Bruchrechnen – Division

Brüche werden dividiert, indem man mit dem Kehrwert multipliziert.

Beispiele:

$\cfrac{2}{3} : \cfrac{4}{5} = \cfrac{2}{3} \cdot \cfrac{5}{4} = \cfrac{2 \cdot 5}{3 \cdot 4} = \cfrac{10}{12}$

$\cfrac{8}{7} : \cfrac{11}{12} = \cfrac{8}{7} \cdot \cfrac{12}{11} = \cfrac{8 \cdot 12}{7 \cdot 11} = \cfrac{96}{77}$

$\cfrac{13}{42} : \cfrac{2}{1} = \cfrac{13}{42} \cdot \cfrac{1}{2} = \cfrac{13 \cdot 1}{42 \cdot 2} = \cfrac{13}{84}$

$\cfrac{7}{8} : \left( -\cfrac{11}{12} \right) = -\cfrac{7}{8} \cdot \cfrac{12}{11} = -\cfrac{7 \cdot 12}{8 \cdot 11} = -\cfrac{84}{88}$

$-\cfrac{2}{3} : \cfrac{5}{4} = -\cfrac{2}{3} \cdot \cfrac{4}{5} = -\cfrac{2 \cdot 4}{3 \cdot 5} = -\cfrac{8}{15}$

$-\cfrac{1}{2} : \left( -\cfrac{13}{21} \right) = \cfrac{1}{2} \cdot \cfrac{21}{13} = \cfrac{1 \cdot 21}{2 \cdot 13} = \cfrac{21}{26}$