Question

Simplify the expression:
$\frac{\frac{4}{7}}{\frac{2}{5}}$ =

• A. $\frac{8}{35}$
• B. $\frac{10}{7}$
• C. $\frac{10}{35}$
• D. $\frac{5}{7}$

Answer 1

The correct option is B $\frac{10}{7}$

We can write $\frac{\frac{4}{7}}{\frac{2}{5}}$ as $\frac{4}{7}$ ÷ $\frac{2}{5}$

So,
Flipping th second fraction and simplifying,
$\frac{4}{7}$ ÷ $\frac{2}{5}$ = $\frac{4}{7}$ x $\frac{5}{2}$ = $\frac{10}{7}$

Hence,
$\frac{\frac{4}{7}}{\frac{5}{2}}$ = $\frac{10}{7}$