Question

Question 106(ii)
Simplify each of the following by using suitable property. Also, name the property
$[\frac{1}{5}\times \frac{2}{15}]-[\frac{1}{5}\times \frac{2}{5}]$

Answer 1

Given, $[\frac{1}{5}\times \frac{2}{15}]-[\frac{1}{5}\times \frac{2}{5}]=\frac{1}{5}[\frac{2}{15}-\frac{2}{5}]$
[using distributive property over subtraction]
$=\frac{1}{5}\left[\frac{2-6}{15}\right]=\frac{-4}{75}$