Question

Find a rational number between the following rational numbers:
(i)$\frac{3}{4}\text{and}\frac{4}{3}$
(ii) $5\text{and}6$
(iii)$-\frac{3}{4}\text{and}\frac{1}{3}$

Answer 1

$\left(i\right)\frac{\frac{3}{4}+\frac{4}{3}}{2}=\frac{\frac{9+16}{12}}{2}=\frac{25}{24}$ is a rational number between $\frac{3}{4}$ and $\frac{4}{3}$

$\left(ii\right)\frac{5+6}{2}=\frac{11}{2}$ is a rational number between $5$ and $6$

$\left(iii\right)\frac{\frac{-3}{4}+\frac{1}{3}}{2}=\frac{\frac{-9+4}{12}}{2}=\frac{-5}{24}$ is a rational number between $\frac{-3}{4}$ and $\frac{1}{3}$