Question

Question 1(ii)
Using appropriate properties find:
$\frac{2}{5}\times \left(\frac{-3}{7}\right)-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

Answer 1

$\frac{2}{5}\times \left(\frac{-3}{7}\right)-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}=\frac{2}{5}\times \left(\frac{-3}{7}\right)+\frac{1}{14}\times \frac{2}{5}-\frac{1}{6}\times \frac{3}{2}\text{[ Using associative property]}=\frac{2}{5}\times (\frac{-3}{7}+\frac{1}{14})-\frac{1}{4}\text{[Using distributive property]}=\frac{2}{5}\times \left(\frac{-6+1}{14}\right)-\frac{1}{4}=\frac{2}{5}\times \frac{-5}{14}-\frac{1}{4}=\frac{-1}{7}-\frac{1}{4}=\frac{-4-7}{28}=\frac{-11}{28}$