Question

Verify the following $\frac{1}{2}-(\frac{3}{4}-\frac{5}{4})=(\frac{1}{2}-\frac{3}{4})-\left(\frac{5}{4}\right)$

Answer 1

To verify $\frac{1}{2}-[\frac{3}{4}-\frac{5}{4}]=[\frac{1}{2}-\frac{3}{4}]-\left[\frac{5}{4}\right]$

L H S$=\frac{1}{2}-[\frac{3}{4}-\frac{5}{4}]=\frac{1}{2}-\left[\frac{-2}{4}\right]$

$=\frac{1}{2}+\frac{1}{2}=1$

R H S $=[\frac{1}{2}-\frac{3}{4}]-\left[\frac{5}{4}\right]=\frac{-1}{4}-\frac{5}{4}=\frac{-6}{4}$

$=\frac{-3}{2}$

$\therefore LHS\ne RHS\Rightarrow$ They are not equal.