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 $\frac{2}{3}$

$3\frac{p}{q}=\frac{11}{3}$
Here, $\frac{11}{3}$ can be expressed as a mixed fraction as follows:-

$\begin{array}{ccc}3& 11& 3\\ & -9& \\ & 2& \end{array}$

So,
$\frac{11}{3}=3\frac{2}{3}=3\frac{p}{q}$
thus, by comparing we have, $\frac{p}{q}=\frac{2}{3}.$