Question

Evaluate:

$37-[3.75÷\left\{\frac{5}{6}of\frac{2}{3}(\frac{1}{3}-\overline{\frac{1}{4}-\frac{1}{6}})\right\}]$

Answer 1

$37-[3.75÷\left\{\frac{5}{6}of\frac{2}{3}(\frac{1}{3}-\overline{\frac{1}{4}-\frac{1}{6}})\right\}]$

$=37-[3.75÷\left\{\frac{5}{6}of\frac{2}{3}(\frac{1}{3}-\frac{1}{12})\right\}]$
$=37-[3.75÷\left\{\frac{5}{6}of\frac{2}{3}\left(\frac{1}{4}\right)\right\}]$

$=37-[3.75÷\left\{\frac{5}{6}of\frac{1}{6}\right\}]$

$=37-[3.75÷\{\frac{5}{6}\times \frac{1}{6}\}]$
$=37-[3.75÷\frac{5}{36}]$

$=37-[3.75\times \frac{36}{5}]$

$=37-27=10$