Question

$\text{m and n are two rational numbers such that}m\times n=-\frac{25}{9.}\left(i\right)\text{if}m=\frac{5}{3},\text{find n,}\left(ii\right)\text{if}n=-\frac{10}{9},\text{find m,}$

Answer 1

$\because m\times n=-\frac{25}{9.}\left(i\right)m=\frac{5}{3}\therefore \frac{5}{3}\times n=\frac{-25}{9}n=\frac{-25}{9}\times \frac{3}{5}n=\frac{-5\times 1}{3\times 1}=\frac{-5}{3}\left(ii\right)m\times -\frac{10}{9}=\frac{-25}{9}m=\frac{-25}{9}\times \frac{9}{-10}m=\frac{5\times 1}{1\times 2}\frac{5}{2}=2\frac{1}{2}$