Question

Convert the following mixed fractions into improper fractions:

$3\frac{4}{5}$

Answer 1

Converting a mixed fraction into an improper fraction:

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

$$\begin{gathered} 3\frac{4}{5}=\frac{(3\times 5)+4}{5} \\ =\frac{15+4}{5} \\ =\frac{19}{5} \end{gathered}$$

Therefore, improper fraction will be $\frac{19}{5}$.