Question

Using appropriate properties find.
$\frac{2}{5}\times (-\frac{3}{7})-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$.

Answer 1

$\frac{2}{5}\times (-\frac{3}{7})-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

$=\frac{2}{5}\times \frac{-3}{7}-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

$=\frac{-6}{35}-\frac{1}{4}+\frac{1}{35}$

$=\frac{-24-35+4}{35\times 4}=\frac{-55}{35\times 4}=\frac{-11}{28}$