Question

Convert the mixed fraction $3\frac{1}{11}$ into an improper fraction.

Answer 1

• The mixed fraction can be converted into an improper fraction using the form $\frac{\left(\text{whole number}\times \text{denominator}\right)+\text{numerator of the mixed fraction}}{\text{denominator}}$.

Step 1: In the mixed fraction $3\frac{1}{11}$, $3$ is the whole number, $1$ is the numerator and $11$ is the denominator. Substitute these values into the form to convert the given mixed fraction into an improper fraction.

$\begin{array}{rcl}\frac{\left(3\times 11\right)+1}{11}& =& \frac{33+1}{11}\\ & =& \frac{34}{11}\end{array}$

Hence, an improper fraction for the mixed fraction $3\frac{1}{11}$ is $\begin{array}{rcl}& & \frac{34}{11}\end{array}$.