Question

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

$5\frac{2}{9}$

Answer 1

Given mixed fraction is $5\frac{2}{9}$

To convert mixed fraction to improper fraction, we have

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

Given whole$=5$ numerator $=2$ denominator$=9$

$$\begin{gathered} \therefore Fraction=\frac{Whole\times Denominator+Numerator}{Denominator} \\ Fraction=\frac{(5\times 9)+2}{9} \\ Fraction=\frac{45+2}{9} \\ Fraction=\frac{47}{9} \end{gathered}$$

Hence, the improper fraction of $5\frac{2}{9}$ is $\frac{47}{9}$.