Question

Question 111(iv)
Use the distributivity of multiplication of rational numbers over addition to simplify.
$\frac{3}{4}\times [\frac{8}{9}-40]$

Answer 1

Given, $\frac{3}{4}\times (\frac{8}{9}-40)=\frac{3}{4}\times \frac{8}{9}+\left(\frac{3}{4}\right)\times (-40)$
[by using distributive property over addition]
$=\frac{2}{3}-30=\frac{2-90}{3}=\frac{-88}{3}$