Question

$\left(\frac{1}{3}\right)$ divided by $\left(\frac{3}{5}\right)$ is ____.

• A. $\frac{1}{3}$
• B. $\frac{1}{5}$
• C. $\frac{5}{9}$
• D. $\frac{9}{5}$

Answer 1

The correct option is C $\frac{5}{9}$

While dividing a fraction by a fraction, get the reciprocal of the second fraction and multiply it with the first fraction.

$\text{The given expression is}\frac{\frac{1}{3}}{\frac{3}{5}}$
$=\left(\frac{1}{3}\right)÷\left(\frac{3}{5}\right)$
$=\left(\frac{1}{3}\right)\times \left(\frac{5}{3}\right)$
$=\frac{5}{9}$