Berechne folgenden Term: ${\displaystyle \frac{14}{36}}:(-{\displaystyle \frac{28}{72}})\backslash dfrac\{14\}\{36\}:\backslash left(-\backslash dfrac\{28\}\{72\}\backslash right)$

Multipliziere den ersten Bruch mit dem Kehrwert des 2. Bruchs

${\displaystyle \frac{14}{36}}\cdot (-{\displaystyle \frac{72}{28}})=\backslash dfrac\{14\}\{36\}\backslash cdot\backslash left(-\backslash dfrac\{72\}\{28\}\backslash right)=$

Fasse nun die beiden Brüche zu einem Bruch zusammen. Vergiss dabei nicht das Vorzeichen!

$=-{\displaystyle \frac{14\cdot 72}{36\cdot 28}}=-\backslash dfrac\{\{14\}\backslash cdot\{72\}\}\{\{36\}\backslash cdot\{28\}\}$

Du kannst den Bruch kürzen und zwar 14 mit 28 und 72 mit 36. Du erhältst:

$=-{\displaystyle \frac{1\cdot 2}{1\cdot 2}}=-1=-\backslash dfrac\{\{1\}\backslash cdot\{2\}\}\{\{1\}\backslash cdot\{2\}\}=\; -1$

${\displaystyle \frac{14}{36}}:(-{\displaystyle \frac{28}{72}})=-1\backslash dfrac\{14\}\{36\}:\backslash left(-\backslash dfrac\{28\}\{72\}\backslash right)=-1$

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