Question

Find a rational number between $-\frac{2}{3}$and $\frac{1}{4}$.

Answer 1

Find mean of the given number

The mean is the average of the numbers & is calculated as the sum divided by count.

A rational number between $-\frac{2}{3}$ & $\frac{1}{4}$ is given by:

$$\begin{gathered} =\frac{\frac{-2}{3}+\frac{1}{4}}{2} \\ =\frac{{\displaystyle \frac{-8+3}{12}}}{2} \\ =\frac{-5}{24}. \end{gathered}$$

So, rational number between $-\frac{2}{3}$ & $\frac{1}{4}$ is $-\frac{5}{24}$.