Mathematikunterricht/ Sek/ Brüche/ Ü/ Add4 NennerNeu 80max A4 1

Übungsbeispiele zur Addition von jeweils 4 Brüchen.

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 14 und 4.

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

b) ${\frac {1}{18}}+{\frac {7}{12}}+{\frac {3}{4}}+{\frac {1}{6}}=$

2. Berechne und kürze mit 18...

a) ${\frac {1}{4}}+{\frac {5}{6}}+{\frac {7}{18}}+{\frac {1}{12}}=$

b) ${\frac {3}{16}}+{\frac {1}{8}}+{\frac {1}{10}}+{\frac {3}{20}}=$

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

3. Berechne und kürze mit 5, 18...

a) ${\frac {1}{40}}+{\frac {1}{20}}+{\frac {3}{10}}+{\frac {1}{16}}=$

b) ${\frac {13}{10}}+{\frac {1}{5}}+{\frac {1}{4}}+{\frac {1}{2}}=$

4. Berechne und kürze mit 9...

a) ${\frac {1}{36}}+{\frac {1}{12}}+{\frac {1}{18}}+{\frac {5}{24}}=$

b) ${\frac {1}{24}}+{\frac {1}{8}}+{\frac {9}{16}}+{\frac {1}{12}}=$

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

Lösungen

${\frac {14}{9}}$  ${\frac {4}{3}}$  ${\frac {14}{9}}$  ${\frac {7}{16}}$  ${\frac {3}{2}}$  ${\frac {9}{16}}$  ${\frac {9}{4}}$  ${\frac {31}{24}}$  ${\frac {3}{8}}$  ${\frac {13}{16}}$  ${\frac {4}{5}}$  ${\frac {3}{2}}$  ${\frac {1}{3}}$  ${\frac {6}{5}}$  ${\frac {3}{7}}$  ${\frac {5}{6}}$  ${\frac {16}{27}}$  ${\frac {11}{9}}$  ${\frac {29}{4}}$  ${\frac {19}{16}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 3 und 14.

a) ${\frac {2}{15}}+{\frac {1}{30}}+{\frac {1}{10}}+{\frac {1}{12}}=$

b) ${\frac {1}{10}}+{\frac {3}{14}}+{\frac {3}{7}}+{\frac {2}{35}}=$

2. Berechne und kürze mit 72...

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

b) ${\frac {7}{18}}+{\frac {3}{8}}+{\frac {1}{36}}+{\frac {5}{24}}=$

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

3. Berechne und kürze mit 3, 3...

a) ${\frac {5}{12}}+{\frac {3}{8}}+{\frac {5}{4}}+{\frac {1}{3}}=$

b) ${\frac {7}{20}}+{\frac {1}{16}}+{\frac {1}{10}}+{\frac {7}{40}}=$

4. Berechne und kürze mit 6...

a) ${\frac {1}{22}}+{\frac {1}{11}}+{\frac {1}{6}}+{\frac {2}{33}}=$

b) ${\frac {1}{16}}+{\frac {7}{24}}+{\frac {1}{6}}+{\frac {1}{8}}=$

c) ${\frac {5}{21}}+{\frac {9}{14}}+{\frac {2}{7}}+{\frac {1}{6}}=$

Lösungen

${\frac {4}{5}}$  ${\frac {7}{20}}$  ${\frac {7}{8}}$  ${\frac {11}{16}}$  ${\frac {11}{4}}$  ${\frac {19}{8}}$  ${\frac {1}{1}}$  ${\frac {31}{48}}$  ${\frac {1}{1}}$  ${\frac {4}{3}}$  ${\frac {11}{16}}$  ${\frac {4}{11}}$  ${\frac {29}{48}}$  ${\frac {9}{7}}$  ${\frac {43}{24}}$  ${\frac {71}{80}}$  ${\frac {1}{1}}$  ${\frac {7}{16}}$  ${\frac {13}{12}}$  ${\frac {8}{3}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 22 und 12.

a) ${\frac {1}{33}}+{\frac {1}{6}}+{\frac {1}{11}}+{\frac {1}{22}}=$

b) ${\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{10}}+{\frac {1}{20}}=$

2. Berechne und kürze mit 42...

a) ${\frac {1}{20}}+{\frac {1}{16}}+{\frac {11}{40}}+{\frac {3}{10}}=$

b) ${\frac {1}{14}}+{\frac {1}{8}}+{\frac {1}{7}}+{\frac {1}{28}}=$

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

3. Berechne und kürze mit 5, 42...

a) ${\frac {1}{8}}+{\frac {7}{20}}+{\frac {1}{5}}+{\frac {7}{10}}=$

b) ${\frac {9}{10}}+{\frac {1}{6}}+{\frac {4}{15}}+{\frac {1}{3}}=$

4. Berechne und kürze mit 10...

a) ${\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{18}}+{\frac {1}{12}}=$

b) ${\frac {1}{6}}+{\frac {2}{33}}+{\frac {7}{22}}+{\frac {2}{11}}=$

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

Lösungen

${\frac {3}{8}}$  ${\frac {2}{5}}$  ${\frac {1}{1}}$  ${\frac {5}{3}}$  ${\frac {3}{4}}$  ${\frac {1}{3}}$  ${\frac {11}{16}}$  ${\frac {11}{8}}$  ${\frac {10}{7}}$  ${\frac {8}{11}}$  ${\frac {10}{9}}$  ${\frac {1}{2}}$  ${\frac {1}{1}}$  ${\frac {1}{1}}$  ${\frac {2}{5}}$  ${\frac {2}{1}}$  ${\frac {15}{8}}$  ${\frac {29}{40}}$  ${\frac {17}{8}}$  ${\frac {19}{8}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 2 und 9.

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

b) ${\frac {1}{24}}+{\frac {1}{9}}+{\frac {11}{36}}+{\frac {5}{12}}=$

2. Berechne und kürze mit 9...

a) ${\frac {1}{24}}+{\frac {7}{18}}+{\frac {1}{12}}+{\frac {1}{9}}=$

b) ${\frac {5}{18}}+{\frac {1}{6}}+{\frac {1}{12}}+{\frac {2}{9}}=$

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

3. Berechne und kürze mit 6, 6...

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

b) ${\frac {7}{24}}+{\frac {1}{36}}+{\frac {5}{18}}+{\frac {1}{9}}=$

4. Berechne und kürze mit 9...

a) ${\frac {1}{14}}+{\frac {3}{7}}+{\frac {1}{28}}+{\frac {1}{8}}=$

b) ${\frac {1}{18}}+{\frac {13}{36}}+{\frac {1}{8}}+{\frac {1}{12}}=$

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

Lösungen

${\frac {7}{8}}$  ${\frac {10}{9}}$  ${\frac {4}{7}}$  ${\frac {3}{4}}$  ${\frac {5}{7}}$  ${\frac {17}{24}}$  ${\frac {5}{8}}$  ${\frac {37}{56}}$  ${\frac {5}{8}}$  ${\frac {11}{12}}$  ${\frac {1}{1}}$  ${\frac {25}{16}}$  ${\frac {1}{1}}$  ${\frac {13}{9}}$  ${\frac {4}{7}}$  ${\frac {13}{4}}$  ${\frac {17}{27}}$  ${\frac {13}{24}}$  ${\frac {11}{9}}$  ${\frac {3}{8}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 2 und 3.

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

b) ${\frac {5}{12}}+{\frac {3}{8}}+{\frac {1}{3}}+{\frac {3}{4}}=$

2. Berechne und kürze mit 9...

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

b) ${\frac {1}{6}}+{\frac {3}{4}}+{\frac {11}{18}}+{\frac {2}{9}}=$

c) ${\frac {3}{4}}+{\frac {5}{9}}+{\frac {1}{12}}+{\frac {5}{6}}=$

3. Berechne und kürze mit 7, 4...

a) ${\frac {1}{7}}+{\frac {1}{14}}+{\frac {1}{8}}+{\frac {1}{28}}=$

b) ${\frac {7}{10}}+{\frac {5}{8}}+{\frac {1}{20}}+{\frac {1}{4}}=$

4. Berechne und kürze mit 5...

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

b) ${\frac {1}{16}}+{\frac {1}{10}}+{\frac {1}{20}}+{\frac {9}{40}}=$

c) ${\frac {5}{3}}+{\frac {7}{6}}+{\frac {2}{9}}+{\frac {1}{2}}=$

Lösungen

${\frac {26}{9}}$  ${\frac {15}{8}}$  ${\frac {11}{16}}$  ${\frac {7}{4}}$  ${\frac {3}{8}}$  ${\frac {5}{4}}$  ${\frac {20}{9}}$  ${\frac {32}{9}}$  ${\frac {7}{16}}$  ${\frac {8}{11}}$  ${\frac {13}{8}}$  ${\frac {33}{56}}$  ${\frac {1}{1}}$  ${\frac {1}{1}}$  ${\frac {19}{20}}$  ${\frac {13}{18}}$  ${\frac {6}{11}}$  ${\frac {21}{16}}$  ${\frac {1}{2}}$  ${\frac {9}{16}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 12 und 6.

a) ${\frac {1}{12}}+{\frac {1}{30}}+{\frac {2}{15}}+{\frac {3}{20}}=$

b) ${\frac {3}{22}}+{\frac {1}{6}}+{\frac {4}{11}}+{\frac {5}{33}}=$

2. Berechne und kürze mit 30...

a) ${\frac {1}{9}}+{\frac {1}{27}}+{\frac {1}{18}}+{\frac {1}{6}}=$

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

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

3. Berechne und kürze mit 22, 30...

a) ${\frac {1}{6}}+{\frac {1}{33}}+{\frac {1}{11}}+{\frac {1}{22}}=$

b) ${\frac {5}{12}}+{\frac {9}{20}}+{\frac {1}{6}}+{\frac {2}{15}}=$

4. Berechne und kürze mit 24...

a) ${\frac {3}{8}}+{\frac {1}{9}}+{\frac {1}{24}}+{\frac {5}{36}}=$

b) ${\frac {3}{20}}+{\frac {1}{8}}+{\frac {1}{16}}+{\frac {1}{10}}=$

c) ${\frac {1}{9}}+{\frac {5}{24}}+{\frac {11}{36}}+{\frac {1}{8}}=$

Lösungen

${\frac {2}{5}}$  ${\frac {10}{27}}$  ${\frac {9}{11}}$  ${\frac {7}{12}}$  ${\frac {1}{3}}$  ${\frac {7}{16}}$  ${\frac {2}{1}}$  ${\frac {3}{4}}$  ${\frac {7}{6}}$  ${\frac {7}{4}}$  ${\frac {2}{3}}$  ${\frac {17}{16}}$  ${\frac {23}{9}}$  ${\frac {1}{1}}$  ${\frac {17}{20}}$  ${\frac {21}{10}}$  ${\frac {4}{3}}$  ${\frac {43}{40}}$  ${\frac {1}{2}}$  ${\frac {6}{5}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 3 und 2.

a) ${\frac {5}{18}}+{\frac {1}{9}}+{\frac {1}{36}}+{\frac {1}{8}}=$

b) ${\frac {1}{2}}+{\frac {1}{6}}+{\frac {11}{9}}+{\frac {1}{3}}=$

2. Berechne und kürze mit 20...

a) ${\frac {1}{20}}+{\frac {1}{12}}+{\frac {3}{10}}+{\frac {7}{30}}=$

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

c) ${\frac {7}{9}}+{\frac {5}{6}}+{\frac {1}{2}}+{\frac {1}{3}}=$

3. Berechne und kürze mit 42, 2...

a) ${\frac {1}{21}}+{\frac {1}{6}}+{\frac {9}{14}}+{\frac {1}{7}}=$

b) ${\frac {7}{20}}+{\frac {1}{6}}+{\frac {11}{30}}+{\frac {1}{15}}=$

4. Berechne und kürze mit 3...

a) ${\frac {1}{6}}+{\frac {1}{20}}+{\frac {1}{30}}+{\frac {1}{10}}=$

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

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

Lösungen

${\frac {2}{3}}$  ${\frac {13}{24}}$  ${\frac {5}{12}}$  ${\frac {20}{9}}$  ${\frac {22}{9}}$  ${\frac {1}{1}}$  ${\frac {19}{20}}$  ${\frac {7}{20}}$  ${\frac {1}{2}}$  ${\frac {13}{8}}$  ${\frac {1}{1}}$  ${\frac {5}{12}}$  ${\frac {7}{8}}$  ${\frac {13}{16}}$  ${\frac {10}{11}}$  ${\frac {11}{8}}$  ${\frac {5}{8}}$  ${\frac {7}{16}}$  ${\frac {13}{8}}$  ${\frac {9}{8}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 20 und 5.

a) ${\frac {1}{12}}+{\frac {1}{20}}+{\frac {1}{30}}+{\frac {1}{6}}=$

b) ${\frac {1}{16}}+{\frac {1}{10}}+{\frac {3}{20}}+{\frac {1}{8}}=$

2. Berechne und kürze mit 8...

a) ${\frac {1}{8}}+{\frac {1}{14}}+{\frac {9}{28}}+{\frac {2}{7}}=$

b) ${\frac {3}{8}}+{\frac {7}{20}}+{\frac {1}{4}}+{\frac {7}{10}}=$

c) ${\frac {5}{12}}+{\frac {1}{9}}+{\frac {3}{8}}+{\frac {5}{24}}=$

3. Berechne und kürze mit 3, 8...

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

b) ${\frac {1}{7}}+{\frac {1}{28}}+{\frac {1}{8}}+{\frac {1}{14}}=$

4. Berechne und kürze mit 9...

a) ${\frac {1}{9}}+{\frac {3}{4}}+{\frac {13}{18}}+{\frac {1}{6}}=$

b) ${\frac {3}{8}}+{\frac {5}{6}}+{\frac {1}{3}}+{\frac {7}{12}}=$

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

Lösungen

${\frac {10}{9}}$  ${\frac {1}{3}}$  ${\frac {7}{16}}$  ${\frac {45}{56}}$  ${\frac {67}{40}}$  ${\frac {13}{4}}$  ${\frac {7}{4}}$  ${\frac {3}{8}}$  ${\frac {17}{8}}$  ${\frac {11}{9}}$  ${\frac {7}{16}}$  ${\frac {5}{7}}$  ${\frac {23}{4}}$  ${\frac {2}{5}}$  ${\frac {17}{12}}$  ${\frac {43}{72}}$  ${\frac {7}{24}}$  ${\frac {47}{40}}$  ${\frac {5}{4}}$  ${\frac {17}{9}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 3 und 5.

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

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

2. Berechne und kürze mit 30...

a) ${\frac {1}{3}}+{\frac {5}{6}}+{\frac {11}{15}}+{\frac {1}{10}}=$

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

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

3. Berechne und kürze mit 6, 6...

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

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

4. Berechne und kürze mit 9...

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

b) ${\frac {5}{9}}+{\frac {11}{18}}+{\frac {1}{4}}+{\frac {5}{6}}=$

c) ${\frac {5}{12}}+{\frac {2}{9}}+{\frac {3}{4}}+{\frac {11}{18}}=$

Lösungen

${\frac {17}{4}}$  ${\frac {5}{8}}$  ${\frac {5}{7}}$  ${\frac {2}{1}}$  ${\frac {9}{4}}$  ${\frac {17}{9}}$  ${\frac {28}{9}}$  ${\frac {6}{5}}$  ${\frac {9}{4}}$  ${\frac {25}{48}}$  ${\frac {7}{3}}$  ${\frac {2}{1}}$  ${\frac {17}{4}}$  ${\frac {1}{1}}$  ${\frac {1}{3}}$  ${\frac {7}{4}}$  ${\frac {9}{16}}$  ${\frac {16}{9}}$  ${\frac {5}{4}}$  ${\frac {6}{5}}$ 

Berechne und kürze wenn möglich.

1. Berechne und kürze mit 9 und 5.

a) ${\frac {1}{24}}+{\frac {5}{12}}+{\frac {1}{18}}+{\frac {1}{9}}=$

b) ${\frac {1}{20}}+{\frac {11}{40}}+{\frac {1}{16}}+{\frac {3}{10}}=$

2. Berechne und kürze mit 14...

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

b) ${\frac {1}{28}}+{\frac {1}{7}}+{\frac {3}{8}}+{\frac {1}{14}}=$

c) ${\frac {1}{6}}+{\frac {1}{14}}+{\frac {4}{7}}+{\frac {11}{21}}=$

3. Berechne und kürze mit 12, 14...

a) ${\frac {1}{6}}+{\frac {7}{20}}+{\frac {4}{15}}+{\frac {5}{12}}=$

b) ${\frac {2}{15}}+{\frac {1}{20}}+{\frac {1}{6}}+{\frac {7}{30}}=$

4. Berechne und kürze mit 60...

a) ${\frac {7}{20}}+{\frac {13}{30}}+{\frac {2}{15}}+{\frac {1}{12}}=$

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

c) ${\frac {7}{27}}+{\frac {1}{18}}+{\frac {5}{9}}+{\frac {1}{6}}=$

Lösungen

${\frac {11}{16}}$  ${\frac {4}{3}}$  ${\frac {5}{8}}$  ${\frac {6}{5}}$  ${\frac {17}{10}}$  ${\frac {5}{8}}$  ${\frac {28}{27}}$  ${\frac {1}{1}}$  ${\frac {29}{48}}$  ${\frac {1}{1}}$  ${\frac {3}{2}}$  ${\frac {17}{48}}$  ${\frac {7}{12}}$  ${\frac {7}{9}}$  ${\frac {3}{4}}$  ${\frac {1}{1}}$  ${\frac {15}{16}}$  ${\frac {3}{4}}$  ${\frac {7}{6}}$  ${\frac {33}{80}}$