Question

Simplify : $[\frac{5}{6}-\frac{2}{12}]-[\frac{6}{12}-\frac{1}{3}]$

Answer 1

$\begin{array}{c}Wehave\\ \left[\frac{5}{6}-\frac{2}{12}\right]-\left[\frac{6}{12}-\frac{1}{3}\right]\\ =\left[\frac{5}{6}-\frac{1}{6}\right]-\left[\frac{1}{2}-\frac{1}{3}\right]\\ =\frac{5}{6}-\frac{1}{6}-\frac{1}{2}+\frac{1}{3}\\ =\frac{5-1-3+2}{6}\\ =\frac{3}{6}\\ =\frac{1}{2}\\ whichistherequiredasnwer.\end{array}$