# How do you find the reciprocal of 3/8?

Oct 24, 2016

$\frac{8}{3}$

#### Explanation:

The color(blue)"product" ("multiplication") of a number and it's reciprocal equals 1.

Hence the reciprocal of a number $= \frac{1}{\text{number}}$

Thus the reciprocal of $\frac{3}{8} = \frac{1}{\frac{3}{8}} = \frac{8}{3}$

Note : $\frac{3}{8} \times \frac{8}{3} = 1$