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

Multipliziere den 1. 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:

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

$\begin{array}{c}-612:18=-34\\ \underset{‾}{-54}\\ -72\\ \underset{‾}{-72}\\ 0\\ \end{array}\backslash def\backslash arraystretch\{1.25\}\; \backslash begin\{array\}\{l\}\backslash ;\backslash ;\backslash ;-612:18=-34\backslash \backslash \backslash ;\backslash ;\backslash ;\backslash underline\{-54\}\backslash \backslash \backslash ;\backslash ;\backslash ;\backslash ;-72\backslash \backslash \backslash ;\backslash ;\backslash ;\backslash ;\backslash underline\{-72\}\backslash \backslash \backslash ;\backslash ;\backslash ;\backslash ;\backslash ;\backslash ;\backslash ;\backslash ;\backslash ;0\backslash \backslash \backslash ;\backslash ;\backslash ;\backslash ;\backslash end\{array\}$

$-612:18=-34-612:18=-34$