Question

$37.5-[3.75+\{\frac{5}{6}of\frac{2}{3}(\frac{1}{3}-\frac{1}{4}-\frac{1}{6})\left\}\right]$.

Answer 1

$\Rightarrow 37.5-[3.75+\{\frac{5}{6}of\frac{2}{3}\left(\frac{1}{3}-\frac{1}{4}-\frac{1}{6}\}\right)$

$\Rightarrow 37.5-[3.75+\{\frac{5}{6}\times \frac{2}{3}\left(\frac{4-3-2}{12}\}\right)$

$\Rightarrow 37.5-[3.75+\{\frac{5}{6}\times \frac{2}{3}\left(\frac{-1}{12}\}\right)$

$\Rightarrow 37.5-\left[3.75+\{\frac{5}{3}\times \frac{1}{3}\times \frac{-1}{12}\}\right]$

$\Rightarrow 37.5-\left[3.75-\frac{5}{108}\right]$

$\Rightarrow 37.5-\left[\frac{3.75\times 108-5}{108}\right]$

$\Rightarrow 37.5-\frac{400}{108}$

$\Rightarrow \frac{4056-400}{108}$

$\Rightarrow \frac{3650}{108}$