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. 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 $3\frac{2}{3}$, so that,
$3\frac{p}{q}=3\frac{2}{3}$
thus, $\frac{p}{q}=\frac{2}{3}$