# How do we divide a fraction by another fraction?

Oct 22, 2016

For example if we have do divide $\frac{a}{b}$ by $\frac{c}{d}$ i.e we are computing $\frac{a}{b} \div \frac{c}{d}$,
what we can do is multiply $\frac{a}{b}$ by reciprocal of $\frac{c}{d}$ i.e. by $\frac{d}{c}$
Hence $\frac{a}{b} \div \frac{c}{\mathrm{dh}} A r r \frac{a}{b} \times \frac{d}{c} = \frac{a \times d}{b \times c}$ or $\frac{a d}{b c}$