Question
Divide:
$5\ \text{by}\ \frac{-5}{7}$

Answer

$5\ \text{by}\ \frac{-5}{7}=5\div\frac{-5}{7}=5\times\frac{7}{-5}$
$=\frac{7\times(-1)}{-5\times(-1)}=\frac{-7}{5}$
$=\frac{7\times(-5)}{-5(-1)}=\frac{-35}{5}$
$=-7$

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