Question

Divide the $\frac{5}{8}$by $\frac{25}{4}$

Answer 1

Dividing two fractions:

Dividing two fractions is equal to the multiplication of a fraction by the reciprocal of another fraction.

A fraction $\frac{a}{b}$ which is divided by $\frac{c}{d}$. Then we can solve the division as $\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

Given,

Divide the $\frac{5}{8}$ by $\frac{25}{4}$

$$\begin{gathered} \frac{5}{8}÷\frac{25}{4}=\frac{5}{8}\times \frac{4}{25}\left(\therefore \frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\right) \\ =\frac{5}{25}\times \frac{4}{8} \\ =\frac{1}{5}\times \frac{1}{2} \\ =\frac{1\times 1}{5\times 2} \\ \frac{5}{8}÷\frac{25}{4}=\frac{1}{10} \end{gathered}$$

Therefore, Divide the $\frac{5}{8}$by $\frac{25}{4}$ is equal to $\frac{1}{10}$