Question

Insert one fraction between:
$\left(i\right)$ $\frac{3}{7}$ and $\frac{4}{9}$

Answer 1

Inserting one fraction between $\frac{3}{7}$ and $\frac{4}{9}$

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 $\frac{3}{7}$and $\frac{4}{9}$ is,
$\frac{3+4}{7+9}=\frac{7}{16}$

Hence,$\frac{7}{16}$ is a fraction between $\frac{3}{7}$ and $\frac{4}{9}$