Question

Find the value of
$\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})$

• A. $\frac{-55}{8}$
• B. $\frac{-55}{4}$
• C. $\frac{55}{4}$
• D. $\frac{55}{8}$

Answer 1

The correct option is D $\frac{55}{8}$

$\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})=(\frac{3}{5}\times \frac{35}{24})+(\frac{3}{5}\times \frac{10}{1})$
[using distributive property of multiplication over addition]
$=\left(\frac{7}{8}\right)+\left(6\right)=6\frac{7}{8}=\frac{55}{8}$