Question

Find the quotient:
-10/19 ÷ -5/7
​

Answer 1

`\bf \cfrac{-10}{19}/ \cfrac{-5}{7}\implies \cfrac{\stackrel{2}{~~\begin{matrix} -10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{19}\cdot \cfrac{7}{~~\begin{matrix} -5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{14}{19}`

Answer 2

14/19

Explanation:

(-10/19) / (-5/7) =(-10*7)/(19*-5)

(-10*7)/(19*-5)= 70/95

70/95 = 14/19