Question

$\frac{32}{8}÷\frac{5}{15}=$

• A. $\frac{4}{3}$
• B. $12$
• C. $\frac{3}{4}$

Answer 1

The correct option is B $12$

Flip the second fraction and then multiply the flipped second fraction by first fraction.

$\therefore \frac{32}{8}÷\frac{5}{15}=\frac{32}{8}\times \frac{15}{5}=\frac{32\times 15}{8\times 5}$


Now, simply the resulting fraction
$\Rightarrow \frac{32\times 15}{8\times 5}=\frac{2\times 2\times 2\times 2\times 2\times 3\times 5}{2\times 2\times 2\times 5}$

Cancel the common factors
$\Rightarrow \frac{2\times 2\times 2\times 2\times 2\times 3\times 5}{2\times 2\times 2\times 5}=2\times 2\times 3=12$

Hence,
$\frac{32}{8}÷\frac{5}{15}=12$