Question

Find any three rational numbers between $\frac{-7}{11}$ and $\frac{2}{11}$
$\left[3\right]$

Answer 1

A rational number between $\frac{-7}{11}$ and $\frac{2}{11}$ $=\frac{1}{2}(-\frac{7}{11}+\frac{2}{11})=\frac{1}{2}\left(\frac{-7+2}{11}\right)=\frac{-5}{22}$$\left[1\right]$
A rational number between $\frac{-7}{11}$ and $\frac{-5}{22}$ $=\frac{1}{2}(-\frac{7}{11}-\frac{5}{22})=\frac{1}{2}\left(\frac{-14-5}{22}\right)=\frac{-19}{44}$
$\left[1\right]$
A rational number between $\frac{-5}{22}$ and $\frac{2}{11}$ $=\frac{1}{2}(-\frac{5}{22}+\frac{2}{11})=\frac{1}{2}\left(\frac{-5+4}{22}\right)=\frac{-1}{44}$$\left[1\right]$