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. 2/3
• B. 3/2
• C. 11/9
• D. 9/11

Answer 1

The correct option is A

2/3

$3\frac{p}{q}=\frac{11}{3}$
Here, $\frac{11}{3}$ can be expressed as a mixed fraction as:
$\frac{9}{3}+\frac{2}{3}=3\frac{2}{3}$
$\Rightarrow$ $3\frac{p}{q}=3\frac{2}{3}$
$\Rightarrow$$\frac{p}{q}=\frac{2}{3}$
$\therefore$ The value of $\frac{p}{q}$ is $\frac{2}{3}$.