Question

Simplify:

ii) $\frac{5}{3}-\frac{7}{6}+\frac{-2}{3}$

Answer 1

Given: $\frac{5}{3}-\frac{7}{6}+\frac{-2}{3}$

LCM of $(3$ and $6)=6$

$\therefore \frac{5}{3}-\frac{7}{6}+\frac{-2}{3}=\frac{5\times 2}{3\times 2}-\frac{7}{6}+\frac{-2\times 2}{3\times 2}$

$=\frac{10}{6}-\frac{7}{6}+\frac{-4}{6}$

$=\frac{10-7-4}{6}$

$=\frac{-1}{6}$

Hence, $\frac{5}{3}-\frac{7}{6}+\frac{-2}{3}=\frac{-1}{6}$