Question

Convert the following mixed fractions into improper fractions:

$2\frac{8}{9}$

Answer 1

Converting a mixed fraction into an improper fraction:

$\mathrm{Improper}\mathrm{fraction}=\frac{(\mathrm{whole}\mathrm{number}\times \mathrm{Denominator})+\mathrm{Numerator}}{\mathrm{Denominator}}$

$$\begin{gathered} 2\frac{8}{9}=\frac{(2\times 9)+8}{9} \\ =\frac{18+8}{9} \\ =\frac{26}{9} \end{gathered}$$

Therefore, improper fraction will be $\frac{26}{9}$.