Question

Simplify:$\frac{2}{5}$ of $(\frac{1}{7}-\frac{1}{12})$ of $1\frac{2}{5}$

Answer 1

$\frac{2}{5}$ of $(\frac{1}{7}-\frac{1}{12})$ of $1\frac{2}{5}$

$=\frac{2}{5}$ of $\left(\frac{12-7}{84}\right)$ of $1\frac{2}{5}$

$=\frac{2}{5}$ of $\left(\frac{5}{84}\right)$ of $1\frac{2}{5}$

$=\frac{2}{5}\times \frac{5}{84}\times \frac{7}{5}$

$=\frac{2\times 5\times 7}{5\times 84\times 5}$

$=\frac{1}{6\times 5}=\frac{1}{30}$