Question

Calculate the following:
$\frac{-4}{5}\times \frac{3}{7}+\frac{4}{5}\times \frac{3}{7}=$ ____

• A. $\frac{3}{7}$
• B. $\frac{4}{5}$
• C. 0
• D. 1

Answer 1

The correct option is C 0

We see that $\frac{3}{7}$ is common in both the terms.
$\frac{-4}{5}\times \frac{3}{7}+\frac{4}{5}\times \frac{3}{7}=\frac{3}{7}\times \frac{-4}{5}+\frac{3}{7}\times \frac{4}{5}\left[\text{using commutative law of mutiplication}\right]=\frac{3}{7}\times (\frac{-4}{5}+\frac{4}{5})\left[\text{using distributive property of multiplication over addition}\right]$
$=\frac{3}{7}\times 0=0$