Question

Perform the following division $6\frac{1}{4}÷2\frac{3}{5}$

Answer 1

Express the mixed fraction as simplest form

$6\frac{1}{4}=\frac{25}{4},2\frac{3}{5}=\frac{13}{5}$

So,$6\frac{1}{4}÷2\frac{3}{5}=$ $\frac{25}{4}÷\frac{13}{5}$

$$\begin{gathered} =\frac{25}{4}\times \frac{5}{13}[\because \mathrm{a}÷\mathrm{b}=\mathrm{a}\times \frac{1}{\mathrm{b}}] \\ =\frac{125}{52} \end{gathered}$$

Hence, the required answer is $\frac{125}{52}=2\frac{21}{52}$