Question

Divide:
$\left(iv\right)$ $-7$ by $\frac{-14}{5}$

Answer 1

Dividing $-7$ by $\frac{-14}{5}$

Given,

$-7$ by $\frac{-14}{5}$

$=-7÷\left(\frac{-14}{5}\right)$

$=\frac{-7}{1}\times \left(\text{multiplicative inverse of}\frac{-14}{5}\right)$

$=\frac{-7}{1}\times \frac{5}{-14}$

$=\frac{7}{1}\times \frac{5}{14}$

$=\frac{7\times 5}{1\times 14}$

$=\frac{5}{2}=2\frac{1}{2}$

Hence, the required answer is $2\frac{1}{2}$.