Question

Simplify the following by using suitable property. Also, name the property
$\frac{-3}{5}\times \{\frac{3}{7}+\left(\frac{-5}{6}\right)\}$
[3 marks]

Answer 1

Given, $\frac{-3}{5}\times \{\frac{3}{7}+\left(\frac{-5}{6}\right)\}=\frac{-3}{5}\times \frac{3}{7}+\left(\frac{-3}{5}\right)\times \left(\frac{-5}{6}\right)$
[using distributive property of multiplication over addition]
[1 mark]
$=\frac{-9}{35}+\frac{15}{30}=\frac{-54+105}{210}=\frac{51}{210}=\frac{17}{70}$
[2 marks]