# Mathematikunterricht/ Sek/ Brüche/ Ü/ Add3 NennerNeu 20max A4 1

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Übungsbeispiele zur Addition von jeweils 3 Brüchen.

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 5, 5, 1 und 1.

a) ${\displaystyle {\frac {1}{4}}+{\frac {2}{5}}+{\frac {1}{10}}=}$
b) ${\displaystyle {\frac {1}{5}}+{\frac {1}{4}}+{\frac {3}{10}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{2}}+{\frac {1}{4}}=}$
d) ${\displaystyle {\frac {3}{4}}+{\frac {1}{2}}+{\frac {5}{6}}=}$

2. Berechne und kürze mit 5, 5...

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{4}}=}$
b) ${\displaystyle {\frac {3}{10}}+{\frac {1}{5}}+{\frac {1}{4}}=}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{6}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}+{\frac {2}{5}}=}$
f) ${\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}=}$

3. Berechne und kürze mit 5, 3, 3, 5...

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {5}{6}}+{\frac {2}{3}}+{\frac {1}{4}}=}$
c) ${\displaystyle {\frac {1}{10}}+{\frac {2}{5}}+{\frac {1}{4}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}+{\frac {1}{5}}=}$

4. Berechne und kürze mit 3, 3...

a) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{3}}+{\frac {1}{9}}+{\frac {1}{6}}=}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{4}}=}$
e) ${\displaystyle {\frac {1}{2}}+{\frac {1}{6}}+{\frac {1}{4}}=}$
f) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$

Lösungen

${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {23}{12}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {7}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {25}{12}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {7}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {23}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {25}{12}}}$${\displaystyle {\frac {3}{4}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 1, 1, 1 und 1.

a) ${\displaystyle {\frac {1}{9}}+{\frac {1}{3}}+{\frac {1}{6}}=}$
b) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {1}{5}}=}$
d) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$

2. Berechne und kürze mit 3, 5...

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

3. Berechne und kürze mit 1, 1, 1, 1...

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {5}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}+{\frac {1}{3}}=}$
d) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$

4. Berechne und kürze mit 5, 3...

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

Lösungen

${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {7}{4}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {25}{12}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {19}{18}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 5, 5, 1 und 1.

a) ${\displaystyle {\frac {1}{5}}+{\frac {1}{4}}+{\frac {3}{10}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {2}{5}}+{\frac {1}{10}}=}$
c) ${\displaystyle {\frac {1}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
d) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$

2. Berechne und kürze mit 3, 5...

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

3. Berechne und kürze mit 5, 3, 1, 5...

a) ${\displaystyle {\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{6}}=}$
b) ${\displaystyle {\frac {3}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}+{\frac {1}{5}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}+{\frac {1}{5}}=}$

4. Berechne und kürze mit 5, 5...

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

Lösungen

${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {9}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {25}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {9}{4}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 1, 1, 5 und 5.

a) ${\displaystyle {\frac {1}{3}}+{\frac {4}{9}}+{\frac {1}{6}}=}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{2}}=}$
c) ${\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}=}$
d) ${\displaystyle {\frac {2}{5}}+{\frac {1}{10}}+{\frac {1}{4}}=}$

2. Berechne und kürze mit 5, 5...

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

3. Berechne und kürze mit 3, 1, 5, 1...

a) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}+{\frac {2}{5}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{2}}+{\frac {5}{6}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{4}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{2}}=}$

4. Berechne und kürze mit 3, 1...

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

Lösungen

${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {13}{12}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {19}{12}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 5, 5, 3 und 3.

a) ${\displaystyle {\frac {1}{5}}+{\frac {3}{10}}+{\frac {1}{4}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}+{\frac {2}{5}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{3}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{6}}=}$

2. Berechne und kürze mit 5, 5...

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

3. Berechne und kürze mit 5, 3, 1, 3...

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{9}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{6}}=}$
c) ${\displaystyle {\frac {2}{5}}+{\frac {1}{4}}+{\frac {1}{10}}=}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{3}}=}$

4. Berechne und kürze mit 5, 3...

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

Lösungen

${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {7}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {7}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {25}{12}}}$${\displaystyle {\frac {3}{4}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 1, 1, 3 und 1.

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{2}}=}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {5}{9}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {3}{4}}+{\frac {1}{3}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{2}}=}$

2. Berechne und kürze mit 3, 5...

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

3. Berechne und kürze mit 1, 3, 1, 5...

a) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
d) ${\displaystyle {\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}=}$

4. Berechne und kürze mit 5, 5...

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{2}}=}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {3}{4}}=}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{2}}=}$
d) ${\displaystyle {\frac {2}{5}}+{\frac {1}{10}}+{\frac {1}{4}}=}$
e) ${\displaystyle {\frac {2}{5}}+{\frac {1}{4}}+{\frac {1}{10}}=}$
f) ${\displaystyle {\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}=}$

Lösungen

${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 1, 1, 3 und 5.

a) ${\displaystyle {\frac {1}{6}}+{\frac {2}{9}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {5}{9}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {3}{4}}+{\frac {1}{3}}+{\frac {1}{6}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{5}}+{\frac {3}{10}}=}$

2. Berechne und kürze mit 3, 5...

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

3. Berechne und kürze mit 1, 5, 3, 1...

a) ${\displaystyle {\frac {1}{3}}+{\frac {1}{6}}+{\frac {1}{4}}=}$
b) ${\displaystyle {\frac {2}{5}}+{\frac {1}{4}}+{\frac {1}{10}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{9}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{2}}+{\frac {1}{6}}=}$

4. Berechne und kürze mit 5, 3...

a) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {1}{6}}+{\frac {3}{4}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{3}}=}$
d) ${\displaystyle {\frac {1}{10}}+{\frac {2}{5}}+{\frac {1}{4}}=}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{2}}=}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {1}{2}}+{\frac {1}{6}}=}$

Lösungen

${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 1, 3, 1 und 5.

a) ${\displaystyle {\frac {2}{9}}+{\frac {1}{3}}+{\frac {1}{6}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{6}}+{\frac {1}{2}}+{\frac {1}{4}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}+{\frac {1}{5}}=}$

2. Berechne und kürze mit 5, 5...

a) ${\displaystyle {\frac {3}{10}}+{\frac {1}{4}}+{\frac {1}{5}}=}$
b) ${\displaystyle {\frac {1}{2}}+{\frac {1}{4}}+{\frac {5}{6}}=}$
c) ${\displaystyle {\frac {2}{5}}+{\frac {1}{4}}+{\frac {1}{10}}=}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{3}}=}$
e) ${\displaystyle {\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{6}}=}$
f) ${\displaystyle {\frac {1}{4}}+{\frac {5}{6}}+{\frac {2}{3}}=}$

3. Berechne und kürze mit 5, 3, 1, 1...

a) ${\displaystyle {\frac {1}{2}}+{\frac {1}{6}}+{\frac {3}{4}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}+{\frac {1}{5}}=}$

4. Berechne und kürze mit 5, 5...

a) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {2}{5}}+{\frac {1}{10}}=}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {1}{5}}+{\frac {3}{10}}=}$
d) ${\displaystyle {\frac {1}{4}}+{\frac {3}{10}}+{\frac {1}{5}}=}$
e) ${\displaystyle {\frac {2}{5}}+{\frac {1}{10}}+{\frac {1}{4}}=}$
f) ${\displaystyle {\frac {1}{2}}+{\frac {1}{6}}+{\frac {1}{4}}=}$

Lösungen

${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {7}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 5, 3, 1 und 3.

a) ${\displaystyle {\frac {1}{5}}+{\frac {3}{10}}+{\frac {1}{4}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{3}}+{\frac {1}{6}}+{\frac {1}{9}}=}$
d) ${\displaystyle {\frac {5}{6}}+{\frac {2}{3}}+{\frac {1}{4}}=}$

2. Berechne und kürze mit 5, 5...

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

3. Berechne und kürze mit 5, 1, 3, 3...

a) ${\displaystyle {\frac {1}{6}}+{\frac {1}{4}}+{\frac {1}{3}}=}$
b) ${\displaystyle {\frac {2}{9}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {2}{5}}+{\frac {1}{10}}=}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {1}{3}}+{\frac {1}{4}}=}$

4. Berechne und kürze mit 5, 5...

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

Lösungen

${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {7}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 1, 3, 3 und 5.

a) ${\displaystyle {\frac {1}{4}}+{\frac {1}{2}}+{\frac {1}{6}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
c) ${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{3}}=}$
d) ${\displaystyle {\frac {1}{5}}+{\frac {3}{10}}+{\frac {1}{4}}=}$

2. Berechne und kürze mit 5, 5...

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

3. Berechne und kürze mit 1, 5, 1, 3...

a) ${\displaystyle {\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{6}}=}$
b) ${\displaystyle {\frac {1}{4}}+{\frac {1}{10}}+{\frac {2}{5}}=}$
c) ${\displaystyle {\frac {1}{3}}+{\frac {5}{9}}+{\frac {1}{6}}=}$
d) ${\displaystyle {\frac {1}{6}}+{\frac {3}{4}}+{\frac {1}{3}}=}$

4. Berechne und kürze mit 5, 5...

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

Lösungen

${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {9}{4}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {17}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {13}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{18}}}$${\displaystyle {\frac {17}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{20}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{12}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{12}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {11}{20}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {19}{18}}}$${\displaystyle {\frac {3}{4}}}$${\displaystyle {\frac {5}{4}}}$