Question

Write each mixed fraction as an improper fraction in its simplest form.

$7\frac{11}{13}$

Answer 1

Given mixed fraction is $7\frac{11}{13}$

To convert mixed fraction to improper fraction, we have

$Fraction=\frac{Whole\times Denominator+Numerator}{Denominator}$

Given whole$=7$ numerator $=11$ denominator$=13$

$$\begin{gathered} \therefore Fraction=\frac{Whole\times Denominator+Numerator}{Denominator} \\ Fraction=\frac{(7\times 13)+11}{13} \\ Fraction=\frac{91+11}{13} \\ Fraction=\frac{102}{13} \end{gathered}$$

Hence, the improper fraction of $7\frac{11}{13}$ is $\frac{102}{13}$.