Question

Insert one fraction between:
$\left(ii\right)$ 2 and $\frac{8}{3}$

Answer 1

Inserting one fraction between $2$ and $\frac{8}{3}$

If $\frac{a}{b}$ and $\frac{c}{d}$ are two fractions, then $\frac{a+c}{b+d}$ is a fraction that lies between them.

By using above property, fraction between $\frac{2}{1}$and $\frac{8}{3}$ is,
$\frac{2+8}{1+3}=\frac{10}{4}$
$=\frac{5}{2}$

Hence,$\frac{5}{2}$ is a fraction between $2$ and $\frac{8}{3}$