Question

Convert the following mixed fractions into improper fractions:

$6\frac{5}{6}$

Answer 1

Converting a mixed fraction into an improper fraction:

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

$$\begin{gathered} 6\frac{5}{6}=\frac{(6\times 6)+5}{6} \\ =\frac{36+5}{6} \\ =\frac{41}{6} \end{gathered}$$

Therefore, improper fraction will be $\frac{41}{6}$.