Question

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction, 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

$\frac{2}{3}$

$3\frac{p}{q}=\frac{11}{3}$

Dividing 11 by 3,
3 ) 11 ( 3
09
2

Here, $\frac{11}{3}$ can be expressed as a mixed fraction as:
$3+\frac{2}{3}=3\frac{2}{3}$
$\Rightarrow$ $3\frac{p}{q}=3\frac{2}{3}$
$\Rightarrow$$\frac{p}{q}=\frac{2}{3}$
$\therefore$ The value of $\frac{p}{q}$ is $\frac{2}{3}$.