Question

Find out a rational number lying halfway between $\frac{1}{7}$ and $\frac{3}{4}$

• A. $\frac{2}{56}$
• B. $\frac{25}{56}$
• C. $\frac{25}{28}$
• D. $\frac{3}{28}$

Answer 1

The correct option is B $\frac{25}{56}$

Required number = $\frac{1}{2}\left(\frac{1}{7}+\frac{3}{4}\right)$= $\frac{1}{2}\left(\frac{4+21}{28}\right)$
= $\frac{1}{2}\left(\frac{25}{28}\right)$
= $\frac{25}{56}$
Hence, $\frac{25}{56}$ is a rational number lying halfway between $\frac{1}{7}$ and $\frac{3}{4}$.