Mathematikunterricht/ Sek/ Brüche/ Ü/ Add4 NennerNeu 50max A4 1

Übungsbeispiele zur Addition von jeweils 4 Brüchen.

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 6 und 3.

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

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

2. Berechne und kürze mit 6...

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

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

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

3. Berechne und kürze mit 5, 5...

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

b) ${\frac {3}{8}}+{\frac {1}{10}}+{\frac {1}{20}}+{\frac {1}{4}}=$

4. Berechne und kürze mit 6...

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

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

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

Lösungen

${\frac {4}{7}}$  ${\frac {39}{20}}$  ${\frac {4}{7}}$  ${\frac {31}{40}}$  ${\frac {11}{16}}$  ${\frac {17}{18}}$  ${\frac {7}{8}}$  ${\frac {7}{8}}$  ${\frac {7}{6}}$  ${\frac {4}{5}}$  ${\frac {11}{16}}$  ${\frac {19}{4}}$  ${\frac {13}{16}}$  ${\frac {11}{4}}$  ${\frac {5}{6}}$  ${\frac {17}{48}}$  ${\frac {1}{2}}$  ${\frac {9}{8}}$  ${\frac {13}{8}}$  ${\frac {15}{16}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 10 und 30.

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

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

2. Berechne und kürze mit 3...

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

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

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

3. Berechne und kürze mit 5, 3...

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

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

4. Berechne und kürze mit 15...

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

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

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

Lösungen

${\frac {1}{1}}$  ${\frac {10}{9}}$  ${\frac {15}{16}}$  ${\frac {2}{3}}$  ${\frac {7}{16}}$  ${\frac {3}{2}}$  ${\frac {5}{4}}$  ${\frac {7}{4}}$  ${\frac {19}{9}}$  ${\frac {3}{5}}$  ${\frac {4}{7}}$  ${\frac {11}{16}}$  ${\frac {1}{2}}$  ${\frac {7}{8}}$  ${\frac {13}{9}}$  ${\frac {15}{4}}$  ${\frac {3}{5}}$  ${\frac {19}{40}}$  ${\frac {11}{8}}$  ${\frac {5}{4}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 6 und 3.

a) ${\frac {1}{4}}+{\frac {7}{18}}+{\frac {4}{9}}+{\frac {1}{12}}=$

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

2. Berechne und kürze mit 4...

a) ${\frac {3}{10}}+{\frac {1}{5}}+{\frac {9}{20}}+{\frac {1}{8}}=$

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

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

3. Berechne und kürze mit 5, 3...

a) ${\frac {1}{8}}+{\frac {9}{20}}+{\frac {1}{5}}+{\frac {1}{10}}=$

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

4. Berechne und kürze mit 6...

a) ${\frac {3}{14}}+{\frac {2}{7}}+{\frac {1}{21}}+{\frac {1}{6}}=$

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

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

Lösungen

${\frac {7}{6}}$  ${\frac {7}{16}}$  ${\frac {13}{16}}$  ${\frac {43}{40}}$  ${\frac {7}{8}}$  ${\frac {7}{9}}$  ${\frac {5}{4}}$  ${\frac {9}{4}}$  ${\frac {5}{7}}$  ${\frac {17}{48}}$  ${\frac {13}{16}}$  ${\frac {11}{12}}$  ${\frac {4}{7}}$  ${\frac {1}{2}}$  ${\frac {15}{8}}$  ${\frac {2}{3}}$  ${\frac {3}{2}}$  ${\frac {9}{4}}$  ${\frac {13}{16}}$  ${\frac {15}{16}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 3 und 18.

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

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

2. Berechne und kürze mit 30...

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

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

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

3. Berechne und kürze mit 3, 3...

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

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

4. Berechne und kürze mit 6...

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

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

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

Lösungen

${\frac {1}{1}}$  ${\frac {3}{2}}$  ${\frac {11}{8}}$  ${\frac {1}{2}}$  ${\frac {13}{16}}$  ${\frac {9}{4}}$  ${\frac {11}{16}}$  ${\frac {9}{4}}$  ${\frac {47}{40}}$  ${\frac {4}{7}}$  ${\frac {1}{2}}$  ${\frac {19}{40}}$  ${\frac {17}{18}}$  ${\frac {5}{6}}$  ${\frac {7}{4}}$  ${\frac {13}{12}}$  ${\frac {4}{3}}$  ${\frac {3}{4}}$  ${\frac {5}{16}}$  ${\frac {4}{7}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 6 und 3.

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

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

2. Berechne und kürze mit 18...

a) ${\frac {3}{10}}+{\frac {1}{8}}+{\frac {1}{4}}+{\frac {1}{5}}=$

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

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

3. Berechne und kürze mit 9, 3...

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

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

4. Berechne und kürze mit 3...

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

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

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

Lösungen

${\frac {13}{16}}$  ${\frac {7}{8}}$  ${\frac {7}{6}}$  ${\frac {1}{2}}$  ${\frac {3}{4}}$  ${\frac {13}{10}}$  ${\frac {7}{4}}$  ${\frac {11}{16}}$  ${\frac {3}{2}}$  ${\frac {7}{8}}$  ${\frac {11}{16}}$  ${\frac {9}{16}}$  ${\frac {9}{8}}$  ${\frac {4}{7}}$  ${\frac {7}{8}}$  ${\frac {29}{48}}$  ${\frac {23}{40}}$  ${\frac {23}{9}}$  ${\frac {15}{8}}$  ${\frac {29}{40}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 3 und 3.

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

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

2. Berechne und kürze mit 2...

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

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

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

3. Berechne und kürze mit 3, 2...

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

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

4. Berechne und kürze mit 6...

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

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

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

Lösungen

${\frac {37}{24}}$  ${\frac {21}{20}}$  ${\frac {11}{4}}$  ${\frac {17}{16}}$  ${\frac {7}{6}}$  ${\frac {5}{4}}$  ${\frac {19}{18}}$  ${\frac {7}{16}}$  ${\frac {29}{48}}$  ${\frac {1}{1}}$  ${\frac {5}{8}}$  ${\frac {1}{1}}$  ${\frac {6}{7}}$  ${\frac {13}{4}}$  ${\frac {5}{8}}$  ${\frac {1}{1}}$  ${\frac {11}{8}}$  ${\frac {29}{24}}$  ${\frac {3}{2}}$  ${\frac {5}{4}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 30 und 3.

a) ${\frac {2}{15}}+{\frac {1}{10}}+{\frac {1}{6}}+{\frac {3}{5}}=$

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

2. Berechne und kürze mit 10...

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

b) ${\frac {5}{6}}+{\frac {1}{2}}+{\frac {10}{9}}+{\frac {2}{3}}=$

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

3. Berechne und kürze mit 6, 2...

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

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

4. Berechne und kürze mit 42...

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

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

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

Lösungen

${\frac {7}{4}}$  ${\frac {1}{1}}$  ${\frac {28}{9}}$  ${\frac {1}{1}}$  ${\frac {16}{9}}$  ${\frac {4}{7}}$  ${\frac {2}{3}}$  ${\frac {5}{6}}$  ${\frac {9}{4}}$  ${\frac {7}{8}}$  ${\frac {11}{16}}$  ${\frac {25}{18}}$  ${\frac {5}{4}}$  ${\frac {5}{4}}$  ${\frac {5}{8}}$  ${\frac {9}{8}}$  ${\frac {17}{16}}$  ${\frac {11}{9}}$  ${\frac {11}{8}}$  ${\frac {5}{8}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 6 und 4.

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

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

2. Berechne und kürze mit 6...

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

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

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

3. Berechne und kürze mit 18, 2...

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

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

4. Berechne und kürze mit 10...

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

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

c) ${\frac {1}{8}}+{\frac {1}{10}}+{\frac {3}{20}}+{\frac {1}{4}}=$

Lösungen

${\frac {5}{8}}$  ${\frac {7}{9}}$  ${\frac {7}{6}}$  ${\frac {5}{8}}$  ${\frac {1}{2}}$  ${\frac {2}{3}}$  ${\frac {4}{5}}$  ${\frac {1}{1}}$  ${\frac {11}{9}}$  ${\frac {19}{18}}$  ${\frac {9}{4}}$  ${\frac {16}{9}}$  ${\frac {4}{5}}$  ${\frac {3}{4}}$  ${\frac {7}{8}}$  ${\frac {13}{4}}$  ${\frac {11}{16}}$  ${\frac {5}{9}}$  ${\frac {1}{1}}$  ${\frac {11}{16}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 3 und 3.

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

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

2. Berechne und kürze mit 6...

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

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

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

3. Berechne und kürze mit 30, 5...

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

b) ${\frac {7}{6}}+{\frac {5}{4}}+{\frac {1}{2}}+{\frac {1}{3}}=$

4. Berechne und kürze mit 18...

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

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

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

Lösungen

${\frac {17}{16}}$  ${\frac {5}{6}}$  ${\frac {11}{16}}$  ${\frac {13}{4}}$  ${\frac {11}{16}}$  ${\frac {1}{1}}$  ${\frac {5}{4}}$  ${\frac {1}{2}}$  ${\frac {5}{4}}$  ${\frac {11}{4}}$  ${\frac {5}{8}}$  ${\frac {3}{4}}$  ${\frac {7}{9}}$  ${\frac {7}{8}}$  ${\frac {7}{4}}$  ${\frac {10}{9}}$  ${\frac {6}{7}}$  ${\frac {1}{2}}$  ${\frac {3}{2}}$  ${\frac {11}{4}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 2 und 14.

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

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

2. Berechne und kürze mit 9...

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

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

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

3. Berechne und kürze mit 6, 2...

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

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

4. Berechne und kürze mit 3...

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

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

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

Lösungen

${\frac {17}{9}}$  ${\frac {4}{3}}$  ${\frac {3}{4}}$  ${\frac {6}{7}}$  ${\frac {11}{18}}$  ${\frac {15}{16}}$  ${\frac {17}{18}}$  ${\frac {5}{4}}$  ${\frac {37}{40}}$  ${\frac {11}{12}}$  ${\frac {9}{16}}$  ${\frac {11}{18}}$  ${\frac {3}{7}}$  ${\frac {13}{8}}$  ${\frac {4}{7}}$  ${\frac {5}{8}}$  ${\frac {13}{9}}$  ${\frac {29}{20}}$  ${\frac {13}{16}}$  ${\frac {13}{16}}$