Question

Find three rational numbers between $\frac{1}{4}$ and $\frac{1}{2}$.

Answer 1

Given: To find three rational numbers between $\frac{1}{4}$ and $\frac{1}{2}$.

To find: Three rational numbers between $\frac{1}{4}$ and $\frac{1}{2}.$

Step:-1 Make denominator Same.
$\frac{1}{4}$ = $\frac{1}{4}$
and $\frac{1}{2}$ x $\frac{2}{2}$ = $\frac{2}{4}$

Step:- 2 Since we need three rational numbers, we multiply and divide by (3+1) = 4.
$\frac{1}{4}$ x $\frac{4}{4}$ = $\frac{4}{16}$
and $\frac{2}{4}$ x $\frac{4}{4}$ = $\frac{8}{16}$

Therefore, three rational numbers between $\frac{1}{4}$ and $\frac{1}{2}$ are
$\frac{5}{16}$, $\frac{6}{16}$, $\frac{7}{16}$ .