Question

$\text{Which rational number should be subtracted from}\frac{-5}{6}\text{to get}\frac{4}{9}?$

Answer 1

$\text{Required rational number}=\frac{-5}{6}-\frac{4}{9}$

$\therefore \text{LCM of 6 and 9=18}=\frac{-5\times 3}{6\times 3}-\frac{4\times 2}{9\times 2}(\because \text{LCM of 6 and 9=18})=\frac{-15}{18}-\frac{8}{18}=\frac{-15-8}{8}=\frac{-23}{18}=-1\frac{5}{18}$