Question

Find the three rational numbers between 1/4 and 1/2

Answer 1

Rational no. between

$\frac{1}{4}$

and

$\frac{1}{2}$

$\frac{1}{4}=\frac{1\times 8}{4\times 8}=\frac{8}{32}$

$\frac{1}{2}=\frac{1\times 16}{2\times 16}=\frac{16}{32}$

Rational no. between $\frac{8}{32}and\frac{16}{32}$ are $\frac{9}{32},\frac{10}{32},\frac{11}{32}....$

Hence, three rational no's between $\frac{1}{4}and\frac{1}{2}are\frac{9}{32},\frac{10}{32},\frac{11}{32}$