Question
Divide: $\frac{2}{3}\ \text{by}\ \frac{-7}{12}$

Answer

$\frac{2}{3}\ \text{by}\ \frac{-7}{12}$ $=\frac{2}{3}\div\frac{-7}{12}=\frac{2}{3}\times\frac{12}{-7}$ $=\frac{2\times4}{1\times(-7)}=\frac{8}{-7}$ $=\frac{8\times(-1)}{-7\times(-1)}=\frac{-8}{7}$

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