Question

Insert $4$ rational number between $\frac{1}{2}$ and $\frac{4}{3}$

Answer 1

Make the denominators same of both the given rational numbers (by writing the equivalent rational number of the given numbers)

$\frac{1\times 3}{2\times 3}=\frac{3}{6}$

$\frac{4\times 2}{3\times 2}=\frac{8}{6}$

$\frac{3}{6}<\frac{4}{6}<\frac{5}{6}<\frac{6}{6}<\frac{7}{6}<\frac{8}{6}$

So, $4$ rational numbers between $\frac{1}{2}$ and $\frac{4}{3}$ are

$\frac{4}{6},\frac{5}{6},\frac{6}{6},\frac{7}{6}$