Question

Simplify $\frac{2}{7}-\{(\frac{1}{4}÷\frac{2}{3})-\frac{5}{6}\}$

Answer 1

$\frac{2}{7}-\{(\frac{1}{4}÷\frac{2}{3})-\frac{5}{6}\}=\frac{2}{7}-\{(\frac{1}{4}\times \frac{2}{3})-\frac{5}{6}\}$
$=\frac{2}{7}-\{\frac{3}{8}-\frac{5}{6}\}=\frac{2}{7}-\left\{\frac{9-20}{24}\right\}$
$=\frac{2}{7}-\left\{\frac{-11}{24}\right\}=\frac{2}{7}+\frac{11}{24}$
$=\frac{48+77}{168}=\frac{125}{168}$.