Question

Evaluate $[\frac{5}{4}+\frac{-1}{2}]+\frac{-3}{2}\frac{-5}{4}+(\frac{1}{2}+\frac{-3}{2})$

Answer 1

$[\frac{5}{4}+\frac{-1}{2}]+\frac{-3}{2}\frac{-5}{4}+(\frac{1}{2}+\frac{-3}{2})$

$=\left[\frac{5+(-2)}{4}\right]+\frac{(-3)\times (-5)}{8}+\left(\frac{1+(-3)}{2}\right)$

$=\frac{3}{4}+\frac{15}{8}+\frac{-2}{2}$

$=\frac{3}{4}+\frac{15}{8}-1$

$=\frac{6+15-8}{8}$

$=\frac{1}{8}$

Hence the required answer is $\frac{1}{8}$.