Question

Solve using appropriate proper properties [3 MARKS]

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

Answer 1

Concept : 1 Mark
Application : 1 Mark
Calculation : 1 Mark


$\frac{2}{5}\times \frac{-3}{7}-\frac{1}{14}-\frac{3}{7}\times \frac{3}{5}$
= $\frac{2}{5}\times \frac{-3}{7}-\frac{3}{7}\times \frac{3}{5}-\frac{1}{14}$ [Commutative property]
= $\frac{3}{7}\times (\frac{-2}{5}-\frac{3}{5})-\frac{1}{14}$ [Distributive property]
= $\frac{3}{7}\times \left(\frac{-5}{5}\right)-\frac{1}{14}$
= $\frac{-3}{7}-\frac{1}{14}$
=$\frac{-6-1}{14}$
=$\frac{-7}{14}$
= $\frac{-1}{2}$