Question

-10 2/7 divided by -4 4/11 I cannot seem to get this question right

Answer 1

-2 5/14

Explanation:

Answer 2

let's firstly convert the mixed fractions to improper fractions and then divide.

`\bf \stackrel{mixed}{10(2)/(7)}\implies \cfrac{10\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{72}{7}}~\hfill \stackrel{mixed}{4(4)/(11)}\implies \cfrac{4\cdot 11+4}{11}\implies \stackrel{improper}{\cfrac{48}{11}} \\\\[-0.35em] ~\dotfill`

`\bf -\cfrac{72}{7}/ -\cfrac{48}{11}\implies \cfrac{-72}{7}/ \cfrac{-48}{11}\implies \cfrac{\stackrel{3}{~~\begin{matrix} -72 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{7}\cdot \cfrac{11}{\underset{2}{~~\begin{matrix} -48 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{33}{14}\implies 2(5)/(14)`