Mathematikunterricht/ Sek/ Brüche/ Ü/ Sub2-3 NennerDa 50max A4 1

Übungsbeispiele zur Addition und Subtraktion mit jeweils 2 bis 3 Brüchen.

Berechne und kürze wenn möglich.

1.

a) ${\frac {3}{2}}+{\frac {3}{8}}$

b) ${\frac {17}{10}}+{\frac {4}{5}}$

c) ${\frac {17}{20}}+{\frac {2}{5}}$

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

e) ${\frac {4}{7}}-{\frac {5}{28}}$

f) ${\frac {3}{5}}+{\frac {13}{20}}$

g) ${\frac {10}{9}}-{\frac {1}{3}}$

h) ${\frac {5}{4}}+{\frac {9}{2}}$

2.

a) ${\frac {5}{16}}+{\frac {1}{4}}$

b) ${\frac {11}{24}}+{\frac {1}{4}}$

c) ${\frac {11}{4}}-{\frac {5}{2}}$

d) ${\frac {3}{16}}+{\frac {1}{4}}$

e) ${\frac {1}{3}}+{\frac {5}{18}}$

f) ${\frac {3}{8}}-{\frac {1}{4}}$

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

h) ${\frac {1}{9}}+{\frac {4}{3}}$

i) ${\frac {20}{8}}-{\frac {5}{4}}$

j) ${\frac {5}{3}}-{\frac {5}{12}}$

k) ${\frac {5}{6}}+{\frac {18}{18}}$

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

3.

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

b) ${\frac {3}{2}}+{\frac {17}{10}}-{\frac {1}{5}}$

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

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

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

f) ${\frac {5}{12}}+{\frac {1}{3}}+{\frac {1}{2}}$

g) ${\frac {5}{3}}-{\frac {1}{3}}-{\frac {1}{9}}$

h) ${\frac {20}{9}}-{\frac {2}{9}}-{\frac {1}{3}}$

i) ${\frac {10}{3}}-{\frac {5}{6}}+{\frac {3}{2}}$

4.

a) ${\frac {7}{5}}+{\frac {3}{2}}+{\frac {11}{10}}$

b) ${\frac {5}{2}}+{\frac {5}{4}}-{\frac {15}{8}}$

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

d) ${\frac {7}{30}}+{\frac {2}{3}}+{\frac {1}{10}}$

e) ${\frac {7}{12}}-{\frac {1}{4}}+{\frac {2}{3}}$

f) ${\frac {1}{5}}+{\frac {19}{30}}-{\frac {1}{6}}$

g) ${\frac {5}{8}}-{\frac {17}{24}}+{\frac {3}{4}}$

h) ${\frac {1}{2}}+{\frac {17}{8}}+{\frac {1}{4}}$

i) ${\frac {5}{3}}-{\frac {3}{4}}+{\frac {13}{12}}$

Lösungen

1-2: ${\frac {5}{4}}$  ${\frac {5}{4}}$  ${\frac {7}{9}}$  ${\frac {1}{3}}$  ${\frac {1}{6}}$  ${\frac {1}{16}}$  ${\frac {4}{3}}$  ${\frac {17}{24}}$  ${\frac {8}{25}}$  ${\frac {7}{4}}$  ${\frac {5}{4}}$  ${\frac {5}{3}}$  ${\frac {4}{9}}$  ${\frac {5}{3}}$  ${\frac {13}{4}}$  ${\frac {13}{9}}$  ${\frac {5}{2}}$  ${\frac {11}{18}}$  ${\frac {7}{16}}$  ${\frac {3}{4}}$  ${\frac {1}{4}}$  ${\frac {9}{16}}$  ${\frac {5}{4}}$  ${\frac {2}{9}}$  ${\frac {1}{8}}$  ${\frac {5}{4}}$  ${\frac {1}{4}}$  ${\frac {2}{3}}$  ${\frac {17}{4}}$  ${\frac {23}{4}}$  ${\frac {4}{3}}$  ${\frac {11}{28}}$  ${\frac {32}{9}}$  ${\frac {6}{7}}$  ${\frac {2}{5}}$  ${\frac {15}{8}}$  ${\frac {11}{6}}$  ${\frac {1}{8}}$  ${\frac {3}{5}}$  ${\frac {3}{2}}$  3-4: ${\frac {2}{3}}$  $3$  $2$  $1$  $1$  $2$  $1$  ${\frac {5}{4}}$  $4$  $2$  $1$  $1$  ${\frac {3}{4}}$  ${\frac {2}{3}}$  $1$  $2$  $4$  $1$  ${\frac {15}{8}}$  ${\frac {5}{4}}$  $1$  $4$  ${\frac {5}{3}}$  ${\frac {2}{3}}$  ${\frac {2}{3}}$  ${\frac {2}{3}}$  $4$  ${\frac {8}{9}}$  $3$  ${\frac {11}{9}}$  ${\frac {5}{2}}$  ${\frac {2}{3}}$  ${\frac {21}{16}}$  $4$  ${\frac {3}{4}}$  $3$  ${\frac {15}{8}}$  ${\frac {23}{8}}$  $1$  ${\frac {7}{9}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {13}{9}}-{\frac {4}{3}}$

b) ${\frac {1}{2}}-{\frac {1}{10}}$

c) ${\frac {2}{3}}-{\frac {7}{18}}$

d) ${\frac {1}{3}}-{\frac {3}{18}}$

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

f) ${\frac {13}{10}}-{\frac {1}{2}}$

g) ${\frac {16}{9}}-{\frac {2}{3}}$

h) ${\frac {2}{3}}+{\frac {11}{9}}$

2.

a) ${\frac {19}{9}}+{\frac {5}{3}}$

b) ${\frac {17}{16}}+{\frac {1}{4}}$

c) ${\frac {15}{28}}-{\frac {1}{4}}$

d) ${\frac {1}{3}}-{\frac {5}{18}}$

e) ${\frac {4}{3}}-{\frac {7}{12}}$

f) ${\frac {4}{5}}+{\frac {7}{25}}$

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

h) ${\frac {3}{2}}-{\frac {13}{10}}$

i) ${\frac {19}{20}}-{\frac {1}{5}}$

j) ${\frac {3}{4}}-{\frac {1}{2}}$

k) ${\frac {2}{3}}-{\frac {5}{12}}$

l) ${\frac {13}{16}}+{\frac {5}{4}}$

3.

a) ${\frac {16}{9}}-{\frac {4}{3}}+{\frac {5}{9}}$

b) ${\frac {10}{21}}-{\frac {2}{3}}+{\frac {1}{3}}$

c) ${\frac {1}{3}}-{\frac {17}{18}}+{\frac {5}{6}}$

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

e) ${\frac {20}{9}}+{\frac {1}{3}}-{\frac {2}{3}}$

f) ${\frac {3}{5}}-{\frac {17}{25}}+{\frac {3}{5}}$

g) ${\frac {19}{10}}+{\frac {3}{2}}+{\frac {3}{5}}$

h) ${\frac {11}{18}}+{\frac {1}{6}}+{\frac {1}{3}}$

i) ${\frac {5}{4}}-{\frac {17}{12}}+{\frac {1}{2}}$

4.

a) ${\frac {1}{2}}-{\frac {1}{24}}+{\frac {2}{3}}$

b) ${\frac {2}{7}}+{\frac {20}{28}}+{\frac {1}{4}}$

c) ${\frac {5}{9}}+{\frac {2}{3}}+{\frac {5}{3}}$

d) ${\frac {5}{12}}-{\frac {1}{6}}+{\frac {1}{3}}$

e) ${\frac {19}{16}}+{\frac {1}{4}}+{\frac {1}{2}}$

f) ${\frac {1}{2}}-{\frac {1}{4}}+{\frac {13}{8}}$

g) ${\frac {17}{21}}-{\frac {1}{3}}+{\frac {6}{7}}$

h) ${\frac {1}{3}}-{\frac {13}{12}}+{\frac {3}{2}}$

i) ${\frac {8}{9}}-{\frac {7}{18}}-{\frac {1}{6}}$

Lösungen

1-2: ${\frac {9}{5}}$  ${\frac {1}{9}}$  ${\frac {17}{9}}$  ${\frac {9}{4}}$  ${\frac {2}{3}}$  ${\frac {1}{4}}$  ${\frac {4}{3}}$  $1$  ${\frac {8}{3}}$  ${\frac {12}{5}}$  ${\frac {1}{18}}$  ${\frac {17}{3}}$  ${\frac {31}{15}}$  ${\frac {3}{4}}$  ${\frac {5}{18}}$  ${\frac {1}{5}}$  ${\frac {4}{5}}$  ${\frac {2}{7}}$  ${\frac {3}{4}}$  ${\frac {1}{4}}$  ${\frac {27}{25}}$  ${\frac {1}{4}}$  ${\frac {34}{9}}$  ${\frac {1}{4}}$  ${\frac {3}{2}}$  ${\frac {1}{4}}$  ${\frac {7}{4}}$  ${\frac {2}{5}}$  ${\frac {11}{16}}$  ${\frac {21}{16}}$  ${\frac {33}{16}}$  ${\frac {1}{6}}$  ${\frac {21}{8}}$  ${\frac {2}{5}}$  ${\frac {10}{9}}$  ${\frac {2}{5}}$  ${\frac {2}{3}}$  ${\frac {1}{4}}$  ${\frac {17}{8}}$  ${\frac {7}{8}}$  3-4: $2$  $1$  $4$  ${\frac {3}{8}}$  ${\frac {17}{8}}$  $4$  ${\frac {20}{9}}$  $1$  $2$  ${\frac {9}{8}}$  ${\frac {4}{3}}$  $1$  ${\frac {5}{4}}$  ${\frac {3}{4}}$  ${\frac {2}{9}}$  ${\frac {15}{8}}$  ${\frac {10}{9}}$  ${\frac {26}{9}}$  ${\frac {7}{12}}$  ${\frac {1}{5}}$  ${\frac {5}{4}}$  ${\frac {7}{2}}$  ${\frac {17}{9}}$  ${\frac {1}{3}}$  ${\frac {31}{16}}$  ${\frac {1}{3}}$  ${\frac {9}{4}}$  ${\frac {13}{7}}$  $2$  ${\frac {7}{8}}$  $2$  ${\frac {13}{25}}$  ${\frac {31}{9}}$  $5$  $2$  ${\frac {1}{7}}$  $3$  ${\frac {3}{2}}$  ${\frac {4}{3}}$  ${\frac {9}{5}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {5}{14}}+{\frac {1}{2}}$

b) ${\frac {3}{2}}-{\frac {1}{4}}$

c) ${\frac {12}{10}}-{\frac {1}{5}}$

d) ${\frac {5}{4}}-{\frac {7}{8}}$

e) ${\frac {9}{4}}-{\frac {3}{2}}$

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

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

h) ${\frac {17}{30}}+{\frac {3}{10}}$

2.

a) ${\frac {2}{3}}-{\frac {6}{18}}$

b) ${\frac {1}{2}}+{\frac {9}{16}}$

c) ${\frac {1}{2}}+{\frac {11}{6}}$

d) ${\frac {8}{24}}+{\frac {1}{4}}$

e) ${\frac {4}{3}}-{\frac {7}{12}}$

f) ${\frac {12}{9}}-{\frac {2}{3}}$

g) ${\frac {15}{4}}+{\frac {1}{2}}$

h) ${\frac {8}{25}}+{\frac {3}{5}}$

i) ${\frac {1}{3}}+{\frac {4}{15}}$

j) ${\frac {7}{10}}+{\frac {2}{5}}$

k) ${\frac {9}{7}}+{\frac {10}{14}}$

l) ${\frac {5}{2}}+{\frac {11}{4}}$

3.

a) ${\frac {3}{2}}+{\frac {8}{3}}+{\frac {2}{6}}$

b) ${\frac {5}{4}}+{\frac {13}{8}}-{\frac {3}{2}}$

c) ${\frac {14}{9}}-{\frac {1}{3}}-{\frac {2}{3}}$

d) ${\frac {15}{8}}+{\frac {5}{8}}+{\frac {1}{2}}$

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

f) ${\frac {5}{4}}+{\frac {19}{12}}+{\frac {1}{6}}$

g) ${\frac {9}{2}}+{\frac {15}{4}}+{\frac {7}{4}}$

h) ${\frac {3}{5}}+{\frac {13}{20}}-{\frac {1}{4}}$

i) ${\frac {5}{2}}-{\frac {5}{4}}+{\frac {4}{8}}$

4.

a) ${\frac {5}{4}}+{\frac {9}{2}}-{\frac {19}{4}}$

b) ${\frac {3}{4}}-{\frac {1}{4}}+{\frac {5}{8}}$

c) ${\frac {4}{7}}-{\frac {1}{2}}+{\frac {5}{28}}$

d) ${\frac {1}{3}}-{\frac {2}{3}}+{\frac {17}{15}}$

e) ${\frac {17}{18}}+{\frac {1}{2}}+{\frac {5}{9}}$

f) ${\frac {19}{25}}-{\frac {3}{5}}+{\frac {1}{5}}$

g) ${\frac {19}{10}}-{\frac {1}{2}}+{\frac {3}{5}}$

h) ${\frac {3}{4}}+{\frac {5}{8}}+{\frac {3}{2}}$

i) ${\frac {4}{3}}+{\frac {4}{3}}-{\frac {16}{15}}$

Lösungen

1-2: ${\frac {17}{16}}$  ${\frac {6}{7}}$  ${\frac {3}{4}}$  ${\frac {5}{2}}$  ${\frac {5}{9}}$  ${\frac {21}{4}}$  ${\frac {7}{4}}$  ${\frac {3}{8}}$  ${\frac {1}{3}}$  ${\frac {17}{16}}$  ${\frac {7}{12}}$  ${\frac {25}{16}}$  ${\frac {3}{2}}$  ${\frac {3}{4}}$  $1$  ${\frac {23}{25}}$  ${\frac {6}{5}}$  ${\frac {7}{3}}$  ${\frac {2}{3}}$  ${\frac {7}{3}}$  ${\frac {17}{4}}$  ${\frac {1}{3}}$  ${\frac {13}{15}}$  ${\frac {5}{2}}$  ${\frac {11}{10}}$  ${\frac {3}{5}}$  ${\frac {7}{4}}$  ${\frac {2}{5}}$  ${\frac {1}{4}}$  ${\frac {5}{4}}$  ${\frac {11}{4}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$  ${\frac {4}{7}}$  ${\frac {14}{9}}$  ${\frac {5}{4}}$  $2$  ${\frac {1}{2}}$  ${\frac {5}{2}}$  ${\frac {1}{2}}$  3-4: ${\frac {15}{16}}$  ${\frac {9}{2}}$  $3$  $1$  ${\frac {11}{8}}$  ${\frac {5}{6}}$  ${\frac {19}{8}}$  $1$  ${\frac {1}{2}}$  $1$  ${\frac {4}{5}}$  $2$  ${\frac {4}{3}}$  ${\frac {23}{8}}$  ${\frac {5}{9}}$  $3$  ${\frac {7}{4}}$  ${\frac {9}{8}}$  ${\frac {1}{4}}$  $4$  ${\frac {9}{25}}$  $10$  $1$  ${\frac {15}{8}}$  $2$  $2$  ${\frac {11}{25}}$  $3$  ${\frac {8}{3}}$  $1$  ${\frac {8}{5}}$  $3$  ${\frac {39}{16}}$  ${\frac {5}{8}}$  $1$  ${\frac {11}{8}}$  ${\frac {5}{2}}$  ${\frac {4}{3}}$  $4$  ${\frac {21}{8}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {9}{4}}-{\frac {3}{2}}$

b) ${\frac {9}{4}}+{\frac {5}{2}}$

c) ${\frac {3}{4}}+{\frac {15}{8}}$

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

e) ${\frac {7}{10}}+{\frac {9}{5}}$

f) ${\frac {13}{21}}+{\frac {2}{3}}$

g) ${\frac {1}{4}}-{\frac {5}{24}}$

h) ${\frac {2}{5}}+{\frac {17}{20}}$

2.

a) ${\frac {13}{24}}-{\frac {3}{8}}$

b) ${\frac {3}{2}}-{\frac {1}{12}}$

c) ${\frac {10}{9}}-{\frac {1}{3}}$

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

e) ${\frac {11}{8}}-{\frac {1}{2}}$

f) ${\frac {7}{12}}-{\frac {1}{4}}$

g) ${\frac {9}{2}}-{\frac {9}{4}}$

h) ${\frac {13}{18}}-{\frac {1}{6}}$

i) ${\frac {4}{5}}+{\frac {8}{15}}$

j) ${\frac {11}{14}}-{\frac {1}{2}}$

k) ${\frac {17}{9}}+{\frac {1}{3}}$

l) ${\frac {17}{12}}-{\frac {1}{2}}$

3.

a) ${\frac {3}{4}}+{\frac {7}{12}}-{\frac {1}{3}}$

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

c) ${\frac {19}{18}}+{\frac {2}{3}}+{\frac {5}{6}}$

d) ${\frac {5}{16}}+{\frac {3}{4}}-{\frac {1}{8}}$

e) ${\frac {3}{25}}+{\frac {1}{5}}+{\frac {1}{5}}$

f) ${\frac {13}{15}}-{\frac {1}{3}}+{\frac {2}{3}}$

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

h) ${\frac {9}{4}}+{\frac {13}{8}}-{\frac {1}{4}}$

i) ${\frac {13}{15}}-{\frac {4}{5}}+{\frac {4}{3}}$

4.

a) ${\frac {3}{2}}-{\frac {3}{8}}+{\frac {1}{4}}$

b) ${\frac {1}{2}}-{\frac {7}{28}}+{\frac {1}{4}}$

c) ${\frac {3}{2}}-{\frac {1}{6}}+{\frac {8}{3}}$

d) ${\frac {2}{3}}-{\frac {7}{15}}+{\frac {4}{5}}$

e) ${\frac {6}{8}}+{\frac {3}{2}}-{\frac {3}{2}}$

f) ${\frac {1}{3}}+{\frac {19}{24}}-{\frac {1}{4}}$

g) ${\frac {7}{5}}-{\frac {9}{10}}+{\frac {1}{2}}$

h) ${\frac {1}{4}}+{\frac {13}{12}}-{\frac {1}{3}}$

i) ${\frac {1}{4}}+{\frac {4}{5}}-{\frac {1}{20}}$

Lösungen

1-2: ${\frac {11}{12}}$  ${\frac {19}{4}}$  ${\frac {9}{7}}$  $2$  ${\frac {7}{4}}$  ${\frac {1}{18}}$  ${\frac {11}{9}}$  ${\frac {3}{4}}$  ${\frac {4}{3}}$  $1$  ${\frac {7}{8}}$  ${\frac {1}{4}}$  ${\frac {7}{8}}$  ${\frac {20}{9}}$  ${\frac {13}{4}}$  ${\frac {5}{4}}$  ${\frac {1}{3}}$  ${\frac {1}{3}}$  ${\frac {5}{4}}$  ${\frac {1}{9}}$  ${\frac {5}{9}}$  ${\frac {5}{4}}$  ${\frac {5}{2}}$  ${\frac {2}{5}}$  ${\frac {7}{9}}$  ${\frac {3}{2}}$  ${\frac {2}{3}}$  ${\frac {25}{8}}$  ${\frac {3}{2}}$  ${\frac {17}{12}}$  ${\frac {9}{4}}$  ${\frac {1}{24}}$  ${\frac {23}{8}}$  ${\frac {7}{9}}$  ${\frac {1}{6}}$  ${\frac {21}{8}}$  ${\frac {4}{3}}$  ${\frac {2}{7}}$  ${\frac {7}{5}}$  ${\frac {17}{18}}$  3-4: $1$  $1$  ${\frac {23}{9}}$  ${\frac {3}{5}}$  $1$  ${\frac {1}{2}}$  $1$  ${\frac {15}{16}}$  $1$  ${\frac {8}{7}}$  $1$  ${\frac {5}{4}}$  ${\frac {1}{7}}$  ${\frac {1}{2}}$  $2$  $1$  ${\frac {29}{8}}$  ${\frac {3}{4}}$  $1$  ${\frac {11}{6}}$  ${\frac {7}{8}}$  ${\frac {7}{5}}$  ${\frac {13}{25}}$  ${\frac {8}{5}}$  $1$  $1$  $6$  ${\frac {5}{9}}$  ${\frac {3}{4}}$  ${\frac {1}{2}}$  $2$  ${\frac {6}{5}}$  ${\frac {3}{16}}$  $1$  ${\frac {11}{8}}$  $1$  $4$  $4$  ${\frac {7}{4}}$  ${\frac {1}{16}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {13}{15}}+{\frac {4}{5}}$

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

c) ${\frac {9}{4}}+{\frac {5}{8}}$

d) ${\frac {1}{6}}+{\frac {11}{24}}$

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

f) ${\frac {13}{16}}-{\frac {1}{4}}$

g) ${\frac {3}{4}}-{\frac {1}{24}}$

h) ${\frac {1}{4}}-{\frac {1}{24}}$

2.

a) ${\frac {18}{21}}-{\frac {3}{7}}$

b) ${\frac {3}{5}}-{\frac {7}{20}}$

c) ${\frac {2}{5}}+{\frac {4}{15}}$

d) ${\frac {11}{8}}+{\frac {5}{2}}$

e) ${\frac {11}{18}}+{\frac {2}{3}}$

f) ${\frac {11}{15}}-{\frac {2}{5}}$

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

h) ${\frac {3}{4}}-{\frac {4}{8}}$

i) ${\frac {4}{3}}+{\frac {4}{9}}$

j) ${\frac {1}{6}}+{\frac {5}{2}}$

k) ${\frac {13}{9}}-{\frac {1}{3}}$

l) ${\frac {9}{8}}-{\frac {1}{2}}$

3.

a) ${\frac {1}{6}}-{\frac {1}{3}}+{\frac {11}{12}}$

b) ${\frac {3}{7}}+{\frac {9}{28}}+{\frac {1}{4}}$

c) ${\frac {10}{27}}-{\frac {4}{9}}+{\frac {2}{3}}$

d) ${\frac {1}{3}}-{\frac {11}{18}}+{\frac {1}{2}}$

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

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

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

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

i) ${\frac {5}{8}}+{\frac {3}{2}}+{\frac {5}{4}}$

4.

a) ${\frac {5}{2}}+{\frac {4}{3}}-{\frac {11}{6}}$

b) ${\frac {11}{12}}+{\frac {5}{3}}+{\frac {7}{6}}$

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

d) ${\frac {14}{16}}-{\frac {1}{2}}+{\frac {1}{8}}$

e) ${\frac {3}{2}}+{\frac {5}{12}}-{\frac {5}{3}}$

f) ${\frac {13}{9}}-{\frac {2}{3}}+{\frac {1}{3}}$

g) ${\frac {9}{10}}+{\frac {3}{2}}+{\frac {8}{5}}$

h) ${\frac {1}{4}}+{\frac {3}{7}}-{\frac {5}{28}}$

i) ${\frac {7}{4}}+{\frac {13}{8}}+{\frac {17}{8}}$

Lösungen

1-2: ${\frac {5}{4}}$  ${\frac {5}{8}}$  ${\frac {3}{7}}$  ${\frac {3}{16}}$  ${\frac {1}{6}}$  ${\frac {1}{5}}$  ${\frac {10}{9}}$  ${\frac {7}{2}}$  ${\frac {1}{8}}$  ${\frac {19}{16}}$  ${\frac {1}{4}}$  ${\frac {13}{4}}$  $2$  ${\frac {2}{3}}$  ${\frac {23}{8}}$  ${\frac {8}{3}}$  ${\frac {17}{24}}$  ${\frac {31}{8}}$  ${\frac {23}{18}}$  ${\frac {2}{5}}$  ${\frac {1}{3}}$  ${\frac {5}{24}}$  ${\frac {9}{16}}$  ${\frac {1}{3}}$  $3$  ${\frac {16}{9}}$  ${\frac {8}{5}}$  ${\frac {8}{3}}$  ${\frac {3}{5}}$  ${\frac {27}{16}}$  ${\frac {10}{9}}$  ${\frac {9}{5}}$  $2$  ${\frac {1}{4}}$  ${\frac {1}{4}}$  ${\frac {5}{3}}$  ${\frac {5}{8}}$  ${\frac {7}{3}}$  ${\frac {2}{9}}$  ${\frac {4}{3}}$  3-4: $2$  $1$  $1$  $1$  $1$  $3$  $1$  ${\frac {2}{9}}$  ${\frac {15}{16}}$  ${\frac {3}{8}}$  $3$  ${\frac {9}{4}}$  ${\frac {9}{7}}$  ${\frac {1}{2}}$  ${\frac {3}{4}}$  ${\frac {10}{9}}$  ${\frac {7}{8}}$  ${\frac {15}{4}}$  ${\frac {1}{2}}$  ${\frac {12}{5}}$  ${\frac {1}{4}}$  ${\frac {27}{8}}$  $2$  ${\frac {4}{3}}$  $4$  $2$  $3$  ${\frac {21}{4}}$  ${\frac {15}{8}}$  $3$  $1$  $1$  $2$  ${\frac {13}{16}}$  $2$  ${\frac {16}{27}}$  $1$  ${\frac {11}{2}}$  ${\frac {9}{16}}$  ${\frac {7}{9}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {5}{24}}+{\frac {4}{6}}$

b) ${\frac {18}{8}}+{\frac {7}{4}}$

c) ${\frac {13}{14}}-{\frac {2}{7}}$

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

e) ${\frac {11}{8}}-{\frac {1}{2}}$

f) ${\frac {13}{28}}+{\frac {2}{7}}$

g) ${\frac {11}{15}}-{\frac {2}{5}}$

h) ${\frac {1}{4}}-{\frac {3}{28}}$

2.

a) ${\frac {3}{4}}+{\frac {1}{16}}$

b) ${\frac {3}{2}}-{\frac {5}{4}}$

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

d) ${\frac {7}{10}}-{\frac {1}{2}}$

e) ${\frac {7}{8}}+{\frac {1}{2}}$

f) ${\frac {3}{16}}+{\frac {1}{2}}$

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

h) ${\frac {19}{9}}+{\frac {1}{3}}$

i) ${\frac {15}{8}}-{\frac {5}{4}}$

j) ${\frac {13}{16}}-{\frac {3}{4}}$

k) ${\frac {1}{3}}+{\frac {8}{9}}$

l) ${\frac {1}{2}}+{\frac {17}{10}}$

3.

a) ${\frac {8}{9}}-{\frac {8}{9}}+{\frac {4}{3}}$

b) ${\frac {1}{2}}+{\frac {6}{7}}-{\frac {5}{14}}$

c) ${\frac {3}{2}}+{\frac {4}{3}}+{\frac {5}{12}}$

d) ${\frac {1}{14}}-{\frac {1}{2}}+{\frac {8}{7}}$

e) ${\frac {1}{5}}-{\frac {9}{20}}+{\frac {3}{4}}$

f) ${\frac {1}{3}}+{\frac {6}{5}}-{\frac {8}{15}}$

g) ${\frac {8}{5}}+{\frac {19}{10}}+{\frac {1}{2}}$

h) ${\frac {13}{6}}+{\frac {3}{2}}-{\frac {8}{3}}$

i) ${\frac {3}{8}}+{\frac {3}{2}}+{\frac {5}{4}}$

4.

a) ${\frac {11}{6}}+{\frac {1}{2}}+{\frac {2}{3}}$

b) ${\frac {9}{4}}+{\frac {15}{8}}+{\frac {5}{2}}$

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

d) ${\frac {3}{2}}-{\frac {7}{5}}+{\frac {9}{10}}$

e) ${\frac {1}{2}}-{\frac {13}{18}}+{\frac {1}{3}}$

f) ${\frac {4}{21}}+{\frac {2}{3}}+{\frac {1}{7}}$

g) ${\frac {2}{3}}+{\frac {5}{3}}+{\frac {11}{9}}$

h) ${\frac {1}{3}}+{\frac {7}{6}}+{\frac {5}{2}}$

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

Lösungen

1-2: ${\frac {4}{5}}$  ${\frac {9}{14}}$  ${\frac {7}{8}}$  ${\frac {1}{3}}$  ${\frac {19}{14}}$  $2$  ${\frac {4}{3}}$  ${\frac {7}{8}}$  ${\frac {1}{2}}$  ${\frac {13}{16}}$  ${\frac {1}{5}}$  ${\frac {3}{16}}$  ${\frac {5}{27}}$  ${\frac {5}{8}}$  ${\frac {1}{3}}$  ${\frac {22}{9}}$  ${\frac {1}{7}}$  ${\frac {11}{8}}$  ${\frac {4}{5}}$  ${\frac {29}{25}}$  ${\frac {11}{16}}$  ${\frac {1}{4}}$  ${\frac {1}{3}}$  ${\frac {1}{3}}$  ${\frac {1}{16}}$  ${\frac {11}{4}}$  ${\frac {16}{9}}$  ${\frac {6}{5}}$  ${\frac {1}{3}}$  ${\frac {1}{2}}$  ${\frac {11}{9}}$  ${\frac {3}{4}}$  ${\frac {1}{4}}$  $2$  ${\frac {4}{9}}$  $4$  ${\frac {11}{5}}$  ${\frac {13}{9}}$  ${\frac {1}{3}}$  ${\frac {5}{3}}$  3-4: ${\frac {1}{4}}$  $1$  ${\frac {25}{8}}$  $3$  ${\frac {41}{24}}$  ${\frac {14}{9}}$  ${\frac {5}{4}}$  ${\frac {4}{3}}$  $1$  ${\frac {9}{4}}$  $1$  $6$  $2$  ${\frac {1}{9}}$  $1$  ${\frac {53}{8}}$  $1$  $1$  ${\frac {1}{3}}$  ${\frac {11}{8}}$  ${\frac {13}{4}}$  ${\frac {7}{2}}$  ${\frac {1}{2}}$  $1$  ${\frac {9}{4}}$  $4$  ${\frac {37}{27}}$  ${\frac {5}{6}}$  $3$  ${\frac {9}{4}}$  ${\frac {32}{9}}$  ${\frac {5}{7}}$  ${\frac {2}{3}}$  $3$  $4$  ${\frac {13}{4}}$  ${\frac {14}{5}}$  ${\frac {5}{9}}$  $1$  $2$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {13}{6}}-{\frac {5}{3}}$

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

c) ${\frac {17}{24}}-{\frac {3}{8}}$

d) ${\frac {1}{3}}+{\frac {13}{6}}$

e) ${\frac {1}{2}}+{\frac {7}{12}}$

f) ${\frac {11}{24}}+{\frac {2}{3}}$

g) ${\frac {11}{10}}+{\frac {7}{5}}$

h) ${\frac {5}{21}}+{\frac {1}{3}}$

2.

a) ${\frac {19}{8}}-{\frac {3}{4}}$

b) ${\frac {4}{5}}+{\frac {3}{25}}$

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

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

e) ${\frac {1}{2}}+{\frac {7}{10}}$

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

g) ${\frac {10}{3}}-{\frac {11}{6}}$

h) ${\frac {5}{9}}-{\frac {1}{18}}$

i) ${\frac {3}{2}}-{\frac {3}{8}}$

j) ${\frac {15}{16}}-{\frac {3}{4}}$

k) ${\frac {1}{4}}+{\frac {1}{12}}$

l) ${\frac {5}{2}}-{\frac {13}{6}}$

3.

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

b) ${\frac {17}{10}}-{\frac {3}{2}}+{\frac {9}{5}}$

c) ${\frac {5}{4}}-{\frac {7}{12}}+{\frac {4}{3}}$

d) ${\frac {13}{20}}+{\frac {3}{4}}+{\frac {3}{5}}$

e) ${\frac {15}{16}}-{\frac {3}{4}}+{\frac {1}{2}}$

f) ${\frac {1}{2}}-{\frac {3}{28}}-{\frac {1}{4}}$

g) ${\frac {4}{3}}+{\frac {17}{9}}+{\frac {4}{3}}$

h) ${\frac {7}{16}}+{\frac {5}{4}}+{\frac {1}{2}}$

i) ${\frac {5}{3}}+{\frac {19}{12}}-{\frac {3}{4}}$

4.

a) ${\frac {13}{12}}+{\frac {2}{3}}-{\frac {3}{4}}$

b) ${\frac {17}{9}}-{\frac {2}{9}}+{\frac {4}{3}}$

c) ${\frac {3}{4}}-{\frac {1}{2}}-{\frac {1}{20}}$

d) ${\frac {9}{4}}+{\frac {3}{8}}-{\frac {5}{2}}$

e) ${\frac {4}{3}}+{\frac {1}{6}}-{\frac {7}{12}}$

f) ${\frac {1}{2}}+{\frac {3}{4}}-{\frac {1}{16}}$

g) ${\frac {13}{6}}+{\frac {7}{3}}+{\frac {1}{2}}$

h) ${\frac {5}{3}}+{\frac {3}{9}}+{\frac {2}{3}}$

i) ${\frac {1}{3}}+{\frac {1}{7}}+{\frac {20}{21}}$

Lösungen

1-2: ${\frac {7}{16}}$  ${\frac {1}{3}}$  ${\frac {9}{8}}$  ${\frac {8}{25}}$  ${\frac {19}{12}}$  ${\frac {1}{3}}$  ${\frac {13}{8}}$  ${\frac {1}{2}}$  ${\frac {4}{25}}$  ${\frac {19}{8}}$  ${\frac {6}{5}}$  ${\frac {19}{16}}$  ${\frac {7}{4}}$  ${\frac {9}{8}}$  ${\frac {5}{2}}$  ${\frac {11}{4}}$  ${\frac {13}{8}}$  ${\frac {3}{8}}$  ${\frac {1}{2}}$  ${\frac {3}{4}}$  ${\frac {7}{5}}$  ${\frac {5}{2}}$  ${\frac {8}{3}}$  ${\frac {1}{4}}$  ${\frac {3}{2}}$  ${\frac {1}{3}}$  ${\frac {6}{25}}$  ${\frac {4}{7}}$  ${\frac {29}{8}}$  ${\frac {8}{9}}$  ${\frac {3}{16}}$  ${\frac {13}{12}}$  ${\frac {3}{7}}$  ${\frac {5}{3}}$  ${\frac {23}{25}}$  ${\frac {15}{4}}$  ${\frac {9}{8}}$  ${\frac {1}{3}}$  ${\frac {13}{9}}$  ${\frac {5}{3}}$  3-4: ${\frac {17}{9}}$  $2$  ${\frac {35}{16}}$  ${\frac {1}{10}}$  $3$  $3$  ${\frac {3}{8}}$  ${\frac {41}{9}}$  ${\frac {2}{5}}$  ${\frac {13}{4}}$  ${\frac {1}{5}}$  ${\frac {11}{7}}$  ${\frac {1}{4}}$  ${\frac {4}{3}}$  $2$  ${\frac {19}{16}}$  ${\frac {5}{2}}$  $3$  ${\frac {1}{8}}$  ${\frac {6}{5}}$  ${\frac {11}{12}}$  ${\frac {11}{16}}$  ${\frac {1}{7}}$  ${\frac {19}{8}}$  ${\frac {10}{7}}$  $5$  $1$  $6$  ${\frac {1}{3}}$  ${\frac {10}{3}}$  ${\frac {3}{14}}$  $1$  ${\frac {5}{16}}$  $1$  $1$  $2$  ${\frac {11}{8}}$  ${\frac {6}{7}}$  ${\frac {17}{9}}$  ${\frac {8}{3}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {3}{4}}-{\frac {1}{2}}$

b) ${\frac {1}{2}}+{\frac {17}{20}}$

c) ${\frac {9}{12}}-{\frac {1}{2}}$

d) ${\frac {17}{12}}-{\frac {3}{4}}$

e) ${\frac {5}{3}}+{\frac {17}{6}}$

f) ${\frac {3}{2}}-{\frac {13}{10}}$

g) ${\frac {1}{3}}+{\frac {3}{18}}$

h) ${\frac {3}{4}}-{\frac {13}{24}}$

2.

a) ${\frac {3}{4}}+{\frac {1}{20}}$

b) ${\frac {19}{12}}-{\frac {1}{3}}$

c) ${\frac {1}{8}}+{\frac {3}{2}}$

d) ${\frac {4}{3}}+{\frac {11}{12}}$

e) ${\frac {5}{4}}-{\frac {9}{16}}$

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

g) ${\frac {3}{8}}-{\frac {1}{4}}$

h) ${\frac {1}{4}}-{\frac {1}{20}}$

i) ${\frac {5}{2}}+{\frac {5}{4}}$

j) ${\frac {3}{2}}-{\frac {1}{10}}$

k) ${\frac {1}{3}}+{\frac {18}{9}}$

l) ${\frac {1}{2}}+{\frac {16}{8}}$

3.

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

b) ${\frac {1}{21}}+{\frac {2}{3}}+{\frac {2}{7}}$

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

d) ${\frac {16}{12}}+{\frac {3}{2}}+{\frac {2}{3}}$

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

f) ${\frac {3}{4}}+{\frac {5}{8}}-{\frac {13}{16}}$

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

h) ${\frac {10}{9}}+{\frac {2}{3}}+{\frac {4}{3}}$

i) ${\frac {11}{21}}-{\frac {1}{3}}+{\frac {1}{3}}$

4.

a) ${\frac {7}{9}}+{\frac {4}{3}}+{\frac {1}{3}}$

b) ${\frac {7}{15}}+{\frac {1}{5}}+{\frac {4}{3}}$

c) ${\frac {19}{30}}+{\frac {1}{6}}+{\frac {1}{5}}$

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

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

f) ${\frac {17}{20}}+{\frac {1}{5}}-{\frac {1}{4}}$

g) ${\frac {13}{16}}-{\frac {1}{4}}+{\frac {1}{2}}$

h) ${\frac {13}{16}}-{\frac {3}{4}}+{\frac {1}{2}}$

i) ${\frac {5}{12}}-{\frac {1}{4}}+{\frac {4}{3}}$

Lösungen

1-2: ${\frac {17}{9}}$  ${\frac {1}{4}}$  ${\frac {2}{3}}$  ${\frac {17}{4}}$  ${\frac {5}{28}}$  ${\frac {29}{9}}$  ${\frac {9}{4}}$  ${\frac {1}{2}}$  ${\frac {31}{12}}$  ${\frac {4}{5}}$  ${\frac {9}{4}}$  ${\frac {5}{2}}$  ${\frac {7}{6}}$  ${\frac {15}{4}}$  ${\frac {1}{4}}$  ${\frac {1}{5}}$  ${\frac {5}{4}}$  ${\frac {1}{8}}$  ${\frac {11}{16}}$  ${\frac {13}{9}}$  ${\frac {13}{8}}$  ${\frac {1}{5}}$  ${\frac {9}{2}}$  ${\frac {2}{3}}$  ${\frac {2}{5}}$  ${\frac {5}{2}}$  ${\frac {13}{16}}$  ${\frac {5}{3}}$  ${\frac {9}{8}}$  ${\frac {7}{3}}$  ${\frac {7}{3}}$  ${\frac {5}{24}}$  ${\frac {5}{2}}$  ${\frac {16}{9}}$  ${\frac {4}{9}}$  ${\frac {27}{20}}$  ${\frac {7}{5}}$  ${\frac {7}{5}}$  ${\frac {11}{3}}$  ${\frac {1}{2}}$  3-4: $4$  ${\frac {11}{8}}$  ${\frac {9}{16}}$  $1$  ${\frac {7}{4}}$  ${\frac {1}{2}}$  ${\frac {23}{8}}$  ${\frac {7}{2}}$  ${\frac {5}{4}}$  ${\frac {22}{9}}$  $1$  ${\frac {1}{3}}$  ${\frac {3}{2}}$  ${\frac {9}{16}}$  $1$  ${\frac {17}{16}}$  ${\frac {28}{9}}$  $2$  ${\frac {4}{5}}$  ${\frac {19}{9}}$  ${\frac {3}{2}}$  ${\frac {28}{9}}$  $1$  ${\frac {5}{8}}$  $5$  $2$  ${\frac {1}{4}}$  ${\frac {23}{8}}$  ${\frac {1}{9}}$  ${\frac {5}{16}}$  ${\frac {47}{16}}$  $6$  ${\frac {1}{9}}$  $3$  ${\frac {11}{21}}$  ${\frac {9}{4}}$  ${\frac {1}{16}}$  ${\frac {5}{2}}$  ${\frac {17}{16}}$  $4$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {7}{8}}+{\frac {9}{4}}$

b) ${\frac {3}{4}}-{\frac {7}{20}}$

c) ${\frac {3}{2}}+{\frac {15}{8}}$

d) ${\frac {3}{4}}-{\frac {3}{20}}$

e) ${\frac {2}{3}}-{\frac {2}{27}}$

f) ${\frac {2}{5}}-{\frac {3}{25}}$

g) ${\frac {5}{2}}+{\frac {7}{6}}$

h) ${\frac {4}{3}}-{\frac {7}{12}}$

2.

a) ${\frac {11}{9}}+{\frac {2}{3}}$

b) ${\frac {10}{3}}-{\frac {11}{6}}$

c) ${\frac {1}{12}}+{\frac {1}{2}}$

d) ${\frac {7}{12}}-{\frac {1}{3}}$

e) ${\frac {7}{3}}+{\frac {19}{6}}$

f) ${\frac {19}{18}}-{\frac {2}{3}}$

g) ${\frac {1}{18}}+{\frac {1}{2}}$

h) ${\frac {3}{2}}-{\frac {10}{12}}$

i) ${\frac {1}{3}}-{\frac {1}{18}}$

j) ${\frac {3}{4}}+{\frac {1}{20}}$

k) ${\frac {19}{16}}+{\frac {1}{4}}$

l) ${\frac {7}{8}}+{\frac {5}{2}}$

3.

a) ${\frac {1}{2}}-{\frac {1}{7}}-{\frac {1}{14}}$

b) ${\frac {7}{2}}-{\frac {9}{2}}+{\frac {9}{4}}$

c) ${\frac {4}{3}}+{\frac {16}{9}}-{\frac {4}{3}}$

d) ${\frac {19}{18}}+{\frac {1}{3}}-{\frac {5}{6}}$

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

f) ${\frac {1}{4}}+{\frac {1}{8}}+{\frac {3}{2}}$

g) ${\frac {5}{3}}+{\frac {13}{6}}-{\frac {4}{3}}$

h) ${\frac {7}{4}}+{\frac {1}{2}}+{\frac {17}{8}}$

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

4.

a) ${\frac {1}{5}}-{\frac {7}{10}}+{\frac {3}{2}}$

b) ${\frac {3}{2}}+{\frac {19}{4}}+{\frac {11}{4}}$

c) ${\frac {13}{12}}+{\frac {1}{2}}+{\frac {7}{6}}$

d) ${\frac {17}{12}}-{\frac {1}{4}}-{\frac {1}{6}}$

e) ${\frac {1}{4}}-{\frac {3}{16}}+{\frac {1}{4}}$

f) ${\frac {20}{9}}-{\frac {5}{9}}-{\frac {2}{3}}$

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

h) ${\frac {1}{2}}+{\frac {17}{6}}+{\frac {5}{3}}$

i) ${\frac {2}{3}}-{\frac {6}{24}}+{\frac {1}{4}}$

Lösungen

1-2: ${\frac {23}{16}}$  ${\frac {25}{8}}$  ${\frac {3}{5}}$  ${\frac {1}{2}}$  ${\frac {13}{4}}$  ${\frac {5}{2}}$  ${\frac {1}{2}}$  ${\frac {7}{25}}$  ${\frac {5}{8}}$  ${\frac {17}{9}}$  ${\frac {7}{12}}$  ${\frac {1}{6}}$  ${\frac {7}{3}}$  ${\frac {2}{3}}$  ${\frac {2}{5}}$  ${\frac {5}{18}}$  ${\frac {3}{2}}$  ${\frac {1}{4}}$  ${\frac {5}{9}}$  ${\frac {7}{8}}$  ${\frac {11}{2}}$  ${\frac {3}{4}}$  ${\frac {11}{3}}$  ${\frac {5}{4}}$  ${\frac {7}{18}}$  ${\frac {4}{5}}$  $1$  $1$  ${\frac {7}{16}}$  ${\frac {4}{7}}$  ${\frac {3}{2}}$  ${\frac {16}{27}}$  ${\frac {16}{5}}$  ${\frac {7}{9}}$  ${\frac {35}{12}}$  ${\frac {27}{8}}$  ${\frac {27}{8}}$  ${\frac {5}{2}}$  ${\frac {5}{7}}$  ${\frac {4}{7}}$  3-4: ${\frac {31}{16}}$  ${\frac {2}{7}}$  ${\frac {5}{2}}$  ${\frac {1}{3}}$  $4$  $4$  $4$  ${\frac {16}{9}}$  ${\frac {7}{4}}$  $1$  ${\frac {5}{16}}$  ${\frac {5}{2}}$  $1$  ${\frac {2}{5}}$  ${\frac {5}{9}}$  $1$  ${\frac {35}{8}}$  $1$  ${\frac {11}{4}}$  ${\frac {31}{16}}$  $9$  ${\frac {8}{27}}$  $5$  ${\frac {5}{4}}$  ${\frac {2}{3}}$  $5$  ${\frac {1}{16}}$  ${\frac {3}{4}}$  ${\frac {14}{9}}$  ${\frac {7}{4}}$  ${\frac {5}{8}}$  ${\frac {15}{8}}$  ${\frac {12}{5}}$  ${\frac {23}{18}}$  ${\frac {13}{9}}$  ${\frac {5}{4}}$  ${\frac {1}{3}}$  ${\frac {21}{8}}$  ${\frac {17}{16}}$  ${\frac {1}{20}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {15}{28}}-{\frac {1}{4}}$

b) ${\frac {1}{3}}-{\frac {5}{27}}$

c) ${\frac {16}{15}}-{\frac {2}{5}}$

d) ${\frac {17}{6}}+{\frac {5}{3}}$

e) ${\frac {14}{9}}+{\frac {1}{3}}$

f) ${\frac {19}{12}}-{\frac {1}{3}}$

g) ${\frac {12}{24}}+{\frac {3}{4}}$

h) ${\frac {13}{21}}-{\frac {1}{3}}$

2.

a) ${\frac {20}{9}}-{\frac {1}{3}}$

b) ${\frac {3}{5}}-{\frac {8}{25}}$

c) ${\frac {5}{6}}+{\frac {7}{18}}$

d) ${\frac {7}{4}}+{\frac {5}{2}}$

e) ${\frac {1}{4}}+{\frac {15}{16}}$

f) ${\frac {1}{16}}+{\frac {2}{4}}$

g) ${\frac {1}{3}}+{\frac {7}{27}}$

h) ${\frac {5}{3}}-{\frac {4}{9}}$

i) ${\frac {1}{2}}+{\frac {17}{16}}$

j) ${\frac {1}{5}}+{\frac {1}{25}}$

k) ${\frac {16}{15}}-{\frac {2}{3}}$

l) ${\frac {1}{4}}+{\frac {4}{2}}$

3.

a) ${\frac {17}{8}}+{\frac {9}{4}}-{\frac {3}{2}}$

b) ${\frac {19}{12}}+{\frac {2}{3}}+{\frac {3}{4}}$

c) ${\frac {1}{4}}+{\frac {2}{5}}-{\frac {1}{20}}$

d) ${\frac {7}{30}}+{\frac {3}{5}}-{\frac {1}{6}}$

e) ${\frac {4}{5}}+{\frac {14}{20}}-{\frac {3}{4}}$

f) ${\frac {11}{4}}-{\frac {9}{2}}+{\frac {15}{4}}$

g) ${\frac {5}{4}}+{\frac {1}{2}}-{\frac {13}{12}}$

h) ${\frac {17}{6}}-{\frac {1}{2}}+{\frac {2}{3}}$

i) ${\frac {2}{3}}-{\frac {7}{3}}+{\frac {17}{6}}$

4.

a) ${\frac {4}{5}}+{\frac {9}{25}}-{\frac {2}{5}}$

b) ${\frac {3}{2}}+{\frac {1}{6}}-{\frac {11}{12}}$

c) ${\frac {17}{18}}+{\frac {1}{6}}+{\frac {1}{3}}$

d) ${\frac {3}{8}}+{\frac {7}{4}}-{\frac {2}{2}}$

e) ${\frac {10}{3}}-{\frac {5}{2}}+{\frac {7}{6}}$

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

g) ${\frac {5}{3}}-{\frac {2}{9}}-{\frac {2}{3}}$

h) ${\frac {3}{2}}-{\frac {1}{4}}-{\frac {7}{8}}$

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

Lösungen

1-2: ${\frac {2}{3}}$  ${\frac {2}{3}}$  ${\frac {17}{9}}$  ${\frac {23}{24}}$  $10$  ${\frac {5}{2}}$  ${\frac {13}{30}}$  ${\frac {4}{27}}$  ${\frac {11}{7}}$  ${\frac {5}{4}}$  ${\frac {19}{16}}$  ${\frac {7}{2}}$  ${\frac {4}{3}}$  ${\frac {2}{5}}$  ${\frac {17}{9}}$  ${\frac {16}{27}}$  ${\frac {1}{3}}$  ${\frac {9}{16}}$  ${\frac {11}{9}}$  ${\frac {25}{8}}$  ${\frac {17}{4}}$  ${\frac {2}{7}}$  ${\frac {5}{4}}$  ${\frac {25}{4}}$  ${\frac {11}{9}}$  ${\frac {25}{16}}$  ${\frac {3}{16}}$  ${\frac {4}{3}}$  ${\frac {9}{4}}$  ${\frac {7}{25}}$  ${\frac {31}{9}}$  ${\frac {9}{2}}$  ${\frac {2}{9}}$  ${\frac {4}{5}}$  ${\frac {13}{16}}$  ${\frac {2}{7}}$  ${\frac {9}{4}}$  ${\frac {6}{25}}$  ${\frac {31}{9}}$  ${\frac {3}{16}}$  3-4: ${\frac {3}{2}}$  ${\frac {2}{3}}$  ${\frac {3}{5}}$  ${\frac {17}{4}}$  ${\frac {7}{2}}$  ${\frac {15}{4}}$  $4$  ${\frac {23}{8}}$  ${\frac {5}{3}}$  $3$  ${\frac {9}{8}}$  $3$  ${\frac {5}{4}}$  ${\frac {3}{4}}$  ${\frac {3}{4}}$  ${\frac {3}{8}}$  ${\frac {1}{3}}$  $2$  ${\frac {13}{9}}$  $3$  $1$  ${\frac {19}{25}}$  ${\frac {5}{6}}$  $1$  ${\frac {7}{9}}$  ${\frac {8}{9}}$  ${\frac {7}{5}}$  $1$  $2$  $2$  ${\frac {35}{16}}$  ${\frac {7}{6}}$  ${\frac {23}{4}}$  ${\frac {5}{3}}$  ${\frac {2}{3}}$  $3$  $1$  $1$  $3$  ${\frac {11}{6}}$ 

Berechne und kürze wenn möglich.

1.

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

b) ${\frac {13}{9}}+{\frac {2}{3}}$

c) ${\frac {19}{8}}-{\frac {1}{4}}$

d) ${\frac {17}{6}}+{\frac {2}{3}}$

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

f) ${\frac {13}{6}}-{\frac {3}{2}}$

g) ${\frac {2}{3}}-{\frac {4}{9}}$

h) ${\frac {1}{2}}-{\frac {5}{14}}$

2.

a) ${\frac {13}{10}}-{\frac {1}{5}}$

b) ${\frac {13}{12}}+{\frac {5}{4}}$

c) ${\frac {1}{2}}-{\frac {3}{14}}$

d) ${\frac {13}{12}}-{\frac {3}{4}}$

e) ${\frac {10}{8}}-{\frac {7}{16}}$

f) ${\frac {1}{3}}+{\frac {11}{9}}$

g) ${\frac {12}{8}}-{\frac {1}{2}}$

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

i) ${\frac {1}{2}}-{\frac {3}{10}}$

j) ${\frac {5}{14}}+{\frac {1}{2}}$

k) ${\frac {19}{21}}-{\frac {1}{3}}$

l) ${\frac {17}{16}}-{\frac {1}{4}}$

3.

a) ${\frac {9}{2}}-{\frac {5}{2}}+{\frac {8}{4}}$

b) ${\frac {7}{2}}-{\frac {9}{4}}+{\frac {11}{4}}$

c) ${\frac {17}{21}}+{\frac {2}{3}}-{\frac {1}{7}}$

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

e) ${\frac {9}{4}}+{\frac {13}{8}}+{\frac {3}{2}}$

f) ${\frac {20}{21}}-{\frac {2}{3}}+{\frac {1}{3}}$

g) ${\frac {3}{4}}-{\frac {9}{8}}+{\frac {5}{2}}$

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

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

4.

a) ${\frac {19}{12}}+{\frac {4}{3}}+{\frac {5}{6}}$

b) ${\frac {2}{7}}+{\frac {1}{4}}+{\frac {13}{28}}$

c) ${\frac {1}{2}}+{\frac {5}{7}}-{\frac {1}{28}}$

d) ${\frac {1}{3}}-{\frac {1}{8}}+{\frac {19}{24}}$

e) ${\frac {14}{16}}-{\frac {3}{4}}+{\frac {7}{8}}$

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

g) ${\frac {15}{4}}-{\frac {9}{4}}+{\frac {1}{2}}$

h) ${\frac {11}{6}}-{\frac {2}{3}}-{\frac {2}{3}}$

i) ${\frac {13}{16}}+{\frac {5}{4}}+{\frac {1}{2}}$

Lösungen

1-2: ${\frac {13}{4}}$  $4$  ${\frac {2}{9}}$  ${\frac {11}{3}}$  ${\frac {31}{9}}$  ${\frac {11}{4}}$  ${\frac {1}{4}}$  ${\frac {17}{8}}$  ${\frac {4}{5}}$  ${\frac {2}{3}}$  ${\frac {13}{16}}$  ${\frac {1}{5}}$  ${\frac {8}{25}}$  ${\frac {4}{7}}$  ${\frac {19}{9}}$  ${\frac {4}{3}}$  ${\frac {1}{7}}$  ${\frac {2}{7}}$  ${\frac {1}{3}}$  ${\frac {3}{4}}$  $1$  ${\frac {5}{16}}$  ${\frac {7}{3}}$  ${\frac {27}{16}}$  ${\frac {14}{9}}$  ${\frac {6}{7}}$  ${\frac {3}{5}}$  ${\frac {3}{4}}$  $1$  ${\frac {1}{4}}$  ${\frac {1}{5}}$  ${\frac {1}{3}}$  ${\frac {3}{8}}$  ${\frac {4}{3}}$  ${\frac {11}{10}}$  ${\frac {7}{2}}$  ${\frac {29}{6}}$  ${\frac {13}{16}}$  ${\frac {7}{4}}$  ${\frac {2}{9}}$  3-4: ${\frac {22}{9}}$  ${\frac {43}{8}}$  ${\frac {19}{9}}$  $2$  ${\frac {4}{5}}$  ${\frac {11}{7}}$  ${\frac {1}{6}}$  $4$  ${\frac {4}{3}}$  ${\frac {15}{4}}$  ${\frac {33}{28}}$  ${\frac {5}{3}}$  $2$  ${\frac {41}{16}}$  $4$  ${\frac {11}{8}}$  $3$  $2$  $1$  $1$  $1$  ${\frac {5}{4}}$  ${\frac {17}{8}}$  $3$  $1$  ${\frac {1}{3}}$  $2$  ${\frac {5}{6}}$  ${\frac {2}{3}}$  ${\frac {3}{8}}$  ${\frac {1}{2}}$  ${\frac {13}{21}}$  ${\frac {14}{9}}$  $1$  $8$  ${\frac {4}{3}}$  ${\frac {1}{2}}$  ${\frac {1}{3}}$  ${\frac {1}{3}}$  $1$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {16}{8}}-{\frac {1}{2}}$

b) ${\frac {11}{8}}-{\frac {1}{2}}$

c) ${\frac {3}{5}}+{\frac {3}{20}}$

d) ${\frac {5}{3}}+{\frac {19}{12}}$

e) ${\frac {8}{30}}+{\frac {2}{5}}$

f) ${\frac {5}{24}}+{\frac {1}{4}}$

g) ${\frac {2}{5}}+{\frac {4}{15}}$

h) ${\frac {2}{4}}+{\frac {9}{8}}$

2.

a) ${\frac {13}{6}}+{\frac {1}{3}}$

b) ${\frac {6}{5}}-{\frac {14}{15}}$

c) ${\frac {13}{8}}-{\frac {3}{2}}$

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

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

f) ${\frac {1}{4}}+{\frac {5}{28}}$

g) ${\frac {11}{6}}+{\frac {1}{2}}$

h) ${\frac {4}{3}}+{\frac {19}{15}}$

i) ${\frac {7}{12}}-{\frac {1}{4}}$

j) ${\frac {3}{4}}+{\frac {13}{24}}$

k) ${\frac {4}{3}}-{\frac {4}{9}}$

l) ${\frac {3}{5}}-{\frac {12}{25}}$

3.

a) ${\frac {12}{16}}-{\frac {3}{4}}+{\frac {1}{4}}$

b) ${\frac {3}{5}}+{\frac {13}{20}}-{\frac {1}{4}}$

c) ${\frac {1}{3}}-{\frac {2}{5}}+{\frac {4}{15}}$

d) ${\frac {20}{12}}-{\frac {1}{2}}+{\frac {2}{2}}$

e) ${\frac {4}{7}}-{\frac {9}{28}}+{\frac {1}{4}}$

f) ${\frac {3}{2}}-{\frac {13}{6}}+{\frac {8}{3}}$

g) ${\frac {1}{3}}+{\frac {3}{2}}+{\frac {19}{6}}$

h) ${\frac {1}{3}}+{\frac {7}{24}}-{\frac {1}{4}}$

i) ${\frac {3}{2}}-{\frac {1}{4}}+{\frac {19}{4}}$

4.

a) ${\frac {19}{6}}-{\frac {1}{2}}+{\frac {1}{3}}$

b) ${\frac {15}{4}}-{\frac {5}{2}}+{\frac {3}{4}}$

c) ${\frac {1}{4}}+{\frac {19}{8}}-{\frac {3}{2}}$

d) ${\frac {1}{3}}+{\frac {5}{18}}+{\frac {1}{2}}$

e) ${\frac {2}{5}}-{\frac {1}{30}}-{\frac {1}{6}}$

f) ${\frac {2}{5}}+{\frac {3}{4}}-{\frac {3}{20}}$

g) ${\frac {3}{4}}+{\frac {19}{20}}-{\frac {1}{5}}$

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

i) ${\frac {9}{25}}+{\frac {2}{5}}-{\frac {2}{5}}$

Lösungen

1-2: ${\frac {5}{2}}$  ${\frac {3}{4}}$  ${\frac {2}{3}}$  ${\frac {22}{25}}$  ${\frac {4}{3}}$  ${\frac {31}{24}}$  ${\frac {3}{5}}$  ${\frac {2}{3}}$  ${\frac {1}{6}}$  ${\frac {4}{15}}$  ${\frac {1}{8}}$  ${\frac {1}{4}}$  ${\frac {1}{12}}$  ${\frac {1}{4}}$  ${\frac {7}{8}}$  ${\frac {7}{3}}$  ${\frac {5}{2}}$  ${\frac {1}{3}}$  ${\frac {15}{4}}$  ${\frac {9}{4}}$  ${\frac {11}{4}}$  ${\frac {13}{8}}$  ${\frac {11}{24}}$  ${\frac {11}{8}}$  ${\frac {13}{5}}$  ${\frac {3}{7}}$  ${\frac {2}{3}}$  ${\frac {1}{7}}$  ${\frac {6}{7}}$  ${\frac {7}{16}}$  ${\frac {3}{7}}$  ${\frac {13}{4}}$  ${\frac {3}{4}}$  ${\frac {21}{4}}$  ${\frac {1}{2}}$  ${\frac {3}{2}}$  ${\frac {8}{9}}$  ${\frac {3}{25}}$  ${\frac {5}{6}}$  ${\frac {6}{7}}$  3-4: $7$  ${\frac {1}{5}}$  $5$  ${\frac {1}{2}}$  ${\frac {1}{4}}$  $2$  ${\frac {2}{5}}$  ${\frac {1}{2}}$  ${\frac {7}{2}}$  ${\frac {1}{4}}$  ${\frac {9}{8}}$  $2$  ${\frac {1}{2}}$  $1$  ${\frac {13}{6}}$  $1$  ${\frac {3}{8}}$  ${\frac {10}{9}}$  $2$  ${\frac {1}{2}}$  ${\frac {3}{2}}$  $6$  $3$  ${\frac {7}{9}}$  ${\frac {1}{5}}$  ${\frac {21}{4}}$  ${\frac {1}{3}}$  $1$  ${\frac {5}{16}}$  ${\frac {3}{8}}$  ${\frac {9}{25}}$  $2$  $5$  ${\frac {9}{16}}$  ${\frac {3}{4}}$  $1$  $5$  $2$  ${\frac {59}{16}}$  $3$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {17}{10}}-{\frac {1}{5}}$

b) ${\frac {11}{24}}+{\frac {2}{3}}$

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

d) ${\frac {1}{6}}+{\frac {13}{30}}$

e) ${\frac {14}{15}}-{\frac {1}{3}}$

f) ${\frac {3}{4}}-{\frac {5}{16}}$

g) ${\frac {17}{20}}-{\frac {1}{4}}$

h) ${\frac {2}{3}}+{\frac {7}{21}}$

2.

a) ${\frac {3}{4}}-{\frac {17}{24}}$

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

c) ${\frac {1}{18}}+{\frac {1}{6}}$

d) ${\frac {5}{16}}-{\frac {1}{4}}$

e) ${\frac {5}{16}}+{\frac {5}{4}}$

f) ${\frac {7}{2}}-{\frac {11}{4}}$

g) ${\frac {3}{2}}-{\frac {5}{12}}$

h) ${\frac {11}{8}}+{\frac {3}{4}}$

i) ${\frac {19}{14}}-{\frac {6}{7}}$

j) ${\frac {17}{30}}+{\frac {3}{5}}$

k) ${\frac {17}{8}}-{\frac {1}{2}}$

l) ${\frac {11}{6}}-{\frac {4}{3}}$

3.

a) ${\frac {1}{2}}-{\frac {1}{3}}+{\frac {1}{18}}$

b) ${\frac {3}{4}}-{\frac {11}{12}}+{\frac {1}{2}}$

c) ${\frac {3}{2}}-{\frac {1}{4}}-{\frac {7}{12}}$

d) ${\frac {4}{3}}-{\frac {1}{12}}-{\frac {1}{6}}$

e) ${\frac {13}{10}}-{\frac {3}{10}}-{\frac {1}{2}}$

f) ${\frac {17}{8}}+{\frac {1}{2}}-{\frac {9}{4}}$

g) ${\frac {1}{2}}-{\frac {1}{30}}+{\frac {1}{3}}$

h) ${\frac {3}{5}}-{\frac {4}{3}}+{\frac {16}{15}}$

i) ${\frac {7}{8}}-{\frac {8}{4}}+{\frac {7}{4}}$

4.

a) ${\frac {1}{3}}+{\frac {4}{5}}-{\frac {2}{15}}$

b) ${\frac {1}{3}}+{\frac {1}{3}}+{\frac {10}{27}}$

c) ${\frac {5}{4}}-{\frac {1}{12}}+{\frac {1}{2}}$

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

e) ${\frac {2}{3}}+{\frac {3}{4}}+{\frac {7}{12}}$

f) ${\frac {10}{9}}+{\frac {1}{3}}-{\frac {2}{3}}$

g) ${\frac {5}{3}}+{\frac {2}{9}}+{\frac {4}{3}}$

h) ${\frac {3}{20}}+{\frac {3}{5}}+{\frac {3}{4}}$

i) ${\frac {1}{8}}+{\frac {3}{4}}-{\frac {6}{16}}$

Lösungen

1-2: ${\frac {1}{2}}$  ${\frac {9}{8}}$  $1$  ${\frac {15}{4}}$  ${\frac {5}{2}}$  ${\frac {2}{9}}$  ${\frac {5}{3}}$  ${\frac {3}{5}}$  ${\frac {2}{3}}$  ${\frac {22}{27}}$  ${\frac {2}{9}}$  ${\frac {17}{16}}$  ${\frac {5}{6}}$  ${\frac {7}{6}}$  ${\frac {3}{2}}$  ${\frac {1}{2}}$  $3$  ${\frac {25}{16}}$  ${\frac {13}{12}}$  ${\frac {19}{8}}$  ${\frac {1}{16}}$  ${\frac {5}{3}}$  ${\frac {3}{5}}$  ${\frac {2}{25}}$  ${\frac {17}{8}}$  ${\frac {13}{8}}$  ${\frac {1}{4}}$  ${\frac {13}{8}}$  ${\frac {1}{4}}$  ${\frac {1}{24}}$  ${\frac {3}{4}}$  ${\frac {7}{16}}$  ${\frac {23}{25}}$  ${\frac {3}{5}}$  ${\frac {3}{5}}$  ${\frac {5}{3}}$  $1$  ${\frac {7}{9}}$  ${\frac {25}{8}}$  ${\frac {1}{18}}$  3-4: ${\frac {21}{8}}$  ${\frac {1}{3}}$  ${\frac {1}{2}}$  ${\frac {1}{4}}$  ${\frac {5}{2}}$  ${\frac {15}{8}}$  ${\frac {7}{16}}$  ${\frac {13}{12}}$  ${\frac {5}{9}}$  $1$  ${\frac {5}{3}}$  ${\frac {9}{8}}$  $6$  ${\frac {3}{2}}$  ${\frac {2}{9}}$  $2$  ${\frac {5}{8}}$  ${\frac {7}{9}}$  ${\frac {29}{9}}$  ${\frac {3}{7}}$  ${\frac {28}{27}}$  ${\frac {1}{3}}$  ${\frac {3}{8}}$  ${\frac {1}{4}}$  $2$  ${\frac {3}{2}}$  $2$  ${\frac {5}{4}}$  $2$  ${\frac {9}{2}}$  ${\frac {1}{2}}$  ${\frac {4}{5}}$  ${\frac {1}{2}}$  $1$  ${\frac {35}{9}}$  ${\frac {2}{3}}$  $1$  ${\frac {2}{3}}$  $6$  $7$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {4}{9}}+{\frac {2}{27}}$

b) ${\frac {1}{5}}+{\frac {1}{25}}$

c) ${\frac {10}{9}}-{\frac {2}{3}}$

d) ${\frac {3}{4}}-{\frac {3}{16}}$

e) ${\frac {19}{6}}-{\frac {8}{3}}$

f) ${\frac {7}{9}}+{\frac {1}{3}}$

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

h) ${\frac {19}{10}}+{\frac {3}{5}}$

2.

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

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

c) ${\frac {5}{2}}-{\frac {7}{6}}$

d) ${\frac {19}{25}}+{\frac {2}{5}}$

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

f) ${\frac {19}{6}}-{\frac {2}{3}}$

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

h) ${\frac {17}{15}}-{\frac {4}{5}}$

i) ${\frac {9}{28}}+{\frac {1}{4}}$

j) ${\frac {5}{7}}-{\frac {8}{21}}$

k) ${\frac {1}{2}}-{\frac {3}{8}}$

l) ${\frac {13}{6}}+{\frac {5}{2}}$

3.

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

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

c) ${\frac {1}{8}}+{\frac {5}{16}}-{\frac {1}{4}}$

d) ${\frac {2}{3}}+{\frac {2}{7}}-{\frac {13}{21}}$

e) ${\frac {19}{10}}-{\frac {2}{5}}+{\frac {3}{2}}$

f) ${\frac {1}{3}}-{\frac {1}{3}}+{\frac {14}{9}}$

g) ${\frac {5}{7}}+{\frac {16}{21}}-{\frac {1}{7}}$

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

i) ${\frac {3}{2}}-{\frac {1}{4}}-{\frac {7}{12}}$

4.

a) ${\frac {3}{4}}+{\frac {5}{6}}-{\frac {7}{12}}$

b) ${\frac {1}{2}}-{\frac {3}{10}}+{\frac {9}{5}}$

c) ${\frac {4}{3}}+{\frac {10}{9}}+{\frac {4}{3}}$

d) ${\frac {3}{2}}-{\frac {1}{3}}-{\frac {11}{12}}$

e) ${\frac {5}{21}}+{\frac {3}{7}}+{\frac {1}{3}}$

f) ${\frac {13}{10}}-{\frac {1}{2}}+{\frac {6}{5}}$

g) ${\frac {5}{6}}-{\frac {1}{4}}-{\frac {6}{24}}$

h) ${\frac {17}{16}}+{\frac {1}{4}}-{\frac {1}{2}}$

i) ${\frac {13}{6}}+{\frac {1}{3}}-{\frac {4}{3}}$

Lösungen

1-2: ${\frac {3}{4}}$  ${\frac {5}{2}}$  ${\frac {4}{9}}$  ${\frac {7}{5}}$  ${\frac {14}{3}}$  ${\frac {1}{3}}$  ${\frac {5}{6}}$  ${\frac {1}{2}}$  ${\frac {1}{3}}$  ${\frac {1}{9}}$  ${\frac {5}{2}}$  ${\frac {37}{8}}$  ${\frac {2}{9}}$  ${\frac {1}{2}}$  ${\frac {9}{16}}$  ${\frac {4}{7}}$  ${\frac {10}{9}}$  ${\frac {2}{3}}$  ${\frac {29}{25}}$  ${\frac {1}{5}}$  ${\frac {4}{3}}$  ${\frac {2}{5}}$  ${\frac {6}{25}}$  ${\frac {10}{3}}$  ${\frac {1}{3}}$  ${\frac {1}{3}}$  ${\frac {23}{12}}$  ${\frac {5}{18}}$  ${\frac {1}{6}}$  ${\frac {3}{4}}$  ${\frac {1}{2}}$  ${\frac {14}{27}}$  ${\frac {13}{7}}$  ${\frac {1}{12}}$  ${\frac {8}{3}}$  ${\frac {6}{25}}$  ${\frac {1}{8}}$  ${\frac {4}{5}}$  ${\frac {5}{3}}$  ${\frac {2}{5}}$  3-4: ${\frac {3}{5}}$  $3$  ${\frac {4}{3}}$  ${\frac {1}{2}}$  ${\frac {4}{9}}$  ${\frac {5}{8}}$  $1$  ${\frac {1}{3}}$  ${\frac {1}{3}}$  ${\frac {1}{2}}$  ${\frac {34}{9}}$  ${\frac {9}{8}}$  ${\frac {11}{8}}$  ${\frac {5}{8}}$  ${\frac {3}{16}}$  $2$  $3$  $2$  $1$  $5$  ${\frac {1}{4}}$  $1$  $1$  ${\frac {2}{3}}$  ${\frac {1}{3}}$  ${\frac {13}{16}}$  ${\frac {5}{9}}$  $1$  $7$  ${\frac {1}{4}}$  ${\frac {4}{3}}$  ${\frac {14}{9}}$  ${\frac {11}{9}}$  ${\frac {7}{4}}$  ${\frac {7}{2}}$  ${\frac {13}{4}}$  ${\frac {7}{6}}$  $2$  ${\frac {13}{16}}$  $2$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {9}{2}}-{\frac {9}{4}}$

b) ${\frac {3}{2}}+{\frac {18}{12}}$

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

d) ${\frac {1}{3}}+{\frac {13}{27}}$

e) ${\frac {1}{3}}+{\frac {4}{9}}$

f) ${\frac {2}{5}}+{\frac {12}{20}}$

g) ${\frac {2}{3}}-{\frac {2}{21}}$

h) ${\frac {19}{20}}-{\frac {3}{4}}$

2.

a) ${\frac {17}{16}}+{\frac {1}{2}}$

b) ${\frac {1}{3}}+{\frac {5}{9}}$

c) ${\frac {12}{25}}-{\frac {2}{5}}$

d) ${\frac {3}{5}}-{\frac {13}{30}}$

e) ${\frac {8}{16}}-{\frac {3}{8}}$

f) ${\frac {16}{9}}+{\frac {4}{3}}$

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

h) ${\frac {12}{8}}+{\frac {3}{2}}$

i) ${\frac {3}{4}}-{\frac {1}{16}}$

j) ${\frac {8}{4}}+{\frac {5}{2}}$

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

l) ${\frac {11}{18}}+{\frac {1}{3}}$

3.

a) ${\frac {4}{3}}-{\frac {1}{3}}+{\frac {4}{9}}$

b) ${\frac {17}{12}}+{\frac {4}{3}}-{\frac {3}{4}}$

c) ${\frac {4}{5}}+{\frac {7}{10}}+{\frac {3}{2}}$

d) ${\frac {9}{8}}-{\frac {9}{4}}+{\frac {3}{2}}$

e) ${\frac {19}{15}}+{\frac {3}{5}}+{\frac {1}{3}}$

f) ${\frac {10}{3}}-{\frac {11}{6}}+{\frac {5}{2}}$

g) ${\frac {1}{2}}+{\frac {9}{7}}-{\frac {5}{14}}$

h) ${\frac {2}{3}}+{\frac {13}{9}}+{\frac {2}{3}}$

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

4.

a) ${\frac {1}{3}}-{\frac {1}{6}}+{\frac {17}{24}}$

b) ${\frac {17}{12}}-{\frac {2}{3}}+{\frac {3}{2}}$

c) ${\frac {19}{4}}-{\frac {1}{4}}-{\frac {5}{2}}$

d) ${\frac {4}{5}}-{\frac {1}{4}}+{\frac {9}{20}}$

e) ${\frac {1}{5}}-{\frac {9}{25}}+{\frac {4}{5}}$

f) ${\frac {5}{3}}+{\frac {2}{3}}+{\frac {8}{9}}$

g) ${\frac {1}{8}}+{\frac {5}{4}}-{\frac {3}{16}}$

h) ${\frac {3}{4}}+{\frac {3}{2}}-{\frac {15}{8}}$

i) ${\frac {1}{5}}+{\frac {19}{30}}+{\frac {1}{6}}$

Lösungen

1-2: ${\frac {17}{18}}$  ${\frac {9}{4}}$  ${\frac {1}{5}}$  ${\frac {13}{9}}$  ${\frac {3}{8}}$  ${\frac {1}{7}}$  ${\frac {5}{4}}$  $1$  $1$  ${\frac {17}{12}}$  ${\frac {1}{8}}$  ${\frac {5}{9}}$  ${\frac {7}{8}}$  ${\frac {9}{2}}$  $3$  ${\frac {11}{16}}$  ${\frac {22}{27}}$  ${\frac {1}{6}}$  ${\frac {28}{9}}$  ${\frac {1}{3}}$  ${\frac {2}{25}}$  ${\frac {1}{5}}$  ${\frac {4}{7}}$  ${\frac {26}{27}}$  ${\frac {11}{8}}$  ${\frac {5}{7}}$  ${\frac {1}{16}}$  ${\frac {1}{8}}$  ${\frac {9}{4}}$  ${\frac {8}{9}}$  $3$  ${\frac {7}{9}}$  ${\frac {5}{7}}$  ${\frac {14}{9}}$  ${\frac {25}{16}}$  ${\frac {3}{2}}$  ${\frac {3}{2}}$  ${\frac {17}{28}}$  ${\frac {7}{3}}$  ${\frac {8}{9}}$  3-4: ${\frac {7}{4}}$  ${\frac {13}{9}}$  ${\frac {25}{9}}$  ${\frac {7}{2}}$  ${\frac {19}{9}}$  ${\frac {31}{4}}$  $2$  $3$  ${\frac {3}{4}}$  $1$  $1$  $3$  ${\frac {5}{9}}$  ${\frac {29}{9}}$  ${\frac {3}{8}}$  ${\frac {29}{8}}$  ${\frac {7}{4}}$  ${\frac {16}{25}}$  ${\frac {9}{4}}$  ${\frac {1}{2}}$  $2$  $4$  ${\frac {11}{5}}$  $2$  ${\frac {3}{8}}$  ${\frac {19}{16}}$  $2$  ${\frac {19}{10}}$  $1$  ${\frac {4}{3}}$  $1$  ${\frac {10}{7}}$  ${\frac {29}{25}}$  ${\frac {10}{9}}$  ${\frac {7}{8}}$  $2$  ${\frac {1}{2}}$  ${\frac {1}{2}}$  $1$  $1$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {7}{8}}-{\frac {3}{4}}$

b) ${\frac {5}{3}}-{\frac {7}{6}}$

c) ${\frac {8}{9}}+{\frac {2}{3}}$

d) ${\frac {3}{2}}+{\frac {13}{10}}$

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

f) ${\frac {1}{2}}-{\frac {5}{14}}$

g) ${\frac {3}{10}}+{\frac {11}{30}}$

h) ${\frac {20}{21}}-{\frac {2}{3}}$

2.

a) ${\frac {13}{6}}-{\frac {5}{3}}$

b) ${\frac {19}{4}}-{\frac {5}{2}}$

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

d) ${\frac {1}{2}}-{\frac {1}{14}}$

e) ${\frac {2}{9}}+{\frac {4}{3}}$

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

g) ${\frac {11}{24}}-{\frac {1}{3}}$

h) ${\frac {4}{7}}-{\frac {5}{28}}$

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

j) ${\frac {7}{2}}+{\frac {19}{4}}$

k) ${\frac {5}{2}}+{\frac {20}{8}}$

l) ${\frac {1}{4}}+{\frac {5}{28}}$

3.

a) ${\frac {1}{5}}+{\frac {1}{4}}+{\frac {11}{20}}$

b) ${\frac {1}{2}}+{\frac {1}{3}}-{\frac {7}{12}}$

c) ${\frac {7}{24}}+{\frac {5}{6}}+{\frac {3}{4}}$

d) ${\frac {1}{2}}-{\frac {4}{3}}+{\frac {17}{6}}$

e) ${\frac {3}{8}}-{\frac {1}{24}}+{\frac {2}{3}}$

f) ${\frac {11}{4}}-{\frac {1}{2}}+{\frac {11}{4}}$

g) ${\frac {7}{10}}+{\frac {4}{5}}+{\frac {3}{2}}$

h) ${\frac {1}{2}}+{\frac {7}{20}}-{\frac {1}{4}}$

i) ${\frac {13}{6}}-{\frac {3}{2}}+{\frac {1}{3}}$

4.

a) ${\frac {7}{4}}+{\frac {13}{8}}-{\frac {5}{2}}$

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

c) ${\frac {3}{10}}+{\frac {7}{5}}-{\frac {1}{2}}$

d) ${\frac {5}{16}}+{\frac {3}{4}}-{\frac {7}{8}}$

e) ${\frac {1}{18}}-{\frac {1}{3}}+{\frac {1}{2}}$

f) ${\frac {11}{15}}-{\frac {1}{3}}+{\frac {2}{5}}$

g) ${\frac {1}{4}}+{\frac {2}{7}}+{\frac {13}{28}}$

h) ${\frac {11}{16}}-{\frac {1}{2}}+{\frac {1}{4}}$

i) ${\frac {1}{2}}+{\frac {19}{6}}+{\frac {1}{3}}$

Lösungen

1-2: ${\frac {4}{25}}$  ${\frac {1}{2}}$  ${\frac {2}{3}}$  ${\frac {3}{4}}$  ${\frac {1}{3}}$  ${\frac {1}{2}}$  ${\frac {3}{4}}$  ${\frac {14}{5}}$  ${\frac {1}{5}}$  ${\frac {4}{9}}$  $4$  ${\frac {19}{8}}$  ${\frac {1}{4}}$  ${\frac {11}{28}}$  ${\frac {1}{8}}$  ${\frac {1}{2}}$  ${\frac {1}{2}}$  ${\frac {1}{8}}$  $1$  ${\frac {23}{24}}$  ${\frac {3}{7}}$  ${\frac {2}{7}}$  ${\frac {1}{7}}$  ${\frac {13}{8}}$  ${\frac {14}{9}}$  $5$  ${\frac {28}{9}}$  ${\frac {2}{3}}$  ${\frac {1}{16}}$  ${\frac {9}{16}}$  ${\frac {33}{4}}$  ${\frac {5}{3}}$  ${\frac {2}{3}}$  ${\frac {13}{4}}$  ${\frac {9}{4}}$  ${\frac {14}{9}}$  ${\frac {3}{7}}$  ${\frac {13}{9}}$  ${\frac {11}{4}}$  ${\frac {5}{4}}$  3-4: ${\frac {2}{3}}$  ${\frac {15}{8}}$  $3$  ${\frac {8}{3}}$  ${\frac {13}{16}}$  ${\frac {5}{4}}$  ${\frac {1}{3}}$  $2$  ${\frac {21}{16}}$  ${\frac {2}{3}}$  ${\frac {6}{5}}$  ${\frac {9}{4}}$  $4$  $1$  ${\frac {1}{4}}$  $4$  ${\frac {43}{4}}$  ${\frac {3}{16}}$  ${\frac {4}{5}}$  ${\frac {17}{8}}$  ${\frac {2}{9}}$  ${\frac {7}{8}}$  $5$  ${\frac {9}{2}}$  $1$  ${\frac {11}{9}}$  ${\frac {17}{8}}$  ${\frac {3}{5}}$  ${\frac {33}{8}}$  $1$  $4$  $1$  ${\frac {5}{9}}$  $1$  $1$  $1$  ${\frac {7}{16}}$  $4$  ${\frac {15}{8}}$  ${\frac {7}{10}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {11}{9}}-{\frac {1}{3}}$

b) ${\frac {14}{12}}-{\frac {2}{3}}$

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

d) ${\frac {4}{3}}+{\frac {17}{12}}$

e) ${\frac {3}{5}}-{\frac {2}{25}}$

f) ${\frac {7}{24}}+{\frac {3}{4}}$

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

h) ${\frac {4}{5}}+{\frac {17}{25}}$

2.

a) ${\frac {1}{3}}+{\frac {19}{15}}$

b) ${\frac {2}{3}}-{\frac {5}{9}}$

c) ${\frac {5}{2}}-{\frac {11}{8}}$

d) ${\frac {7}{3}}+{\frac {7}{6}}$

e) ${\frac {4}{3}}-{\frac {4}{9}}$

f) ${\frac {3}{4}}+{\frac {19}{24}}$

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

h) ${\frac {3}{4}}+{\frac {7}{2}}$

i) ${\frac {3}{2}}-{\frac {11}{12}}$

j) ${\frac {1}{12}}+{\frac {5}{4}}$

k) ${\frac {3}{4}}+{\frac {1}{20}}$

l) ${\frac {1}{3}}-{\frac {1}{18}}$

3.

a) ${\frac {10}{21}}+{\frac {2}{3}}-{\frac {4}{7}}$

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

c) ${\frac {2}{3}}-{\frac {19}{24}}+{\frac {5}{8}}$

d) ${\frac {1}{2}}+{\frac {5}{4}}+{\frac {13}{12}}$

e) ${\frac {15}{16}}-{\frac {3}{4}}+{\frac {1}{2}}$

f) ${\frac {12}{28}}+{\frac {1}{4}}+{\frac {1}{4}}$

g) ${\frac {19}{12}}+{\frac {1}{2}}-{\frac {5}{6}}$

h) ${\frac {1}{2}}+{\frac {9}{2}}-{\frac {7}{4}}$

i) ${\frac {11}{24}}-{\frac {1}{6}}+{\frac {1}{3}}$

4.

a) ${\frac {2}{2}}-{\frac {3}{4}}+{\frac {19}{20}}$

b) ${\frac {4}{3}}+{\frac {11}{12}}-{\frac {5}{4}}$

c) ${\frac {2}{3}}+{\frac {8}{9}}+{\frac {2}{3}}$

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

e) ${\frac {1}{2}}+{\frac {7}{4}}-{\frac {5}{8}}$

f) ${\frac {5}{2}}-{\frac {11}{6}}+{\frac {1}{3}}$

g) ${\frac {1}{4}}+{\frac {7}{8}}-{\frac {8}{16}}$

h) ${\frac {4}{3}}+{\frac {17}{15}}-{\frac {4}{5}}$

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

Lösungen

1-2: ${\frac {1}{3}}$  ${\frac {11}{4}}$  ${\frac {13}{25}}$  ${\frac {35}{16}}$  ${\frac {3}{2}}$  ${\frac {1}{2}}$  ${\frac {1}{2}}$  ${\frac {11}{4}}$  ${\frac {1}{3}}$  ${\frac {1}{9}}$  ${\frac {7}{2}}$  ${\frac {1}{4}}$  ${\frac {21}{4}}$  ${\frac {4}{3}}$  ${\frac {8}{9}}$  ${\frac {5}{3}}$  ${\frac {37}{25}}$  ${\frac {8}{9}}$  ${\frac {9}{8}}$  ${\frac {1}{28}}$  ${\frac {37}{24}}$  ${\frac {3}{16}}$  ${\frac {8}{5}}$  ${\frac {9}{16}}$  ${\frac {17}{4}}$  ${\frac {7}{12}}$  ${\frac {11}{3}}$  ${\frac {3}{8}}$  ${\frac {7}{3}}$  ${\frac {1}{3}}$  ${\frac {19}{9}}$  ${\frac {1}{2}}$  ${\frac {23}{4}}$  ${\frac {5}{2}}$  ${\frac {25}{24}}$  ${\frac {4}{3}}$  ${\frac {3}{16}}$  ${\frac {5}{18}}$  ${\frac {9}{16}}$  ${\frac {4}{5}}$  3-4: $2$  ${\frac {4}{7}}$  ${\frac {13}{14}}$  ${\frac {2}{3}}$  ${\frac {2}{9}}$  ${\frac {10}{7}}$  ${\frac {1}{2}}$  ${\frac {11}{16}}$  ${\frac {6}{5}}$  $1$  ${\frac {13}{8}}$  $2$  ${\frac {5}{9}}$  $1$  ${\frac {9}{5}}$  $1$  ${\frac {5}{8}}$  ${\frac {20}{9}}$  ${\frac {5}{6}}$  ${\frac {7}{4}}$  $6$  ${\frac {6}{5}}$  ${\frac {5}{4}}$  ${\frac {2}{3}}$  ${\frac {5}{8}}$  ${\frac {5}{3}}$  ${\frac {5}{7}}$  $2$  ${\frac {9}{4}}$  ${\frac {13}{4}}$  $1$  ${\frac {17}{6}}$  ${\frac {1}{3}}$  ${\frac {21}{2}}$  ${\frac {7}{5}}$  ${\frac {1}{2}}$  $6$  $1$  ${\frac {1}{16}}$  ${\frac {5}{3}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {3}{4}}+{\frac {11}{8}}$

b) ${\frac {19}{9}}-{\frac {1}{3}}$

c) ${\frac {19}{16}}-{\frac {3}{4}}$

d) ${\frac {1}{3}}-{\frac {1}{21}}$

e) ${\frac {11}{25}}-{\frac {2}{5}}$

f) ${\frac {1}{4}}+{\frac {17}{16}}$

g) ${\frac {1}{16}}+{\frac {1}{2}}$

h) ${\frac {10}{9}}+{\frac {2}{3}}$

2.

a) ${\frac {1}{6}}+{\frac {11}{18}}$

b) ${\frac {5}{4}}-{\frac {19}{16}}$

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

d) ${\frac {11}{16}}-{\frac {1}{4}}$

e) ${\frac {1}{15}}+{\frac {3}{5}}$

f) ${\frac {7}{12}}-{\frac {1}{3}}$

g) ${\frac {5}{3}}-{\frac {7}{12}}$

h) ${\frac {11}{8}}-{\frac {5}{4}}$

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

j) ${\frac {5}{2}}-{\frac {1}{4}}$

k) ${\frac {11}{4}}+{\frac {5}{2}}$

l) ${\frac {3}{4}}+{\frac {7}{16}}$

3.

a) ${\frac {13}{8}}+{\frac {5}{2}}-{\frac {9}{4}}$

b) ${\frac {9}{20}}-{\frac {1}{4}}+{\frac {2}{5}}$

c) ${\frac {5}{2}}+{\frac {4}{3}}-{\frac {13}{6}}$

d) ${\frac {2}{3}}-{\frac {3}{4}}+{\frac {19}{12}}$

e) ${\frac {1}{4}}+{\frac {15}{28}}+{\frac {1}{2}}$

f) ${\frac {13}{20}}+{\frac {3}{5}}-{\frac {3}{4}}$

g) ${\frac {9}{7}}+{\frac {5}{7}}+{\frac {3}{14}}$

h) ${\frac {2}{4}}+{\frac {3}{16}}+{\frac {1}{2}}$

i) ${\frac {4}{3}}+{\frac {13}{6}}-{\frac {1}{2}}$

4.

a) ${\frac {1}{2}}-{\frac {3}{5}}+{\frac {11}{10}}$

b) ${\frac {1}{4}}+{\frac {1}{2}}+{\frac {15}{8}}$

c) ${\frac {5}{16}}+{\frac {3}{8}}+{\frac {1}{2}}$

d) ${\frac {17}{20}}+{\frac {2}{5}}-{\frac {1}{4}}$

e) ${\frac {1}{2}}-{\frac {17}{14}}+{\frac {9}{7}}$

f) ${\frac {1}{2}}-{\frac {1}{4}}+{\frac {5}{28}}$

g) ${\frac {2}{3}}-{\frac {13}{6}}+{\frac {4}{2}}$

h) ${\frac {19}{30}}-{\frac {1}{3}}+{\frac {1}{2}}$

i) ${\frac {1}{5}}+{\frac {19}{10}}+{\frac {1}{2}}$

Lösungen

1-2: ${\frac {29}{8}}$  ${\frac {16}{9}}$  ${\frac {17}{8}}$  ${\frac {1}{3}}$  ${\frac {3}{8}}$  ${\frac {11}{2}}$  ${\frac {4}{7}}$  ${\frac {2}{7}}$  ${\frac {15}{4}}$  ${\frac {9}{16}}$  ${\frac {7}{16}}$  ${\frac {7}{4}}$  ${\frac {7}{2}}$  ${\frac {15}{4}}$  ${\frac {21}{16}}$  ${\frac {13}{12}}$  ${\frac {1}{16}}$  ${\frac {2}{3}}$  ${\frac {7}{2}}$  ${\frac {13}{8}}$  ${\frac {21}{4}}$  ${\frac {3}{2}}$  ${\frac {16}{9}}$  ${\frac {3}{5}}$  ${\frac {1}{4}}$  ${\frac {9}{4}}$  ${\frac {5}{8}}$  ${\frac {7}{9}}$  ${\frac {1}{16}}$  ${\frac {19}{24}}$  ${\frac {1}{8}}$  ${\frac {1}{25}}$  ${\frac {7}{8}}$  ${\frac {1}{6}}$  ${\frac {1}{5}}$  ${\frac {7}{16}}$  ${\frac {1}{6}}$  ${\frac {19}{16}}$  ${\frac {1}{8}}$  ${\frac {3}{7}}$  3-4: ${\frac {5}{9}}$  ${\frac {15}{8}}$  ${\frac {1}{2}}$  $1$  ${\frac {7}{4}}$  $1$  ${\frac {29}{4}}$  ${\frac {9}{7}}$  ${\frac {1}{2}}$  $1$  ${\frac {21}{8}}$  $3$  ${\frac {3}{4}}$  ${\frac {1}{2}}$  ${\frac {3}{5}}$  ${\frac {3}{7}}$  ${\frac {31}{14}}$  $1$  ${\frac {19}{16}}$  ${\frac {7}{8}}$  ${\frac {4}{7}}$  ${\frac {19}{16}}$  ${\frac {7}{2}}$  $3$  $1$  ${\frac {4}{5}}$  $1$  ${\frac {4}{3}}$  $1$  ${\frac {7}{2}}$  ${\frac {13}{5}}$  ${\frac {3}{2}}$  $1$  ${\frac {6}{7}}$  $3$  ${\frac {5}{3}}$  ${\frac {3}{4}}$  ${\frac {39}{16}}$  ${\frac {3}{4}}$  ${\frac {2}{5}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {16}{9}}+{\frac {2}{3}}$

b) ${\frac {1}{3}}+{\frac {1}{18}}$

c) ${\frac {17}{9}}+{\frac {5}{3}}$

d) ${\frac {2}{3}}-{\frac {5}{21}}$

e) ${\frac {3}{2}}+{\frac {11}{10}}$

f) ${\frac {2}{5}}-{\frac {3}{20}}$

g) ${\frac {9}{16}}+{\frac {1}{4}}$

h) ${\frac {3}{8}}-{\frac {1}{24}}$

2.

a) ${\frac {19}{28}}-{\frac {3}{7}}$

b) ${\frac {16}{25}}-{\frac {3}{5}}$

c) ${\frac {14}{9}}-{\frac {4}{3}}$

d) ${\frac {9}{16}}+{\frac {1}{4}}$

e) ${\frac {15}{16}}-{\frac {1}{2}}$

f) ${\frac {17}{14}}+{\frac {2}{7}}$

g) ${\frac {3}{4}}+{\frac {3}{16}}$

h) ${\frac {4}{3}}-{\frac {10}{12}}$

i) ${\frac {19}{10}}-{\frac {7}{5}}$

j) ${\frac {17}{12}}+{\frac {4}{3}}$

k) ${\frac {19}{28}}-{\frac {1}{4}}$

l) ${\frac {1}{6}}+{\frac {5}{2}}$

3.

a) ${\frac {2}{3}}+{\frac {3}{2}}+{\frac {13}{12}}$

b) ${\frac {7}{4}}+{\frac {5}{2}}-{\frac {3}{2}}$

c) ${\frac {11}{15}}+{\frac {1}{3}}-{\frac {2}{3}}$

d) ${\frac {15}{4}}-{\frac {1}{2}}+{\frac {7}{4}}$

e) ${\frac {1}{4}}-{\frac {1}{3}}+{\frac {13}{12}}$

f) ${\frac {9}{2}}-{\frac {5}{2}}-{\frac {7}{4}}$

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

h) ${\frac {2}{3}}+{\frac {3}{5}}+{\frac {16}{15}}$

i) ${\frac {17}{20}}-{\frac {1}{2}}-{\frac {1}{10}}$

4.

a) ${\frac {3}{4}}+{\frac {3}{2}}-{\frac {1}{8}}$

b) ${\frac {14}{9}}+{\frac {5}{3}}-{\frac {1}{3}}$

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

d) ${\frac {1}{3}}-{\frac {5}{27}}+{\frac {5}{9}}$

e) ${\frac {5}{4}}-{\frac {5}{8}}+{\frac {5}{2}}$

f) ${\frac {4}{3}}-{\frac {11}{6}}+{\frac {5}{2}}$

g) ${\frac {3}{2}}-{\frac {3}{4}}+{\frac {7}{12}}$

h) ${\frac {3}{2}}+{\frac {13}{4}}-{\frac {1}{2}}$

i) ${\frac {5}{2}}-{\frac {13}{8}}+{\frac {8}{4}}$

Lösungen

1-2: ${\frac {3}{2}}$  ${\frac {32}{9}}$  ${\frac {3}{7}}$  ${\frac {23}{16}}$  ${\frac {1}{2}}$  ${\frac {1}{10}}$  ${\frac {4}{3}}$  ${\frac {7}{18}}$  $1$  ${\frac {2}{3}}$  ${\frac {7}{16}}$  $1$  ${\frac {15}{16}}$  ${\frac {15}{16}}$  ${\frac {1}{3}}$  ${\frac {8}{3}}$  ${\frac {13}{5}}$  ${\frac {13}{16}}$  ${\frac {2}{9}}$  ${\frac {5}{16}}$  ${\frac {3}{2}}$  ${\frac {13}{16}}$  ${\frac {7}{9}}$  ${\frac {1}{25}}$  ${\frac {1}{2}}$  ${\frac {11}{4}}$  ${\frac {1}{3}}$  ${\frac {1}{4}}$  ${\frac {1}{2}}$  $1$  ${\frac {1}{2}}$  ${\frac {22}{9}}$  ${\frac {1}{2}}$  ${\frac {1}{9}}$  ${\frac {4}{3}}$  ${\frac {1}{4}}$  ${\frac {11}{4}}$  ${\frac {3}{7}}$  ${\frac {1}{3}}$  ${\frac {13}{8}}$  3-4: $4$  ${\frac {2}{5}}$  $3$  ${\frac {31}{8}}$  ${\frac {13}{4}}$  ${\frac {23}{8}}$  ${\frac {11}{4}}$  ${\frac {7}{3}}$  ${\frac {17}{8}}$  ${\frac {7}{8}}$  $3$  $1$  ${\frac {41}{4}}$  $3$  ${\frac {11}{4}}$  $2$  ${\frac {1}{4}}$  ${\frac {26}{9}}$  ${\frac {19}{27}}$  ${\frac {31}{9}}$  $2$  $5$  ${\frac {17}{8}}$  $2$  ${\frac {25}{8}}$  ${\frac {4}{3}}$  $5$  ${\frac {1}{3}}$  $1$  ${\frac {7}{9}}$  $1$  ${\frac {13}{4}}$  $1$  ${\frac {4}{5}}$  ${\frac {1}{4}}$  $1$  ${\frac {17}{4}}$  $1$  $2$  ${\frac {13}{24}}$ 

Berechne und kürze wenn möglich.

1.

a) ${\frac {17}{6}}-{\frac {5}{2}}$

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

c) ${\frac {8}{5}}-{\frac {11}{10}}$

d) ${\frac {7}{12}}-{\frac {1}{3}}$

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

f) ${\frac {3}{4}}+{\frac {19}{24}}$

g) ${\frac {1}{4}}-{\frac {3}{24}}$

h) ${\frac {5}{12}}+{\frac {5}{4}}$

2.

a) ${\frac {7}{9}}-{\frac {1}{3}}$

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

c) ${\frac {19}{6}}-{\frac {1}{2}}$

d) ${\frac {5}{3}}-{\frac {10}{9}}$

e) ${\frac {11}{12}}-{\frac {1}{4}}$

f) ${\frac {11}{24}}-{\frac {1}{4}}$

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

h) ${\frac {19}{12}}-{\frac {5}{4}}$

i) ${\frac {17}{18}}-{\frac {5}{6}}$

j) ${\frac {2}{16}}+{\frac {1}{4}}$

k) ${\frac {9}{20}}+{\frac {2}{5}}$

l) ${\frac {4}{3}}-{\frac {10}{9}}$

3.

a) ${\frac {1}{7}}-{\frac {5}{28}}+{\frac {2}{7}}$

b) ${\frac {11}{30}}+{\frac {3}{10}}+{\frac {1}{2}}$

c) ${\frac {13}{16}}+{\frac {5}{4}}+{\frac {1}{2}}$

d) ${\frac {9}{14}}+{\frac {1}{2}}-{\frac {1}{7}}$

e) ${\frac {6}{7}}+{\frac {1}{3}}-{\frac {11}{21}}$

f) ${\frac {3}{2}}-{\frac {3}{4}}+{\frac {11}{12}}$

g) ${\frac {13}{14}}+{\frac {4}{7}}-{\frac {1}{2}}$

h) ${\frac {5}{4}}+{\frac {1}{2}}-{\frac {3}{16}}$

i) ${\frac {5}{4}}+{\frac {9}{8}}-{\frac {1}{2}}$

4.

a) ${\frac {4}{3}}-{\frac {19}{15}}+{\frac {1}{3}}$

b) ${\frac {10}{21}}-{\frac {1}{7}}+{\frac {1}{3}}$

c) ${\frac {2}{3}}+{\frac {2}{3}}+{\frac {17}{21}}$

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

e) ${\frac {5}{3}}+{\frac {5}{2}}-{\frac {19}{6}}$

f) ${\frac {10}{9}}-{\frac {1}{3}}-{\frac {1}{3}}$

g) ${\frac {19}{18}}-{\frac {1}{3}}+{\frac {5}{6}}$

h) ${\frac {5}{4}}-{\frac {19}{8}}+{\frac {5}{2}}$

i) ${\frac {15}{8}}+{\frac {3}{4}}+{\frac {3}{2}}$

Lösungen

1-2: ${\frac {6}{5}}$  ${\frac {5}{3}}$  ${\frac {37}{24}}$  ${\frac {8}{9}}$  ${\frac {3}{16}}$  ${\frac {1}{2}}$  ${\frac {13}{8}}$  ${\frac {1}{4}}$  ${\frac {7}{5}}$  ${\frac {14}{5}}$  ${\frac {8}{3}}$  ${\frac {4}{3}}$  ${\frac {7}{16}}$  ${\frac {1}{9}}$  ${\frac {1}{3}}$  ${\frac {2}{3}}$  ${\frac {5}{3}}$  ${\frac {5}{9}}$  ${\frac {1}{3}}$  ${\frac {13}{8}}$  ${\frac {5}{24}}$  ${\frac {1}{8}}$  ${\frac {1}{2}}$  ${\frac {5}{4}}$  ${\frac {29}{8}}$  ${\frac {3}{8}}$  ${\frac {9}{2}}$  ${\frac {5}{3}}$  ${\frac {7}{4}}$  ${\frac {3}{2}}$  ${\frac {17}{20}}$  ${\frac {9}{25}}$  ${\frac {37}{8}}$  ${\frac {3}{25}}$  ${\frac {4}{9}}$  ${\frac {1}{2}}$  ${\frac {2}{9}}$  ${\frac {23}{16}}$  ${\frac {35}{12}}$  ${\frac {1}{2}}$  3-4: ${\frac {13}{27}}$  ${\frac {1}{4}}$  $1$  $2$  ${\frac {4}{3}}$  $11$  $2$  ${\frac {2}{3}}$  $3$  $1$  ${\frac {14}{9}}$  ${\frac {8}{3}}$  $2$  ${\frac {33}{8}}$  $1$  ${\frac {4}{9}}$  ${\frac {25}{16}}$  ${\frac {15}{7}}$  ${\frac {2}{3}}$  $3$  ${\frac {5}{4}}$  ${\frac {15}{8}}$  ${\frac {41}{16}}$  ${\frac {1}{2}}$  $1$  ${\frac {25}{8}}$  ${\frac {1}{4}}$  ${\frac {2}{5}}$  $3$  ${\frac {7}{2}}$  ${\frac {5}{2}}$  ${\frac {5}{3}}$  $2$  ${\frac {7}{5}}$  $2$  ${\frac {7}{6}}$  ${\frac {11}{8}}$  ${\frac {2}{3}}$  ${\frac {13}{8}}$  ${\frac {27}{28}}$