Question

Divide:
$\left(ii\right)\frac{-20}{9}$ by $\frac{-5}{9}$

Answer 1

Dividing $\frac{-20}{9}$ by $\frac{-5}{9}$

Given,
$\frac{-20}{9}$ by $\frac{-5}{9}$

$=\frac{-20}{9}÷\frac{-5}{9}$

$=\frac{-20}{9}\times \left(\text{multiplicative inverse of}\frac{-5}{9}\right)$

$=\frac{-20}{9}\times \frac{9}{-5}$

$=\frac{20}{9}\times \frac{9}{5}$

$=\frac{5\times 4\times 9}{9\times 5}$

$=4$

Hence, the required answer is $4$.