Question

Find the reciprocal of each of the following fractions:

$2\frac{3}{8}$

Answer 1

Step 1:- Convert the mixed fraction into the improper fraction

$2\frac{3}{8}$$=\frac{19}{8}$

Step 2:- Find the reciprocal

Two numbers are called reciprocal of one another if their product is $1$.

Let the reciprocal of$\frac{19}{8}$ is $\mathrm{x}$

$\frac{19}{8}$$\times$$\mathrm{x}$$=$$1$

$$\begin{gathered} \mathrm{x}=1\times \frac{8}{19} \\ =\frac{8}{19} \end{gathered}$$

Hence, the reciprocal of $\frac{19}{8}$ is $\frac{8}{19}$.