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

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Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {3}{10}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{10}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {3}{8}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {2}{15}}}$
f) ${\displaystyle {\frac {1}{6}}+{\frac {5}{9}}}$
g) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$

2.

a) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {3}{14}}+{\frac {1}{4}}}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {5}{6}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {1}{14}}}$
f) ${\displaystyle {\frac {3}{10}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
h) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}}$
i) ${\displaystyle {\frac {5}{12}}+{\frac {1}{8}}}$
j) ${\displaystyle {\frac {1}{10}}+{\frac {1}{15}}}$
k) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}}$
l) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}}$

3.

a) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}+{\frac {2}{3}}}$
b) ${\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}}$
c) ${\displaystyle {\frac {3}{20}}+{\frac {1}{10}}+{\frac {1}{8}}}$
d) ${\displaystyle {\frac {1}{10}}+{\frac {1}{5}}+{\frac {4}{25}}}$
e) ${\displaystyle {\frac {2}{9}}+{\frac {1}{6}}+{\frac {1}{12}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{12}}}$
g) ${\displaystyle {\frac {1}{12}}+{\frac {1}{8}}+{\frac {3}{16}}}$
h) ${\displaystyle {\frac {5}{6}}+{\frac {10}{9}}+{\frac {1}{2}}}$
i) ${\displaystyle {\frac {3}{10}}+{\frac {1}{5}}+{\frac {1}{4}}}$

4.

a) ${\displaystyle {\frac {5}{4}}+{\frac {1}{6}}+{\frac {3}{2}}+{\frac {1}{3}}}$
b) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}+{\frac {1}{2}}+{\frac {1}{3}}}$
c) ${\displaystyle {\frac {1}{16}}+{\frac {1}{8}}+{\frac {1}{12}}+{\frac {1}{24}}}$
d) ${\displaystyle {\frac {7}{12}}+{\frac {1}{8}}+{\frac {2}{3}}+{\frac {1}{6}}}$
e) ${\displaystyle {\frac {3}{10}}+{\frac {1}{5}}+{\frac {1}{4}}+{\frac {1}{2}}}$
f) ${\displaystyle {\frac {1}{6}}+{\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{24}}}$
g) ${\displaystyle {\frac {1}{12}}+{\frac {1}{18}}+{\frac {1}{4}}+{\frac {1}{9}}}$
h) ${\displaystyle {\frac {3}{14}}+{\frac {1}{6}}+{\frac {1}{7}}+{\frac {10}{21}}}$
i) ${\displaystyle {\frac {2}{5}}+{\frac {1}{10}}+{\frac {1}{6}}+{\frac {1}{15}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {2}{15}}}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
e) ${\displaystyle {\frac {3}{4}}+{\frac {5}{6}}}$
f) ${\displaystyle {\frac {1}{8}}+{\frac {1}{12}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$

2.

a) ${\displaystyle {\frac {1}{14}}+{\frac {1}{4}}}$
b) ${\displaystyle {\frac {1}{12}}+{\frac {1}{8}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {3}{10}}}$
d) ${\displaystyle {\frac {3}{4}}+{\frac {5}{6}}}$
e) ${\displaystyle {\frac {1}{14}}+{\frac {1}{4}}}$
f) ${\displaystyle {\frac {2}{15}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {1}{8}}+{\frac {1}{12}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {4}{9}}}$
i) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
j) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
k) ${\displaystyle {\frac {1}{10}}+{\frac {1}{4}}}$
l) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$

3.

a) ${\displaystyle {\frac {1}{14}}+{\frac {1}{7}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{16}}+{\frac {3}{8}}+{\frac {1}{12}}}$
c) ${\displaystyle {\frac {1}{8}}+{\frac {1}{12}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {2}{15}}+{\frac {1}{5}}+{\frac {4}{9}}}$
e) ${\displaystyle {\frac {3}{14}}+{\frac {1}{6}}+{\frac {2}{7}}}$
f) ${\displaystyle {\frac {3}{10}}+{\frac {2}{15}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {3}{4}}+{\frac {1}{10}}+{\frac {2}{5}}}$
h) ${\displaystyle {\frac {1}{12}}+{\frac {1}{18}}+{\frac {1}{4}}}$
i) ${\displaystyle {\frac {1}{2}}+{\frac {1}{6}}+{\frac {1}{4}}}$

4.

a) ${\displaystyle {\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{5}}+{\frac {3}{10}}}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {3}{14}}+{\frac {4}{21}}+{\frac {1}{7}}}$
c) ${\displaystyle {\frac {1}{7}}+{\frac {5}{14}}+{\frac {1}{6}}+{\frac {1}{21}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{2}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {1}{12}}+{\frac {3}{16}}+{\frac {1}{8}}}$
f) ${\displaystyle {\frac {3}{2}}+{\frac {1}{6}}+{\frac {1}{4}}+{\frac {4}{3}}}$
g) ${\displaystyle {\frac {1}{6}}+{\frac {1}{24}}+{\frac {5}{12}}+{\frac {1}{16}}}$
h) ${\displaystyle {\frac {2}{7}}+{\frac {1}{6}}+{\frac {10}{21}}+{\frac {1}{14}}}$
i) ${\displaystyle {\frac {1}{6}}+{\frac {1}{2}}+{\frac {3}{4}}+{\frac {1}{3}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {1}{6}}+{\frac {2}{15}}}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}}$
c) ${\displaystyle {\frac {3}{10}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {1}{10}}+{\frac {1}{6}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {5}{9}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {5}{6}}}$
g) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
h) ${\displaystyle {\frac {1}{10}}+{\frac {1}{6}}}$

2.

a) ${\displaystyle {\frac {3}{4}}+{\frac {5}{6}}}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {2}{15}}}$
d) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}}$
e) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
f) ${\displaystyle {\frac {1}{6}}+{\frac {1}{10}}}$
g) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {5}{9}}+{\frac {1}{6}}}$
i) ${\displaystyle {\frac {1}{12}}+{\frac {1}{8}}}$
j) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}}$
k) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}}$
l) ${\displaystyle {\frac {1}{6}}+{\frac {1}{10}}}$

3.

a) ${\displaystyle {\frac {1}{3}}+{\frac {1}{6}}+{\frac {10}{9}}}$
b) ${\displaystyle {\frac {1}{18}}+{\frac {1}{6}}+{\frac {1}{4}}}$
c) ${\displaystyle {\frac {3}{16}}+{\frac {7}{24}}+{\frac {1}{12}}}$
d) ${\displaystyle {\frac {1}{25}}+{\frac {1}{10}}+{\frac {1}{5}}}$
e) ${\displaystyle {\frac {2}{5}}+{\frac {2}{25}}+{\frac {1}{10}}}$
f) ${\displaystyle {\frac {1}{18}}+{\frac {1}{4}}+{\frac {5}{12}}}$
g) ${\displaystyle {\frac {4}{7}}+{\frac {1}{4}}+{\frac {3}{14}}}$
h) ${\displaystyle {\frac {1}{12}}+{\frac {1}{6}}+{\frac {3}{16}}}$
i) ${\displaystyle {\frac {3}{16}}+{\frac {1}{12}}+{\frac {1}{6}}}$

4.

a) ${\displaystyle {\frac {1}{20}}+{\frac {1}{8}}+{\frac {1}{5}}+{\frac {1}{4}}}$
b) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{2}}+{\frac {1}{3}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{5}}+{\frac {7}{15}}+{\frac {1}{3}}}$
d) ${\displaystyle {\frac {9}{10}}+{\frac {1}{4}}+{\frac {3}{5}}+{\frac {1}{2}}}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {1}{12}}+{\frac {5}{18}}+{\frac {2}{9}}}$
f) ${\displaystyle {\frac {5}{9}}+{\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{12}}}$
g) ${\displaystyle {\frac {1}{20}}+{\frac {3}{8}}+{\frac {1}{5}}+{\frac {1}{4}}}$
h) ${\displaystyle {\frac {5}{16}}+{\frac {5}{12}}+{\frac {1}{6}}+{\frac {1}{24}}}$
i) ${\displaystyle {\frac {7}{18}}+{\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{9}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{15}}+{\frac {3}{10}}}$
d) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}}$
f) ${\displaystyle {\frac {1}{6}}+{\frac {3}{8}}}$
g) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$

2.

a) ${\displaystyle {\frac {2}{9}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
d) ${\displaystyle {\frac {1}{10}}+{\frac {1}{15}}}$
e) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
f) ${\displaystyle {\frac {3}{8}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{12}}+{\frac {3}{8}}}$
i) ${\displaystyle {\frac {1}{6}}+{\frac {2}{15}}}$
j) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$
k) ${\displaystyle {\frac {1}{6}}+{\frac {3}{10}}}$
l) ${\displaystyle {\frac {5}{9}}+{\frac {1}{6}}}$

3.

a) ${\displaystyle {\frac {1}{6}}+{\frac {5}{9}}+{\frac {1}{2}}}$
b) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}+{\frac {1}{4}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {2}{9}}}$
d) ${\displaystyle {\frac {2}{9}}+{\frac {1}{6}}+{\frac {2}{3}}}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {5}{12}}+{\frac {1}{18}}}$
f) ${\displaystyle {\frac {3}{16}}+{\frac {1}{6}}+{\frac {1}{12}}}$
g) ${\displaystyle {\frac {1}{8}}+{\frac {1}{10}}+{\frac {1}{4}}}$
h) ${\displaystyle {\frac {1}{15}}+{\frac {1}{3}}+{\frac {1}{10}}}$
i) ${\displaystyle {\frac {1}{6}}+{\frac {1}{14}}+{\frac {2}{21}}}$

4.

a) ${\displaystyle {\frac {1}{3}}+{\frac {1}{10}}+{\frac {1}{15}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{10}}+{\frac {8}{15}}+{\frac {1}{5}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {5}{12}}+{\frac {1}{24}}+{\frac {5}{16}}}$
d) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{2}}}$
e) ${\displaystyle {\frac {1}{16}}+{\frac {1}{6}}+{\frac {1}{8}}+{\frac {1}{12}}}$
f) ${\displaystyle {\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}+{\frac {1}{2}}}$
g) ${\displaystyle {\frac {3}{4}}+{\frac {1}{3}}+{\frac {1}{6}}+{\frac {1}{2}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {1}{10}}+{\frac {1}{5}}+{\frac {2}{15}}}$
i) ${\displaystyle {\frac {1}{15}}+{\frac {1}{6}}+{\frac {3}{5}}+{\frac {2}{3}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {1}{15}}+{\frac {1}{10}}}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {1}{15}}}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}}$
d) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
e) ${\displaystyle {\frac {1}{8}}+{\frac {1}{12}}}$
f) ${\displaystyle {\frac {5}{12}}+{\frac {3}{8}}}$
g) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {2}{9}}}$

2.

a) ${\displaystyle {\frac {1}{10}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{15}}+{\frac {1}{10}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {3}{10}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
f) ${\displaystyle {\frac {2}{15}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {1}{6}}+{\frac {2}{15}}}$
h) ${\displaystyle {\frac {1}{4}}+{\frac {3}{14}}}$
i) ${\displaystyle {\frac {2}{9}}+{\frac {1}{6}}}$
j) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}}$
k) ${\displaystyle {\frac {3}{8}}+{\frac {5}{12}}}$
l) ${\displaystyle {\frac {2}{9}}+{\frac {1}{6}}}$

3.

a) ${\displaystyle {\frac {2}{21}}+{\frac {1}{6}}+{\frac {1}{14}}}$
b) ${\displaystyle {\frac {1}{3}}+{\frac {7}{6}}+{\frac {1}{4}}}$
c) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}+{\frac {1}{12}}}$
d) ${\displaystyle {\frac {1}{24}}+{\frac {1}{12}}+{\frac {1}{16}}}$
e) ${\displaystyle {\frac {1}{15}}+{\frac {1}{10}}+{\frac {1}{6}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{18}}}$
g) ${\displaystyle {\frac {5}{6}}+{\frac {1}{4}}+{\frac {2}{3}}}$
h) ${\displaystyle {\frac {1}{4}}+{\frac {7}{18}}+{\frac {1}{9}}}$
i) ${\displaystyle {\frac {3}{2}}+{\frac {1}{6}}+{\frac {5}{4}}}$

4.

a) ${\displaystyle {\frac {1}{8}}+{\frac {5}{6}}+{\frac {1}{3}}+{\frac {1}{12}}}$
b) ${\displaystyle {\frac {5}{9}}+{\frac {5}{12}}+{\frac {5}{18}}+{\frac {1}{4}}}$
c) ${\displaystyle {\frac {1}{9}}+{\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{12}}}$
d) ${\displaystyle {\frac {1}{3}}+{\frac {1}{10}}+{\frac {1}{6}}+{\frac {2}{5}}}$
e) ${\displaystyle {\frac {5}{12}}+{\frac {1}{24}}+{\frac {1}{16}}+{\frac {1}{6}}}$
f) ${\displaystyle {\frac {5}{24}}+{\frac {1}{6}}+{\frac {1}{16}}+{\frac {3}{8}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {9}{20}}+{\frac {1}{10}}+{\frac {3}{8}}}$
h) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}+{\frac {3}{2}}}$
i) ${\displaystyle {\frac {3}{14}}+{\frac {1}{21}}+{\frac {1}{7}}+{\frac {1}{6}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {1}{6}}+{\frac {2}{9}}}$
b) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {2}{9}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {1}{10}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {5}{14}}}$
g) ${\displaystyle {\frac {1}{8}}+{\frac {1}{12}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {4}{15}}}$

2.

a) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {3}{14}}}$
c) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {4}{15}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {5}{6}}}$
h) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}}$
i) ${\displaystyle {\frac {1}{4}}+{\frac {5}{14}}}$
j) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}}$
k) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
l) ${\displaystyle {\frac {1}{12}}+{\frac {3}{8}}}$

3.

a) ${\displaystyle {\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{24}}}$
b) ${\displaystyle {\frac {1}{3}}+{\frac {4}{15}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {3}{2}}+{\frac {5}{4}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{4}}}$
e) ${\displaystyle {\frac {1}{12}}+{\frac {5}{16}}+{\frac {1}{24}}}$
f) ${\displaystyle {\frac {1}{6}}+{\frac {4}{15}}+{\frac {2}{3}}}$
g) ${\displaystyle {\frac {5}{24}}+{\frac {1}{16}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{20}}+{\frac {3}{8}}+{\frac {1}{10}}}$
i) ${\displaystyle {\frac {1}{6}}+{\frac {3}{16}}+{\frac {1}{8}}}$

4.

a) ${\displaystyle {\frac {2}{3}}+{\frac {5}{6}}+{\frac {3}{4}}+{\frac {1}{2}}}$
b) ${\displaystyle {\frac {3}{16}}+{\frac {5}{12}}+{\frac {7}{24}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {5}{8}}+{\frac {1}{3}}+{\frac {5}{12}}}$
d) ${\displaystyle {\frac {1}{10}}+{\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{5}}}$
e) ${\displaystyle {\frac {1}{12}}+{\frac {5}{9}}+{\frac {1}{4}}+{\frac {1}{6}}}$
f) ${\displaystyle {\frac {3}{16}}+{\frac {1}{8}}+{\frac {1}{24}}+{\frac {1}{12}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {5}{9}}+{\frac {1}{12}}+{\frac {5}{18}}}$
h) ${\displaystyle {\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{16}}+{\frac {7}{24}}}$
i) ${\displaystyle {\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{2}}+{\frac {1}{6}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {3}{8}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {3}{8}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
f) ${\displaystyle {\frac {2}{15}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {5}{9}}+{\frac {1}{6}}}$

2.

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}}$
b) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {5}{9}}}$
d) ${\displaystyle {\frac {3}{14}}+{\frac {1}{4}}}$
e) ${\displaystyle {\frac {1}{14}}+{\frac {1}{4}}}$
f) ${\displaystyle {\frac {1}{15}}+{\frac {1}{10}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{8}}+{\frac {1}{6}}}$
i) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
j) ${\displaystyle {\frac {3}{14}}+{\frac {1}{4}}}$
k) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}}$
l) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$

3.

a) ${\displaystyle {\frac {3}{8}}+{\frac {7}{12}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{16}}+{\frac {1}{6}}+{\frac {3}{8}}}$
c) ${\displaystyle {\frac {1}{5}}+{\frac {3}{10}}+{\frac {1}{4}}}$
d) ${\displaystyle {\frac {1}{7}}+{\frac {1}{6}}+{\frac {1}{14}}}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {1}{14}}+{\frac {1}{7}}}$
f) ${\displaystyle {\frac {1}{18}}+{\frac {1}{6}}+{\frac {1}{4}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {1}{12}}+{\frac {1}{18}}}$
h) ${\displaystyle {\frac {5}{6}}+{\frac {10}{9}}+{\frac {1}{2}}}$
i) ${\displaystyle {\frac {4}{21}}+{\frac {1}{6}}+{\frac {1}{14}}}$

4.

a) ${\displaystyle {\frac {1}{4}}+{\frac {4}{9}}+{\frac {1}{18}}+{\frac {5}{12}}}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {5}{18}}+{\frac {1}{12}}}$
c) ${\displaystyle {\frac {2}{15}}+{\frac {1}{10}}+{\frac {1}{6}}+{\frac {2}{5}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{12}}+{\frac {1}{8}}+{\frac {1}{4}}}$
e) ${\displaystyle {\frac {2}{9}}+{\frac {5}{12}}+{\frac {1}{6}}+{\frac {1}{4}}}$
f) ${\displaystyle {\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{9}}+{\frac {1}{4}}}$
g) ${\displaystyle {\frac {1}{15}}+{\frac {1}{10}}+{\frac {1}{3}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{4}}+{\frac {1}{2}}+{\frac {1}{6}}+{\frac {4}{3}}}$
i) ${\displaystyle {\frac {1}{2}}+{\frac {1}{9}}+{\frac {5}{6}}+{\frac {1}{3}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {1}{6}}+{\frac {2}{9}}}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {2}{9}}}$
d) ${\displaystyle {\frac {1}{8}}+{\frac {1}{12}}}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}}$
f) ${\displaystyle {\frac {1}{8}}+{\frac {5}{12}}}$
g) ${\displaystyle {\frac {1}{4}}+{\frac {3}{14}}}$
h) ${\displaystyle {\frac {1}{12}}+{\frac {1}{8}}}$

2.

a) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {5}{6}}}$
c) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {1}{12}}+{\frac {3}{8}}}$
e) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {5}{6}}}$
g) ${\displaystyle {\frac {1}{12}}+{\frac {1}{8}}}$
h) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
i) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}}$
j) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}}$
k) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
l) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}}$

3.

a) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{18}}}$
b) ${\displaystyle {\frac {4}{21}}+{\frac {1}{6}}+{\frac {1}{7}}}$
c) ${\displaystyle {\frac {3}{4}}+{\frac {1}{5}}+{\frac {3}{10}}}$
d) ${\displaystyle {\frac {1}{2}}+{\frac {2}{9}}+{\frac {5}{6}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {3}{4}}}$
f) ${\displaystyle {\frac {1}{5}}+{\frac {1}{10}}+{\frac {7}{25}}}$
g) ${\displaystyle {\frac {7}{9}}+{\frac {1}{3}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {8}{15}}+{\frac {1}{10}}}$
i) ${\displaystyle {\frac {3}{8}}+{\frac {1}{6}}+{\frac {1}{3}}}$

4.

a) ${\displaystyle {\frac {5}{6}}+{\frac {1}{3}}+{\frac {1}{2}}+{\frac {2}{9}}}$
b) ${\displaystyle {\frac {5}{14}}+{\frac {1}{6}}+{\frac {8}{21}}+{\frac {3}{7}}}$
c) ${\displaystyle {\frac {1}{9}}+{\frac {5}{12}}+{\frac {1}{18}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {4}{9}}+{\frac {1}{12}}+{\frac {1}{4}}+{\frac {1}{6}}}$
e) ${\displaystyle {\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{9}}+{\frac {1}{4}}}$
f) ${\displaystyle {\frac {4}{21}}+{\frac {1}{14}}+{\frac {1}{6}}+{\frac {3}{7}}}$
g) ${\displaystyle {\frac {5}{16}}+{\frac {1}{6}}+{\frac {3}{8}}+{\frac {1}{12}}}$
h) ${\displaystyle {\frac {3}{8}}+{\frac {1}{5}}+{\frac {1}{20}}+{\frac {3}{10}}}$
i) ${\displaystyle {\frac {1}{4}}+{\frac {2}{9}}+{\frac {5}{18}}+{\frac {1}{6}}}$

Lösungen

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

Berechne und kürze wenn möglich.

1.

a) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {3}{4}}}$
c) ${\displaystyle {\frac {1}{12}}+{\frac {1}{8}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{15}}}$
e) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}}$
g) ${\displaystyle {\frac {1}{6}}+{\frac {3}{10}}}$
h) ${\displaystyle {\frac {1}{15}}+{\frac {1}{10}}}$

2.

a) ${\displaystyle {\frac {1}{12}}+{\frac {3}{8}}}$
b) ${\displaystyle {\frac {1}{10}}+{\frac {1}{15}}}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {3}{8}}}$
e) ${\displaystyle {\frac {5}{6}}+{\frac {3}{4}}}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {5}{6}}}$
g) ${\displaystyle {\frac {3}{10}}+{\frac {1}{4}}}$
h) ${\displaystyle {\frac {5}{6}}+{\frac {3}{4}}}$
i) ${\displaystyle {\frac {1}{6}}+{\frac {2}{9}}}$
j) ${\displaystyle {\frac {1}{6}}+{\frac {1}{8}}}$
k) ${\displaystyle {\frac {1}{12}}+{\frac {3}{8}}}$
l) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}}$

3.

a) ${\displaystyle {\frac {1}{4}}+{\frac {1}{18}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {3}{7}}+{\frac {8}{21}}+{\frac {5}{14}}}$
c) ${\displaystyle {\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{9}}}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {7}{18}}+{\frac {1}{9}}}$
e) ${\displaystyle {\frac {1}{6}}+{\frac {4}{9}}+{\frac {1}{12}}}$
f) ${\displaystyle {\frac {1}{3}}+{\frac {1}{8}}+{\frac {1}{6}}}$
g) ${\displaystyle {\frac {1}{8}}+{\frac {3}{10}}+{\frac {1}{5}}}$
h) ${\displaystyle {\frac {1}{16}}+{\frac {5}{12}}+{\frac {5}{24}}}$
i) ${\displaystyle {\frac {1}{16}}+{\frac {1}{12}}+{\frac {1}{6}}}$

4.

a) ${\displaystyle {\frac {4}{21}}+{\frac {1}{14}}+{\frac {3}{7}}+{\frac {1}{6}}}$
b) ${\displaystyle {\frac {2}{9}}+{\frac {5}{12}}+{\frac {7}{18}}+{\frac {1}{4}}}$
c) ${\displaystyle {\frac {1}{3}}+{\frac {1}{8}}+{\frac {1}{6}}+{\frac {7}{12}}}$
d) ${\displaystyle {\frac {5}{18}}+{\frac {1}{12}}+{\frac {1}{4}}+{\frac {2}{9}}}$
e) ${\displaystyle {\frac {2}{3}}+{\frac {1}{8}}+{\frac {1}{12}}+{\frac {5}{6}}}$
f) ${\displaystyle {\frac {1}{12}}+{\frac {1}{16}}+{\frac {1}{6}}+{\frac {1}{24}}}$
g) ${\displaystyle {\frac {4}{9}}+{\frac {1}{12}}+{\frac {5}{18}}+{\frac {1}{6}}}$
h) ${\displaystyle {\frac {1}{6}}+{\frac {3}{4}}+{\frac {1}{8}}+{\frac {1}{12}}}$
i) ${\displaystyle {\frac {1}{6}}+{\frac {5}{24}}+{\frac {1}{8}}+{\frac {1}{16}}}$

Lösungen

1-2: ${\displaystyle {\frac {5}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {7}{15}}}$${\displaystyle {\frac {7}{18}}}$${\displaystyle {\frac {13}{28}}}$${\displaystyle {\frac {3}{10}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {7}{30}}}$${\displaystyle {\frac {5}{18}}}$${\displaystyle {\frac {7}{20}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {7}{24}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {7}{24}}}$${\displaystyle {\frac {5}{18}}}$${\displaystyle {\frac {7}{18}}}$${\displaystyle {\frac {7}{20}}}$${\displaystyle {\frac {13}{24}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {5}{12}}}$${\displaystyle {\frac {5}{12}}}$${\displaystyle {\frac {1}{6}}}$${\displaystyle {\frac {5}{18}}}$${\displaystyle {\frac {5}{12}}}$${\displaystyle {\frac {13}{12}}}$${\displaystyle {\frac {11}{24}}}$${\displaystyle {\frac {5}{18}}}$${\displaystyle {\frac {7}{20}}}$${\displaystyle {\frac {1}{6}}}$${\displaystyle {\frac {4}{15}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {1}{6}}}$${\displaystyle {\frac {13}{24}}}$${\displaystyle {\frac {5}{18}}}$${\displaystyle {\frac {11}{24}}}$${\displaystyle {\frac {5}{24}}}$${\displaystyle {\frac {5}{12}}}$${\displaystyle {\frac {7}{24}}}$${\displaystyle {\frac {1}{6}}}$${\displaystyle {\frac {3}{10}}}$  3-4: ${\displaystyle {\frac {6}{7}}}$