}$  ${\frac {11}{18}}$  ${\frac {7}{20}}$  ${\frac {5}{12}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {5}{24}}$  ${\frac {4}{15}}$  ${\frac {5}{12}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {9}{28}}$  ${\frac {5}{24}}$  ${\frac {4}{15}}$  ${\frac {5}{12}}$  ${\frac {4}{15}}$  ${\frac {3}{10}}$  ${\frac {1}{6}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {7}{20}}$  ${\frac {5}{24}}$  ${\frac {1}{6}}$  ${\frac {7}{20}}$  ${\frac {11}{12}}$  ${\frac {7}{18}}$  ${\frac {7}{24}}$  ${\frac {13}{18}}$  ${\frac {9}{28}}$  ${\frac {13}{28}}$  3-4: ${\frac {13}{4}}$  ${\frac {17}{36}}$  ${\frac {17}{28}}$  ${\frac {1}{2}}$  ${\frac {11}{8}}$  ${\frac {17}{45}}$  ${\frac {29}{40}}$  ${\frac {9}{4}}$  ${\frac {19}{48}}$  ${\frac {9}{4}}$  ${\frac {1}{2}}$  ${\frac {11}{10}}$  ${\frac {20}{9}}$  ${\frac {5}{4}}$  ${\frac {29}{40}}$  ${\frac {37}{24}}$  ${\frac {3}{4}}$  ${\frac {7}{18}}$  ${\frac {1}{2}}$  ${\frac {6}{7}}$  ${\frac {17}{50}}$  ${\frac {13}{18}}$  ${\frac {5}{4}}$  ${\frac {4}{3}}$  ${\frac {9}{16}}$  ${\frac {3}{7}}$  ${\frac {1}{3}}$  ${\frac {25}{12}}$  ${\frac {13}{16}}$  ${\frac {25}{28}}$  ${\frac {1}{2}}$  ${\frac {5}{8}}$  ${\frac {1}{3}}$  ${\frac {23}{48}}$  ${\frac {7}{18}}$  ${\frac {13}{4}}$  ${\frac {11}{8}}$  ${\frac {7}{16}}$  ${\frac {9}{16}}$  ${\frac {11}{18}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {1}{15}}$

b) ${\frac {1}{10}}+{\frac {1}{6}}$

c) ${\frac {1}{8}}+{\frac {1}{6}}$

d) ${\frac {1}{8}}+{\frac {1}{12}}$

e) ${\frac {1}{6}}+{\frac {1}{15}}$

f) ${\frac {1}{4}}+{\frac {1}{10}}$

g) ${\frac {1}{4}}+{\frac {3}{14}}$

h) ${\frac {1}{6}}+{\frac {1}{9}}$

2.

a) ${\frac {1}{6}}+{\frac {2}{15}}$

b) ${\frac {1}{4}}+{\frac {5}{6}}$

c) ${\frac {1}{6}}+{\frac {1}{4}}$

d) ${\frac {1}{4}}+{\frac {1}{10}}$

e) ${\frac {1}{6}}+{\frac {3}{10}}$

f) ${\frac {5}{6}}+{\frac {1}{4}}$

g) ${\frac {3}{14}}+{\frac {1}{4}}$

h) ${\frac {1}{4}}+{\frac {5}{14}}$

i) ${\frac {3}{8}}+{\frac {1}{12}}$

j) ${\frac {5}{6}}+{\frac {1}{4}}$

k) ${\frac {1}{12}}+{\frac {1}{8}}$

l) ${\frac {1}{6}}+{\frac {1}{4}}$

3.

a) ${\frac {1}{6}}+{\frac {3}{4}}+{\frac {3}{2}}$

b) ${\frac {1}{8}}+{\frac {1}{12}}+{\frac {2}{3}}$

c) ${\frac {4}{3}}+{\frac {1}{6}}+{\frac {1}{4}}$

d) ${\frac {2}{25}}+{\frac {1}{10}}+{\frac {1}{5}}$

e) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{16}}$

f) ${\frac {1}{6}}+{\frac {5}{12}}+{\frac {5}{18}}$

g) ${\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{6}}$

h) ${\frac {1}{6}}+{\frac {1}{2}}+{\frac {4}{9}}$

i) ${\frac {3}{2}}+{\frac {5}{6}}+{\frac {1}{4}}$

4.

a) ${\frac {7}{24}}+{\frac {1}{16}}+{\frac {1}{12}}+{\frac {1}{8}}$

b) ${\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}+{\frac {1}{2}}$

c) ${\frac {1}{6}}+{\frac {7}{12}}+{\frac {1}{8}}+{\frac {1}{4}}$

d) ${\frac {1}{4}}+{\frac {5}{18}}+{\frac {1}{6}}+{\frac {1}{12}}$

e) ${\frac {1}{24}}+{\frac {1}{6}}+{\frac {1}{16}}+{\frac {5}{12}}$

f) ${\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{2}}+{\frac {1}{3}}$

g) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{9}}+{\frac {1}{4}}$

h) ${\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}+{\frac {1}{2}}$

i) ${\frac {1}{5}}+{\frac {1}{2}}+{\frac {3}{10}}+{\frac {3}{4}}$

Lösungen

1-2: ${\frac {5}{12}}$  ${\frac {7}{30}}$  ${\frac {3}{10}}$  ${\frac {5}{24}}$  ${\frac {13}{28}}$  ${\frac {9}{28}}$  ${\frac {11}{24}}$  ${\frac {7}{20}}$  ${\frac {7}{18}}$  ${\frac {5}{12}}$  ${\frac {5}{12}}$  ${\frac {13}{12}}$  ${\frac {7}{15}}$  ${\frac {11}{24}}$  ${\frac {7}{30}}$  ${\frac {17}{28}}$  ${\frac {4}{15}}$  ${\frac {13}{28}}$  ${\frac {7}{15}}$  ${\frac {1}{6}}$  ${\frac {7}{20}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {13}{12}}$  ${\frac {13}{12}}$  ${\frac {13}{12}}$  ${\frac {7}{24}}$  ${\frac {5}{12}}$  ${\frac {9}{28}}$  ${\frac {7}{30}}$  ${\frac {5}{12}}$  ${\frac {13}{28}}$  ${\frac {4}{15}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {5}{24}}$  ${\frac {5}{24}}$  ${\frac {13}{12}}$  ${\frac {9}{28}}$  ${\frac {5}{12}}$  3-4: ${\frac {9}{8}}$  ${\frac {11}{18}}$  ${\frac {17}{18}}$  ${\frac {7}{4}}$  ${\frac {5}{4}}$  ${\frac {7}{8}}$  ${\frac {19}{48}}$  ${\frac {11}{16}}$  ${\frac {3}{16}}$  ${\frac {9}{16}}$  ${\frac {7}{9}}$  ${\frac {1}{1}}$  ${\frac {1}{2}}$  ${\frac {43}{40}}$  ${\frac {13}{4}}$  ${\frac {7}{4}}$  ${\frac {7}{18}}$  ${\frac {31}{36}}$  ${\frac {13}{16}}$  ${\frac {9}{16}}$  ${\frac {29}{12}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$  ${\frac {5}{8}}$  ${\frac {7}{4}}$  ${\frac {19}{50}}$  ${\frac {10}{9}}$  ${\frac {25}{36}}$  ${\frac {3}{2}}$  ${\frac {31}{12}}$  ${\frac {5}{16}}$  ${\frac {7}{4}}$  ${\frac {2}{3}}$  ${\frac {4}{7}}$  ${\frac {11}{10}}$  ${\frac {5}{4}}$  ${\frac {5}{4}}$  ${\frac {7}{8}}$  ${\frac {11}{8}}$  ${\frac {4}{9}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{4}}+{\frac {1}{14}}$

b) ${\frac {1}{4}}+{\frac {1}{10}}$

c) ${\frac {1}{4}}+{\frac {1}{14}}$

d) ${\frac {1}{4}}+{\frac {1}{6}}$

e) ${\frac {1}{10}}+{\frac {1}{4}}$

f) ${\frac {1}{6}}+{\frac {1}{9}}$

g) ${\frac {1}{4}}+{\frac {1}{10}}$

h) ${\frac {1}{14}}+{\frac {1}{4}}$

2.

a) ${\frac {5}{12}}+{\frac {1}{8}}$

b) ${\frac {1}{12}}+{\frac {1}{8}}$

c) ${\frac {3}{10}}+{\frac {1}{15}}$

d) ${\frac {1}{10}}+{\frac {1}{4}}$

e) ${\frac {1}{9}}+{\frac {1}{6}}$

f) ${\frac {1}{14}}+{\frac {1}{4}}$

g) ${\frac {1}{6}}+{\frac {1}{10}}$

h) ${\frac {1}{6}}+{\frac {2}{9}}$

i) ${\frac {1}{4}}+{\frac {1}{6}}$

j) ${\frac {1}{6}}+{\frac {4}{9}}$

k) ${\frac {1}{9}}+{\frac {1}{6}}$

l) ${\frac {1}{4}}+{\frac {1}{10}}$

3.

a) ${\frac {5}{6}}+{\frac {5}{4}}+{\frac {1}{2}}$

b) ${\frac {2}{15}}+{\frac {1}{5}}+{\frac {1}{9}}$

c) ${\frac {5}{12}}+{\frac {1}{18}}+{\frac {1}{4}}$

d) ${\frac {1}{4}}+{\frac {4}{9}}+{\frac {1}{18}}$

e) ${\frac {3}{10}}+{\frac {1}{6}}+{\frac {1}{3}}$

f) ${\frac {1}{12}}+{\frac {1}{4}}+{\frac {1}{9}}$

g) ${\frac {1}{10}}+{\frac {2}{25}}+{\frac {2}{5}}$

h) ${\frac {1}{6}}+{\frac {1}{18}}+{\frac {1}{4}}$

i) ${\frac {1}{12}}+{\frac {1}{4}}+{\frac {1}{18}}$

4.

a) ${\frac {1}{12}}+{\frac {1}{16}}+{\frac {7}{24}}+{\frac {1}{8}}$

b) ${\frac {1}{24}}+{\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{8}}$

c) ${\frac {1}{6}}+{\frac {7}{9}}+{\frac {1}{2}}+{\frac {1}{3}}$

d) ${\frac {1}{24}}+{\frac {5}{16}}+{\frac {1}{6}}+{\frac {1}{12}}$

e) ${\frac {1}{6}}+{\frac {3}{4}}+{\frac {1}{3}}+{\frac {1}{2}}$

f) ${\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{15}}+{\frac {1}{10}}$

g) ${\frac {1}{6}}+{\frac {2}{5}}+{\frac {7}{15}}+{\frac {3}{10}}$

h) ${\frac {1}{4}}+{\frac {1}{10}}+{\frac {2}{5}}+{\frac {1}{2}}$

i) ${\frac {5}{4}}+{\frac {1}{2}}+{\frac {1}{6}}+{\frac {4}{3}}$

Lösungen

1-2: ${\frac {5}{18}}$  ${\frac {7}{20}}$  ${\frac {7}{20}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {13}{12}}$  ${\frac {9}{28}}$  ${\frac {7}{20}}$  ${\frac {11}{18}}$  ${\frac {7}{20}}$  ${\frac {7}{20}}$  ${\frac {7}{20}}$  ${\frac {19}{24}}$  ${\frac {9}{28}}$  ${\frac {5}{12}}$  ${\frac {7}{18}}$  ${\frac {5}{18}}$  ${\frac {5}{18}}$  ${\frac {11}{30}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {5}{24}}$  ${\frac {9}{28}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {11}{12}}$  ${\frac {7}{20}}$  ${\frac {5}{18}}$  ${\frac {13}{24}}$  ${\frac {11}{18}}$  ${\frac {9}{28}}$  ${\frac {11}{24}}$  ${\frac {1}{6}}$  ${\frac {1}{6}}$  ${\frac {9}{28}}$  ${\frac {7}{20}}$  ${\frac {11}{12}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  3-4: ${\frac {5}{16}}$  ${\frac {27}{20}}$  ${\frac {5}{7}}$  ${\frac {3}{4}}$  ${\frac {5}{4}}$  ${\frac {4}{9}}$  ${\frac {1}{3}}$  ${\frac {2}{3}}$  ${\frac {11}{24}}$  ${\frac {9}{16}}$  ${\frac {17}{9}}$  ${\frac {9}{8}}$  ${\frac {16}{9}}$  ${\frac {29}{48}}$  ${\frac {21}{20}}$  ${\frac {4}{3}}$  ${\frac {5}{16}}$  ${\frac {29}{50}}$  ${\frac {17}{9}}$  ${\frac {9}{8}}$  ${\frac {13}{18}}$  ${\frac {13}{4}}$  ${\frac {4}{9}}$  ${\frac {15}{8}}$  ${\frac {31}{12}}$  ${\frac {3}{4}}$  ${\frac {17}{36}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$  ${\frac {9}{16}}$  ${\frac {4}{5}}$  ${\frac {9}{16}}$  ${\frac {7}{18}}$  ${\frac {11}{16}}$  ${\frac {3}{4}}$  ${\frac {7}{4}}$  ${\frac {13}{4}}$  ${\frac {23}{40}}$  ${\frac {37}{20}}$  ${\frac {13}{28}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{4}}+{\frac {1}{14}}$

b) ${\frac {1}{6}}+{\frac {1}{9}}$

c) ${\frac {1}{6}}+{\frac {1}{10}}$

d) ${\frac {1}{6}}+{\frac {1}{10}}$

e) ${\frac {3}{10}}+{\frac {1}{6}}$

f) ${\frac {1}{4}}+{\frac {1}{10}}$

g) ${\frac {1}{10}}+{\frac {1}{6}}$

h) ${\frac {1}{9}}+{\frac {1}{6}}$

2.

a) ${\frac {1}{6}}+{\frac {2}{15}}$

b) ${\frac {1}{8}}+{\frac {1}{12}}$

c) ${\frac {1}{6}}+{\frac {1}{9}}$

d) ${\frac {5}{6}}+{\frac {1}{4}}$

e) ${\frac {1}{10}}+{\frac {1}{15}}$

f) ${\frac {1}{6}}+{\frac {4}{9}}$

g) ${\frac {1}{8}}+{\frac {1}{6}}$

h) ${\frac {1}{6}}+{\frac {1}{9}}$

i) ${\frac {1}{8}}+{\frac {1}{6}}$

j) ${\frac {1}{6}}+{\frac {1}{4}}$

k) ${\frac {1}{6}}+{\frac {1}{4}}$

l) ${\frac {1}{4}}+{\frac {1}{6}}$

3.

a) ${\frac {1}{9}}+{\frac {1}{12}}+{\frac {1}{6}}$

b) ${\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{6}}$

c) ${\frac {1}{14}}+{\frac {3}{7}}+{\frac {1}{6}}$

d) ${\frac {3}{7}}+{\frac {1}{14}}+{\frac {1}{4}}$

e) ${\frac {7}{6}}+{\frac {5}{4}}+{\frac {1}{3}}$

f) ${\frac {1}{4}}+{\frac {7}{10}}+{\frac {3}{5}}$

g) ${\frac {3}{14}}+{\frac {1}{4}}+{\frac {2}{7}}$

h) ${\frac {1}{9}}+{\frac {7}{18}}+{\frac {1}{4}}$

i) ${\frac {1}{14}}+{\frac {10}{21}}+{\frac {3}{7}}$

4.

a) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{4}}+{\frac {1}{9}}$

b) ${\frac {5}{12}}+{\frac {1}{16}}+{\frac {5}{24}}+{\frac {1}{8}}$

c) ${\frac {1}{6}}+{\frac {5}{18}}+{\frac {1}{12}}+{\frac {1}{4}}$

d) ${\frac {5}{12}}+{\frac {7}{18}}+{\frac {1}{9}}+{\frac {1}{4}}$

e) ${\frac {1}{6}}+{\frac {1}{12}}+{\frac {7}{18}}+{\frac {1}{9}}$

f) ${\frac {1}{8}}+{\frac {5}{6}}+{\frac {1}{12}}+{\frac {1}{3}}$

g) ${\frac {1}{16}}+{\frac {1}{8}}+{\frac {1}{6}}+{\frac {5}{24}}$

h) ${\frac {1}{12}}+{\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{4}}$

i) ${\frac {1}{4}}+{\frac {7}{10}}+{\frac {2}{5}}+{\frac {1}{2}}$

Lösungen

1-2: ${\frac {11}{24}}$  ${\frac {5}{18}}$  ${\frac {7}{20}}$  ${\frac {19}{12}}$  ${\frac {5}{18}}$  ${\frac {4}{15}}$  ${\frac {13}{28}}$  ${\frac {4}{15}}$  ${\frac {7}{24}}$  ${\frac {11}{24}}$  ${\frac {5}{18}}$  ${\frac {13}{24}}$  ${\frac {5}{24}}$  ${\frac {5}{12}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {3}{10}}$  ${\frac {13}{12}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {11}{18}}$  ${\frac {5}{24}}$  ${\frac {4}{15}}$  ${\frac {3}{10}}$  ${\frac {1}{6}}$  ${\frac {9}{28}}$  ${\frac {7}{20}}$  ${\frac {1}{6}}$  ${\frac {7}{20}}$  ${\frac {11}{24}}$  ${\frac {7}{24}}$  ${\frac {7}{15}}$  ${\frac {3}{10}}$  ${\frac {13}{24}}$  ${\frac {5}{18}}$  ${\frac {9}{28}}$  ${\frac {5}{12}}$  ${\frac {5}{12}}$  ${\frac {11}{12}}$  ${\frac {5}{12}}$  3-4: ${\frac {13}{16}}$  ${\frac {3}{4}}$  ${\frac {25}{42}}$  ${\frac {2}{7}}$  ${\frac {7}{9}}$  ${\frac {3}{4}}$  ${\frac {7}{4}}$  ${\frac {11}{8}}$  ${\frac {7}{18}}$  ${\frac {7}{6}}$  ${\frac {3}{4}}$  ${\frac {13}{16}}$  ${\frac {1}{2}}$  ${\frac {17}{18}}$  ${\frac {21}{40}}$  ${\frac {17}{8}}$  ${\frac {9}{4}}$  ${\frac {31}{20}}$  ${\frac {13}{18}}$  ${\frac {16}{9}}$  ${\frac {5}{16}}$  ${\frac {5}{4}}$  ${\frac {3}{4}}$  ${\frac {37}{20}}$  ${\frac {13}{36}}$  ${\frac {11}{4}}$  ${\frac {3}{4}}$  ${\frac {19}{24}}$  ${\frac {25}{48}}$  ${\frac {41}{42}}$  ${\frac {2}{3}}$  ${\frac {2}{3}}$  ${\frac {7}{9}}$  ${\frac {8}{9}}$  ${\frac {11}{18}}$  ${\frac {9}{16}}$  ${\frac {7}{8}}$  ${\frac {9}{4}}$  ${\frac {5}{4}}$  ${\frac {5}{12}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {3}{8}}$

b) ${\frac {1}{10}}+{\frac {1}{6}}$

c) ${\frac {1}{8}}+{\frac {1}{6}}$

d) ${\frac {1}{4}}+{\frac {3}{10}}$

e) ${\frac {1}{4}}+{\frac {3}{10}}$

f) ${\frac {1}{6}}+{\frac {3}{8}}$

g) ${\frac {1}{6}}+{\frac {1}{9}}$

h) ${\frac {1}{6}}+{\frac {3}{10}}$

2.

a) ${\frac {1}{6}}+{\frac {3}{8}}$

b) ${\frac {1}{4}}+{\frac {3}{10}}$

c) ${\frac {5}{12}}+{\frac {1}{8}}$

d) ${\frac {1}{6}}+{\frac {1}{10}}$

e) ${\frac {1}{4}}+{\frac {3}{14}}$

f) ${\frac {1}{4}}+{\frac {3}{10}}$

g) ${\frac {1}{10}}+{\frac {1}{15}}$

h) ${\frac {1}{6}}+{\frac {1}{4}}$

i) ${\frac {1}{8}}+{\frac {5}{12}}$

j) ${\frac {1}{6}}+{\frac {3}{8}}$

k) ${\frac {1}{8}}+{\frac {1}{12}}$

l) ${\frac {1}{6}}+{\frac {1}{15}}$

3.

a) ${\frac {1}{6}}+{\frac {2}{3}}+{\frac {4}{15}}$

b) ${\frac {4}{21}}+{\frac {1}{6}}+{\frac {1}{14}}$

c) ${\frac {1}{4}}+{\frac {1}{14}}+{\frac {1}{7}}$

d) ${\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{6}}$

e) ${\frac {3}{10}}+{\frac {1}{2}}+{\frac {3}{4}}$

f) ${\frac {5}{18}}+{\frac {5}{12}}+{\frac {1}{4}}$

g) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {4}{9}}$

h) ${\frac {1}{16}}+{\frac {1}{6}}+{\frac {1}{12}}$

i) ${\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}$

4.

a) ${\frac {4}{21}}+{\frac {1}{6}}+{\frac {1}{14}}+{\frac {3}{7}}$

b) ${\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{12}}+{\frac {7}{18}}$

c) ${\frac {3}{10}}+{\frac {3}{20}}+{\frac {3}{8}}+{\frac {2}{5}}$

d) ${\frac {4}{3}}+{\frac {1}{4}}+{\frac {1}{2}}+{\frac {1}{6}}$

e) ${\frac {1}{21}}+{\frac {1}{6}}+{\frac {5}{14}}+{\frac {1}{7}}$

f) ${\frac {3}{20}}+{\frac {1}{8}}+{\frac {1}{5}}+{\frac {1}{10}}$

g) ${\frac {1}{12}}+{\frac {1}{4}}+{\frac {1}{9}}+{\frac {1}{6}}$

h) ${\frac {1}{24}}+{\frac {1}{12}}+{\frac {1}{8}}+{\frac {1}{16}}$

i) ${\frac {9}{10}}+{\frac {1}{4}}+{\frac {1}{2}}+{\frac {1}{5}}$

Lösungen

1-2: ${\frac {11}{18}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {13}{24}}$  ${\frac {3}{10}}$  ${\frac {3}{10}}$  ${\frac {5}{12}}$  ${\frac {11}{20}}$  ${\frac {11}{12}}$  ${\frac {5}{12}}$  ${\frac {13}{28}}$  ${\frac {13}{18}}$  ${\frac {11}{24}}$  ${\frac {13}{24}}$  ${\frac {13}{24}}$  ${\frac {11}{20}}$  ${\frac {13}{24}}$  ${\frac {4}{15}}$  ${\frac {1}{6}}$  ${\frac {9}{28}}$  ${\frac {13}{24}}$  ${\frac {4}{15}}$  ${\frac {7}{15}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  ${\frac {5}{24}}$  ${\frac {5}{24}}$  ${\frac {7}{24}}$  ${\frac {7}{20}}$  ${\frac {7}{24}}$  ${\frac {13}{24}}$  ${\frac {13}{24}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {11}{20}}$  ${\frac {11}{20}}$  ${\frac {7}{15}}$  ${\frac {13}{28}}$  ${\frac {4}{15}}$  ${\frac {7}{30}}$  3-4: ${\frac {5}{7}}$  ${\frac {5}{4}}$  ${\frac {7}{16}}$  ${\frac {11}{4}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$  ${\frac {23}{48}}$  ${\frac {23}{40}}$  ${\frac {3}{4}}$  ${\frac {6}{7}}$  ${\frac {9}{4}}$  ${\frac {11}{16}}$  ${\frac {49}{40}}$  ${\frac {23}{48}}$  ${\frac {41}{48}}$  ${\frac {5}{16}}$  ${\frac {19}{18}}$  ${\frac {17}{18}}$  ${\frac {4}{7}}$  ${\frac {5}{4}}$  ${\frac {13}{28}}$  ${\frac {13}{9}}$  ${\frac {11}{10}}$  ${\frac {1}{1}}$  ${\frac {3}{7}}$  ${\frac {5}{16}}$  ${\frac {7}{12}}$  ${\frac {5}{16}}$  ${\frac {1}{1}}$  ${\frac {9}{16}}$  ${\frac {31}{20}}$  ${\frac {3}{4}}$  ${\frac {7}{9}}$  ${\frac {13}{9}}$  ${\frac {7}{16}}$  ${\frac {11}{18}}$  ${\frac {37}{20}}$  ${\frac {17}{16}}$  ${\frac {11}{16}}$  ${\frac {7}{16}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{15}}+{\frac {1}{10}}$

b) ${\frac {3}{14}}+{\frac {1}{4}}$

c) ${\frac {1}{6}}+{\frac {5}{9}}$

d) ${\frac {1}{14}}+{\frac {1}{4}}$

e) ${\frac {2}{15}}+{\frac {1}{10}}$

f) ${\frac {1}{10}}+{\frac {1}{15}}$

g) ${\frac {1}{6}}+{\frac {3}{4}}$

h) ${\frac {1}{8}}+{\frac {1}{12}}$

2.

a) ${\frac {5}{6}}+{\frac {1}{4}}$

b) ${\frac {1}{15}}+{\frac {3}{10}}$

c) ${\frac {5}{6}}+{\frac {1}{4}}$

d) ${\frac {3}{4}}+{\frac {5}{6}}$

e) ${\frac {1}{12}}+{\frac {1}{8}}$

f) ${\frac {1}{4}}+{\frac {1}{10}}$

g) ${\frac {1}{8}}+{\frac {1}{6}}$

h) ${\frac {3}{10}}+{\frac {1}{4}}$

i) ${\frac {1}{4}}+{\frac {1}{10}}$

j) ${\frac {3}{14}}+{\frac {1}{4}}$

k) ${\frac {1}{6}}+{\frac {1}{9}}$

l) ${\frac {1}{6}}+{\frac {1}{9}}$

3.

a) ${\frac {1}{9}}+{\frac {1}{2}}+{\frac {5}{6}}$

b) ${\frac {2}{9}}+{\frac {1}{12}}+{\frac {1}{4}}$

c) ${\frac {4}{9}}+{\frac {1}{4}}+{\frac {1}{18}}$

d) ${\frac {1}{12}}+{\frac {1}{8}}+{\frac {1}{6}}$

e) ${\frac {1}{15}}+{\frac {1}{10}}+{\frac {1}{5}}$

f) ${\frac {1}{6}}+{\frac {3}{16}}+{\frac {1}{12}}$

g) ${\frac {1}{4}}+{\frac {1}{9}}+{\frac {7}{18}}$

h) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{16}}$

i) ${\frac {1}{3}}+{\frac {1}{6}}+{\frac {8}{9}}$

4.

a) ${\frac {1}{10}}+{\frac {1}{15}}+{\frac {1}{6}}+{\frac {1}{3}}$

b) ${\frac {1}{20}}+{\frac {1}{10}}+{\frac {1}{8}}+{\frac {1}{5}}$

c) ${\frac {3}{16}}+{\frac {1}{6}}+{\frac {1}{8}}+{\frac {1}{24}}$

d) ${\frac {5}{6}}+{\frac {3}{4}}+{\frac {5}{3}}+{\frac {1}{2}}$

e) ${\frac {1}{12}}+{\frac {3}{16}}+{\frac {5}{24}}+{\frac {1}{6}}$

f) ${\frac {8}{15}}+{\frac {2}{3}}+{\frac {1}{10}}+{\frac {1}{5}}$

g) ${\frac {1}{10}}+{\frac {1}{6}}+{\frac {8}{15}}+{\frac {1}{5}}$

h) ${\frac {1}{18}}+{\frac {1}{9}}+{\frac {1}{4}}+{\frac {1}{12}}$

i) ${\frac {1}{3}}+{\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{2}}$

Lösungen

1-2: ${\frac {7}{15}}$  ${\frac {1}{6}}$  ${\frac {7}{30}}$  ${\frac {9}{28}}$  ${\frac {17}{28}}$  ${\frac {7}{24}}$  ${\frac {7}{18}}$  ${\frac {9}{28}}$  ${\frac {5}{18}}$  ${\frac {5}{18}}$  ${\frac {13}{12}}$  ${\frac {11}{24}}$  ${\frac {11}{20}}$  ${\frac {11}{20}}$  ${\frac {13}{18}}$  ${\frac {13}{28}}$  ${\frac {5}{24}}$  ${\frac {19}{12}}$  ${\frac {5}{24}}$  ${\frac {11}{12}}$  ${\frac {7}{20}}$  ${\frac {13}{18}}$  ${\frac {1}{6}}$  ${\frac {4}{15}}$  ${\frac {7}{24}}$  ${\frac {7}{20}}$  ${\frac {3}{10}}$  ${\frac {3}{10}}$  ${\frac {1}{6}}$  ${\frac {11}{30}}$  ${\frac {5}{18}}$  ${\frac {11}{12}}$  ${\frac {13}{12}}$  ${\frac {13}{24}}$  ${\frac {13}{12}}$  ${\frac {13}{28}}$  ${\frac {5}{18}}$  ${\frac {13}{28}}$  ${\frac {11}{30}}$  ${\frac {5}{18}}$  3-4: ${\frac {2}{3}}$  ${\frac {11}{12}}$  ${\frac {2}{3}}$  ${\frac {17}{50}}$  ${\frac {19}{40}}$  ${\frac {5}{16}}$  ${\frac {3}{4}}$  ${\frac {1}{1}}$  ${\frac {5}{4}}$  ${\frac {25}{48}}$  ${\frac {31}{48}}$  ${\frac {17}{24}}$  ${\frac {15}{4}}$  ${\frac {13}{16}}$  ${\frac {19}{16}}$  ${\frac {3}{2}}$  ${\frac {2}{3}}$  ${\frac {25}{18}}$  ${\frac {22}{9}}$  ${\frac {5}{8}}$  ${\frac {5}{9}}$  ${\frac {1}{1}}$  ${\frac {3}{4}}$  ${\frac {13}{9}}$  ${\frac {13}{9}}$  ${\frac {11}{30}}$  ${\frac {7}{16}}$  ${\frac {8}{9}}$  ${\frac {5}{7}}$  ${\frac {3}{4}}$  ${\frac {3}{8}}$  ${\frac {41}{36}}$  ${\frac {29}{12}}$  ${\frac {11}{16}}$  ${\frac {3}{5}}$  ${\frac {9}{8}}$  ${\frac {1}{2}}$  ${\frac {17}{9}}$  ${\frac {5}{4}}$  ${\frac {7}{9}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {3}{10}}+{\frac {1}{4}}$

b) ${\frac {1}{4}}+{\frac {1}{14}}$

c) ${\frac {2}{15}}+{\frac {1}{6}}$

d) ${\frac {1}{6}}+{\frac {4}{9}}$

e) ${\frac {1}{12}}+{\frac {1}{8}}$

f) ${\frac {1}{12}}+{\frac {1}{8}}$

g) ${\frac {1}{6}}+{\frac {1}{9}}$

h) ${\frac {1}{4}}+{\frac {1}{6}}$

2.

a) ${\frac {3}{10}}+{\frac {1}{4}}$

b) ${\frac {2}{15}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {3}{8}}$

d) ${\frac {2}{9}}+{\frac {1}{6}}$

e) ${\frac {1}{6}}+{\frac {1}{10}}$

f) ${\frac {1}{10}}+{\frac {1}{6}}$

g) ${\frac {1}{6}}+{\frac {1}{4}}$

h) ${\frac {1}{4}}+{\frac {1}{6}}$

i) ${\frac {1}{6}}+{\frac {3}{4}}$

j) ${\frac {1}{6}}+{\frac {1}{4}}$

k) ${\frac {1}{8}}+{\frac {1}{6}}$

l) ${\frac {1}{15}}+{\frac {1}{10}}$

3.

a) ${\frac {2}{25}}+{\frac {1}{10}}+{\frac {2}{5}}$

b) ${\frac {1}{12}}+{\frac {1}{4}}+{\frac {5}{18}}$

c) ${\frac {3}{10}}+{\frac {1}{5}}+{\frac {9}{25}}$

d) ${\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{18}}$

e) ${\frac {1}{3}}+{\frac {1}{15}}+{\frac {1}{6}}$

f) ${\frac {1}{8}}+{\frac {1}{12}}+{\frac {3}{16}}$

g) ${\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{12}}$

h) ${\frac {1}{5}}+{\frac {4}{25}}+{\frac {1}{10}}$

i) ${\frac {1}{10}}+{\frac {1}{6}}+{\frac {2}{5}}$

4.

a) ${\frac {5}{24}}+{\frac {3}{16}}+{\frac {1}{6}}+{\frac {3}{8}}$

b) ${\frac {1}{12}}+{\frac {1}{8}}+{\frac {1}{16}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {1}{12}}+{\frac {1}{9}}+{\frac {1}{4}}$

d) ${\frac {3}{14}}+{\frac {1}{7}}+{\frac {1}{6}}+{\frac {1}{21}}$

e) ${\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{6}}+{\frac {3}{8}}$

f) ${\frac {1}{21}}+{\frac {1}{6}}+{\frac {1}{7}}+{\frac {1}{14}}$

g) ${\frac {1}{10}}+{\frac {1}{8}}+{\frac {1}{4}}+{\frac {2}{5}}$

h) ${\frac {1}{10}}+{\frac {1}{6}}+{\frac {1}{3}}+{\frac {2}{5}}$

i) ${\frac {5}{6}}+{\frac {5}{9}}+{\frac {1}{3}}+{\frac {1}{2}}$

Lösungen

1-2: ${\frac {9}{28}}$  ${\frac {5}{18}}$  ${\frac {5}{24}}$  ${\frac {5}{18}}$  ${\frac {11}{12}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {9}{28}}$  ${\frac {13}{28}}$  ${\frac {11}{12}}$  ${\frac {7}{18}}$  ${\frac {5}{18}}$  ${\frac {9}{28}}$  ${\frac {5}{12}}$  ${\frac {11}{20}}$  ${\frac {11}{12}}$  ${\frac {5}{12}}$  ${\frac {13}{24}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {11}{20}}$  ${\frac {5}{24}}$  ${\frac {9}{28}}$  ${\frac {4}{15}}$  ${\frac {1}{6}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {17}{28}}$  ${\frac {19}{12}}$  ${\frac {7}{24}}$  ${\frac {11}{18}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {3}{10}}$  ${\frac {3}{10}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {5}{12}}$  ${\frac {13}{24}}$  3-4: ${\frac {7}{8}}$  ${\frac {1}{4}}$  ${\frac {9}{4}}$  ${\frac {2}{3}}$  ${\frac {11}{16}}$  ${\frac {23}{50}}$  ${\frac {17}{30}}$  ${\frac {11}{18}}$  ${\frac {9}{4}}$  ${\frac {15}{16}}$  ${\frac {7}{16}}$  ${\frac {1}{1}}$  ${\frac {1}{1}}$  ${\frac {4}{3}}$  ${\frac {6}{7}}$  ${\frac {3}{7}}$  ${\frac {8}{9}}$  ${\frac {17}{36}}$  ${\frac {5}{6}}$  ${\frac {7}{16}}$  ${\frac {11}{18}}$  ${\frac {15}{16}}$  ${\frac {43}{50}}$  ${\frac {3}{5}}$  ${\frac {29}{50}}$  ${\frac {13}{36}}$  ${\frac {19}{48}}$  ${\frac {3}{4}}$  ${\frac {11}{9}}$  ${\frac {5}{6}}$  ${\frac {2}{3}}$  ${\frac {11}{24}}$  ${\frac {17}{30}}$  ${\frac {3}{4}}$  ${\frac {1}{3}}$  ${\frac {4}{7}}$  ${\frac {20}{9}}$  ${\frac {20}{9}}$  ${\frac {10}{9}}$  ${\frac {5}{8}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{8}}+{\frac {5}{12}}$

b) ${\frac {5}{9}}+{\frac {1}{6}}$

c) ${\frac {1}{10}}+{\frac {1}{15}}$

d) ${\frac {1}{10}}+{\frac {1}{6}}$

e) ${\frac {1}{6}}+{\frac {4}{9}}$

f) ${\frac {1}{4}}+{\frac {1}{6}}$

g) ${\frac {1}{8}}+{\frac {1}{12}}$

h) ${\frac {3}{10}}+{\frac {1}{6}}$

2.

a) ${\frac {1}{8}}+{\frac {1}{12}}$

b) ${\frac {1}{14}}+{\frac {1}{4}}$

c) ${\frac {1}{6}}+{\frac {2}{9}}$

d) ${\frac {1}{10}}+{\frac {1}{15}}$

e) ${\frac {3}{8}}+{\frac {1}{6}}$

f) ${\frac {1}{15}}+{\frac {1}{10}}$

g) ${\frac {3}{8}}+{\frac {1}{6}}$

h) ${\frac {1}{6}}+{\frac {1}{9}}$

i) ${\frac {1}{8}}+{\frac {1}{12}}$

j) ${\frac {1}{6}}+{\frac {3}{4}}$

k) ${\frac {5}{9}}+{\frac {1}{6}}$

l) ${\frac {1}{8}}+{\frac {1}{6}}$

3.

a) ${\frac {5}{24}}+{\frac {1}{6}}+{\frac {1}{16}}$

b) ${\frac {1}{18}}+{\frac {4}{9}}+{\frac {5}{12}}$

c) ${\frac {1}{6}}+{\frac {4}{21}}+{\frac {3}{7}}$

d) ${\frac {1}{3}}+{\frac {4}{15}}+{\frac {1}{10}}$

e) ${\frac {3}{10}}+{\frac {3}{4}}+{\frac {1}{5}}$

f) ${\frac {7}{24}}+{\frac {1}{16}}+{\frac {3}{8}}$

g) ${\frac {5}{12}}+{\frac {1}{4}}+{\frac {4}{9}}$

h) ${\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{6}}$

i) ${\frac {4}{9}}+{\frac {2}{15}}+{\frac {1}{5}}$

4.

a) ${\frac {1}{6}}+{\frac {1}{15}}+{\frac {1}{3}}+{\frac {1}{10}}$

b) ${\frac {5}{18}}+{\frac {1}{4}}+{\frac {5}{9}}+{\frac {1}{12}}$

c) ${\frac {1}{8}}+{\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{24}}$

d) ${\frac {1}{7}}+{\frac {1}{14}}+{\frac {1}{6}}+{\frac {4}{21}}$

e) ${\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{18}}+{\frac {1}{9}}$

f) ${\frac {1}{9}}+{\frac {1}{2}}+{\frac {1}{6}}+{\frac {1}{3}}$

g) ${\frac {1}{12}}+{\frac {1}{18}}+{\frac {1}{4}}+{\frac {1}{6}}$

h) ${\frac {5}{4}}+{\frac {1}{3}}+{\frac {1}{6}}+{\frac {1}{2}}$

i) ${\frac {1}{4}}+{\frac {1}{12}}+{\frac {7}{18}}+{\frac {1}{6}}$

Lösungen

1-2: ${\frac {7}{24}}$  ${\frac {13}{24}}$  ${\frac {5}{12}}$  ${\frac {7}{20}}$  ${\frac {11}{24}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {4}{15}}$  ${\frac {1}{6}}$  ${\frac {5}{12}}$  ${\frac {13}{24}}$  ${\frac {5}{18}}$  ${\frac {5}{18}}$  ${\frac {13}{18}}$  ${\frac {11}{18}}$  ${\frac {13}{24}}$  ${\frac {7}{15}}$  ${\frac {7}{18}}$  ${\frac {1}{6}}$  ${\frac {11}{12}}$  ${\frac {1}{6}}$  ${\frac {5}{24}}$  ${\frac {5}{24}}$  ${\frac {13}{18}}$  ${\frac {5}{18}}$  ${\frac {5}{24}}$  ${\frac {4}{15}}$  ${\frac {9}{28}}$  ${\frac {7}{18}}$  ${\frac {13}{24}}$  ${\frac {11}{12}}$  ${\frac {13}{18}}$  ${\frac {13}{18}}$  ${\frac {3}{10}}$  ${\frac {7}{15}}$  ${\frac {1}{6}}$  ${\frac {11}{18}}$  ${\frac {7}{18}}$  ${\frac {11}{12}}$  ${\frac {3}{10}}$  3-4: ${\frac {4}{7}}$  ${\frac {31}{20}}$  ${\frac {41}{28}}$  ${\frac {7}{8}}$  ${\frac {2}{3}}$  ${\frac {10}{9}}$  ${\frac {1}{2}}$  ${\frac {9}{4}}$  ${\frac {19}{18}}$  ${\frac {7}{12}}$  ${\frac {7}{6}}$  ${\frac {23}{48}}$  ${\frac {10}{9}}$  ${\frac {5}{9}}$  ${\frac {3}{4}}$  ${\frac {23}{18}}$  ${\frac {5}{16}}$  ${\frac {35}{48}}$  ${\frac {13}{10}}$  ${\frac {7}{6}}$  ${\frac {7}{16}}$  ${\frac {20}{9}}$  ${\frac {11}{14}}$  ${\frac {7}{16}}$  ${\frac {7}{10}}$  ${\frac {5}{4}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$  ${\frac {11}{9}}$  ${\frac {5}{4}}$  ${\frac {11}{12}}$  ${\frac {7}{9}}$  ${\frac {25}{24}}$  ${\frac {1}{1}}$  ${\frac {1}{1}}$  ${\frac {5}{16}}$  ${\frac {8}{9}}$  ${\frac {15}{16}}$  ${\frac {33}{40}}$  ${\frac {31}{20}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {2}{15}}+{\frac {1}{6}}$

b) ${\frac {1}{4}}+{\frac {1}{14}}$

c) ${\frac {3}{8}}+{\frac {1}{12}}$

d) ${\frac {1}{6}}+{\frac {2}{15}}$

e) ${\frac {1}{10}}+{\frac {1}{6}}$

f) ${\frac {1}{15}}+{\frac {1}{10}}$

g) ${\frac {1}{9}}+{\frac {1}{6}}$

h) ${\frac {1}{6}}+{\frac {1}{8}}$

2.

a) ${\frac {1}{9}}+{\frac {1}{6}}$

b) ${\frac {4}{15}}+{\frac {3}{10}}$

c) ${\frac {3}{4}}+{\frac {5}{6}}$

d) ${\frac {1}{6}}+{\frac {3}{10}}$

e) ${\frac {1}{4}}+{\frac {5}{6}}$

f) ${\frac {1}{4}}+{\frac {1}{10}}$

g) ${\frac {1}{9}}+{\frac {1}{6}}$

h) ${\frac {5}{14}}+{\frac {1}{4}}$

i) ${\frac {1}{10}}+{\frac {1}{6}}$

j) ${\frac {1}{6}}+{\frac {2}{15}}$

k) ${\frac {1}{6}}+{\frac {1}{4}}$

l) ${\frac {2}{15}}+{\frac {1}{6}}$

3.

a) ${\frac {2}{5}}+{\frac {1}{15}}+{\frac {1}{9}}$

b) ${\frac {1}{9}}+{\frac {1}{12}}+{\frac {1}{18}}$

c) ${\frac {3}{10}}+{\frac {1}{6}}+{\frac {1}{3}}$

d) ${\frac {3}{25}}+{\frac {1}{5}}+{\frac {1}{10}}$

e) ${\frac {1}{6}}+{\frac {3}{7}}+{\frac {1}{14}}$

f) ${\frac {9}{20}}+{\frac {1}{8}}+{\frac {3}{10}}$

g) ${\frac {1}{4}}+{\frac {1}{5}}+{\frac {3}{10}}$

h) ${\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{4}}$

i) ${\frac {1}{12}}+{\frac {1}{4}}+{\frac {5}{18}}$

4.

a) ${\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{9}}+{\frac {1}{6}}$

b) ${\frac {1}{12}}+{\frac {3}{8}}+{\frac {1}{6}}+{\frac {1}{3}}$

c) ${\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{2}}$

d) ${\frac {1}{9}}+{\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{4}}$

e) ${\frac {5}{16}}+{\frac {1}{12}}+{\frac {3}{8}}+{\frac {1}{24}}$

f) ${\frac {9}{20}}+{\frac {1}{4}}+{\frac {1}{8}}+{\frac {1}{5}}$

g) ${\frac {1}{6}}+{\frac {1}{10}}+{\frac {1}{15}}+{\frac {2}{3}}$

h) ${\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{15}}+{\frac {1}{10}}$

i) ${\frac {1}{5}}+{\frac {1}{2}}+{\frac {3}{10}}+{\frac {1}{4}}$

Lösungen

1-2: ${\frac {7}{20}}$  ${\frac {3}{10}}$  ${\frac {5}{18}}$  ${\frac {19}{24}}$  ${\frac {5}{12}}$  ${\frac {11}{24}}$  ${\frac {7}{30}}$  ${\frac {7}{24}}$  ${\frac {5}{12}}$  ${\frac {3}{10}}$  ${\frac {7}{15}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {17}{28}}$  ${\frac {4}{15}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {19}{12}}$  ${\frac {13}{12}}$  ${\frac {4}{15}}$  ${\frac {5}{18}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {17}{30}}$  ${\frac {7}{20}}$  ${\frac {3}{10}}$  ${\frac {4}{15}}$  ${\frac {7}{18}}$  ${\frac {7}{24}}$  ${\frac {5}{18}}$  ${\frac {3}{10}}$  ${\frac {11}{24}}$  ${\frac {1}{6}}$  ${\frac {3}{10}}$  ${\frac {4}{15}}$  ${\frac {9}{28}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  ${\frac {5}{18}}$  ${\frac {7}{20}}$  3-4: ${\frac {13}{16}}$  ${\frac {5}{16}}$  ${\frac {17}{20}}$  ${\frac {5}{4}}$  ${\frac {1}{2}}$  ${\frac {7}{8}}$  ${\frac {7}{18}}$  ${\frac {23}{24}}$  ${\frac {19}{50}}$  ${\frac {7}{12}}$  ${\frac {5}{4}}$  ${\frac {5}{4}}$  ${\frac {1}{1}}$  ${\frac {5}{4}}$  ${\frac {7}{4}}$  ${\frac {5}{4}}$  ${\frac {31}{18}}$  ${\frac {3}{4}}$  ${\frac {15}{16}}$  ${\frac {13}{18}}$  ${\frac {2}{3}}$  ${\frac {37}{20}}$  ${\frac {26}{45}}$  ${\frac {2}{3}}$  ${\frac {21}{50}}$  ${\frac {4}{5}}$  ${\frac {11}{18}}$  ${\frac {3}{4}}$  ${\frac {1}{1}}$  ${\frac {7}{4}}$  ${\frac {1}{4}}$  ${\frac {19}{12}}$  ${\frac {1}{2}}$  ${\frac {13}{8}}$  ${\frac {13}{28}}$  ${\frac {41}{40}}$  ${\frac {7}{6}}$  ${\frac {10}{9}}$  ${\frac {1}{2}}$  ${\frac {37}{18}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{6}}+{\frac {1}{15}}$

b) ${\frac {1}{9}}+{\frac {1}{6}}$

c) ${\frac {1}{4}}+{\frac {1}{14}}$

d) ${\frac {1}{10}}+{\frac {1}{6}}$

e) ${\frac {1}{6}}+{\frac {1}{4}}$

f) ${\frac {1}{6}}+{\frac {1}{8}}$

g) ${\frac {1}{6}}+{\frac {1}{10}}$

h) ${\frac {1}{6}}+{\frac {1}{9}}$

2.

a) ${\frac {1}{6}}+{\frac {1}{10}}$

b) ${\frac {1}{14}}+{\frac {1}{4}}$

c) ${\frac {1}{6}}+{\frac {1}{4}}$

d) ${\frac {1}{4}}+{\frac {1}{6}}$

e) ${\frac {1}{6}}+{\frac {4}{9}}$

f) ${\frac {1}{10}}+{\frac {1}{6}}$

g) ${\frac {1}{8}}+{\frac {1}{6}}$

h) ${\frac {5}{14}}+{\frac {1}{4}}$

i) ${\frac {1}{4}}+{\frac {5}{6}}$

j) ${\frac {1}{4}}+{\frac {1}{6}}$

k) ${\frac {1}{4}}+{\frac {5}{6}}$

l) ${\frac {1}{4}}+{\frac {1}{10}}$

3.

a) ${\frac {1}{4}}+{\frac {3}{7}}+{\frac {1}{14}}$

b) ${\frac {1}{14}}+{\frac {1}{7}}+{\frac {1}{4}}$

c) ${\frac {1}{24}}+{\frac {1}{16}}+{\frac {1}{12}}$

d) ${\frac {1}{6}}+{\frac {1}{12}}+{\frac {3}{8}}$

e) ${\frac {1}{12}}+{\frac {5}{18}}+{\frac {1}{4}}$

f) ${\frac {1}{6}}+{\frac {1}{9}}+{\frac {2}{3}}$

g) ${\frac {1}{10}}+{\frac {7}{15}}+{\frac {3}{5}}$

h) ${\frac {1}{8}}+{\frac {1}{6}}+{\frac {1}{4}}$

i) ${\frac {3}{20}}+{\frac {3}{8}}+{\frac {1}{10}}$

4.

a) ${\frac {1}{21}}+{\frac {5}{14}}+{\frac {3}{7}}+{\frac {1}{6}}$

b) ${\frac {1}{4}}+{\frac {1}{12}}+{\frac {1}{9}}+{\frac {1}{18}}$

c) ${\frac {1}{3}}+{\frac {5}{8}}+{\frac {1}{12}}+{\frac {5}{6}}$

d) ${\frac {1}{21}}+{\frac {1}{6}}+{\frac {1}{14}}+{\frac {2}{7}}$

e) ${\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{4}}+{\frac {4}{9}}$

f) ${\frac {5}{14}}+{\frac {1}{6}}+{\frac {3}{7}}+{\frac {1}{21}}$

g) ${\frac {5}{6}}+{\frac {1}{2}}+{\frac {3}{4}}+{\frac {5}{3}}$

h) ${\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}+{\frac {1}{2}}$

i) ${\frac {5}{12}}+{\frac {1}{6}}+{\frac {3}{8}}+{\frac {1}{3}}$

Lösungen

1-2: ${\frac {3}{10}}$  ${\frac {7}{30}}$  ${\frac {7}{24}}$  ${\frac {13}{12}}$  ${\frac {11}{12}}$  ${\frac {5}{18}}$  ${\frac {5}{18}}$  ${\frac {4}{15}}$  ${\frac {7}{24}}$  ${\frac {1}{6}}$  ${\frac {11}{18}}$  ${\frac {4}{15}}$  ${\frac {19}{24}}$  ${\frac {13}{12}}$  ${\frac {9}{28}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {5}{12}}$  ${\frac {4}{15}}$  ${\frac {13}{24}}$  ${\frac {5}{12}}$  ${\frac {7}{20}}$  ${\frac {5}{12}}$  ${\frac {7}{24}}$  ${\frac {17}{28}}$  ${\frac {13}{12}}$  ${\frac {7}{24}}$  ${\frac {11}{24}}$  ${\frac {1}{6}}$  ${\frac {5}{18}}$  ${\frac {5}{12}}$  ${\frac {4}{15}}$  ${\frac {13}{24}}$  ${\frac {9}{28}}$  ${\frac {9}{28}}$  ${\frac {5}{18}}$  ${\frac {19}{24}}$  ${\frac {7}{20}}$  ${\frac {11}{20}}$  ${\frac {5}{18}}$  3-4: ${\frac {15}{8}}$  ${\frac {21}{50}}$  ${\frac {11}{12}}$  ${\frac {3}{7}}$  ${\frac {1}{1}}$  ${\frac {7}{8}}$  ${\frac {17}{18}}$  ${\frac {5}{6}}$  ${\frac {23}{18}}$  ${\frac {1}{2}}$  ${\frac {4}{7}}$  ${\frac {9}{4}}$  ${\frac {1}{1}}$  ${\frac {5}{4}}$  ${\frac {7}{6}}$  ${\frac {31}{24}}$  ${\frac {5}{8}}$  ${\frac {17}{18}}$  ${\frac {4}{7}}$  ${\frac {17}{8}}$  ${\frac {5}{8}}$  ${\frac {37}{20}}$  ${\frac {3}{4}}$  ${\frac {3}{5}}$  ${\frac {13}{28}}$  ${\frac {3}{16}}$  ${\frac {13}{24}}$  ${\frac {5}{6}}$  ${\frac {26}{9}}$  ${\frac {7}{6}}$  ${\frac {11}{18}}$  ${\frac {3}{4}}$  ${\frac {25}{18}}$  ${\frac {1}{2}}$  ${\frac {7}{8}}$  ${\frac {37}{40}}$  ${\frac {15}{4}}$  ${\frac {11}{16}}$  ${\frac {4}{7}}$  ${\frac {1}{1}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {1}{4}}+{\frac {1}{10}}$

b) ${\frac {3}{14}}+{\frac {1}{4}}$

c) ${\frac {1}{12}}+{\frac {1}{8}}$

d) ${\frac {1}{6}}+{\frac {1}{9}}$

e) ${\frac {5}{6}}+{\frac {1}{4}}$

f) ${\frac {1}{4}}+{\frac {5}{6}}$

g) ${\frac {1}{10}}+{\frac {1}{4}}$

h) ${\frac {5}{9}}+{\frac {1}{6}}$

2.

a) ${\frac {1}{4}}+{\frac {1}{14}}$

b) ${\frac {1}{8}}+{\frac {1}{6}}$

c) ${\frac {1}{6}}+{\frac {4}{9}}$

d) ${\frac {1}{6}}+{\frac {1}{4}}$

e) ${\frac {1}{8}}+{\frac {1}{6}}$

f) ${\frac {1}{6}}+{\frac {1}{4}}$

g) ${\frac {1}{8}}+{\frac {1}{12}}$

h) ${\frac {1}{6}}+{\frac {1}{9}}$

i) ${\frac {1}{4}}+{\frac {5}{6}}$

j) ${\frac {1}{6}}+{\frac {1}{4}}$

k) ${\frac {3}{8}}+{\frac {1}{6}}$

l) ${\frac {1}{4}}+{\frac {1}{6}}$

3.

a) ${\frac {1}{6}}+{\frac {1}{3}}+{\frac {3}{10}}$

b) ${\frac {5}{6}}+{\frac {1}{4}}+{\frac {5}{3}}$

c) ${\frac {1}{10}}+{\frac {1}{6}}+{\frac {1}{15}}$

d) ${\frac {1}{4}}+{\frac {3}{14}}+{\frac {2}{7}}$

e) ${\frac {1}{9}}+{\frac {1}{3}}+{\frac {1}{6}}$

f) ${\frac {1}{10}}+{\frac {1}{25}}+{\frac {1}{5}}$

g) ${\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{6}}$

h) ${\frac {1}{7}}+{\frac {5}{14}}+{\frac {1}{4}}$

i) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{16}}$

4.

a) ${\frac {5}{9}}+{\frac {1}{6}}+{\frac {2}{3}}+{\frac {1}{2}}$

b) ${\frac {1}{3}}+{\frac {3}{8}}+{\frac {1}{12}}+{\frac {5}{6}}$

c) ${\frac {1}{6}}+{\frac {5}{12}}+{\frac {1}{9}}+{\frac {1}{18}}$

d) ${\frac {1}{2}}+{\frac {1}{9}}+{\frac {1}{3}}+{\frac {1}{6}}$

e) ${\frac {1}{6}}+{\frac {1}{10}}+{\frac {8}{15}}+{\frac {1}{5}}$

f) ${\frac {1}{16}}+{\frac {1}{24}}+{\frac {1}{12}}+{\frac {3}{8}}$

g) ${\frac {2}{9}}+{\frac {5}{6}}+{\frac {1}{2}}+{\frac {1}{3}}$

h) ${\frac {5}{18}}+{\frac {5}{12}}+{\frac {1}{4}}+{\frac {1}{6}}$

i) ${\frac {5}{16}}+{\frac {1}{24}}+{\frac {1}{12}}+{\frac {1}{8}}$

Lösungen

1-2: ${\frac {13}{24}}$  ${\frac {7}{20}}$  ${\frac {5}{24}}$  ${\frac {3}{10}}$  ${\frac {11}{12}}$  ${\frac {4}{15}}$  ${\frac {19}{12}}$  ${\frac {13}{12}}$  ${\frac {11}{12}}$  ${\frac {11}{12}}$  ${\frac {5}{12}}$  ${\frac {13}{24}}$  ${\frac {5}{18}}$  ${\frac {5}{24}}$  ${\frac {5}{18}}$  ${\frac {5}{18}}$  ${\frac {9}{28}}$  ${\frac {11}{18}}$  ${\frac {5}{12}}$  ${\frac {11}{24}}$  ${\frac {7}{24}}$  ${\frac {13}{18}}$  ${\frac {13}{12}}$  ${\frac {3}{10}}$  ${\frac {5}{12}}$  ${\frac {7}{20}}$  ${\frac {13}{24}}$  ${\frac {7}{24}}$  ${\frac {4}{15}}$  ${\frac {5}{12}}$  ${\frac {13}{12}}$  ${\frac {7}{20}}$  ${\frac {7}{24}}$  ${\frac {5}{12}}$  ${\frac {7}{18}}$  ${\frac {13}{28}}$  ${\frac {5}{12}}$  ${\frac {5}{24}}$  ${\frac {13}{18}}$  ${\frac {5}{12}}$  3-4: ${\frac {17}{9}}$  ${\frac {13}{8}}$  ${\frac {9}{16}}$  ${\frac {11}{18}}$  ${\frac {17}{9}}$  ${\frac {5}{16}}$  ${\frac {3}{8}}$  ${\frac {10}{9}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$  ${\frac {13}{8}}$  ${\frac {5}{7}}$  ${\frac {10}{9}}$  ${\frac {9}{16}}$  ${\frac {1}{1}}$  ${\frac {9}{16}}$  ${\frac {17}{28}}$  ${\frac {3}{4}}$  ${\frac {13}{8}}$  ${\frac {11}{15}}$  ${\frac {4}{5}}$  ${\frac {5}{16}}$  ${\frac {11}{4}}$  ${\frac {5}{4}}$  ${\frac {1}{3}}$  ${\frac {3}{4}}$  ${\frac {11}{18}}$  ${\frac {3}{4}}$  ${\frac {11}{8}}$  ${\frac {5}{16}}$  ${\frac {17}{50}}$  ${\frac {3}{4}}$  ${\frac {3}{16}}$  ${\frac {4}{3}}$  ${\frac {3}{4}}$  ${\frac {1}{1}}$  ${\frac {5}{4}}$  ${\frac {15}{16}}$  ${\frac {3}{4}}$  ${\frac {2}{5}}$