Question

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction in which 3 is the whole number part and $\frac{p}{q}$ is the fractional part, then the value of $\frac{p}{q}$ is

• A. $\frac{2}{3}$
• B. $\frac{3}{2}$
• C. $\frac{11}{9}$
• D. $\frac{9}{11}$

Answer 1

The correct option is A

$\frac{2}{3}$

Given : $3\frac{p}{q}=\frac{11}{3}$
Here, $\frac{11}{3}$ can be expressed as a mixed fraction as $\frac{9+2}{3}=\frac{9}{3}+\frac{2}{3}=3+\frac{2}{3}=3\frac{2}{3}$, so that,
$3\frac{p}{q}=3\frac{2}{3}$
thus, $\frac{p}{q}=\frac{2}{3}$