when is it possible to find a rational number between two given rational numbers? ( 1 point)

Answer 1

It is always possible to find a rational number between any two given rational numbers, as long as the two numbers are distinct. If you have two rational numbers, $a$ and $b$, where $a<b$, you can find a rational number between them by taking their average:

$$\frac{a+b}{2}$$

This number will be rational and will lie between $a$ and $b$. For example, if $a=\frac{1}{3}$ and $b=\frac{2}{3}$, then

$$\frac{\frac{1}{3}+\frac{2}{3}}{2}=\frac{1}{2}$$

is a rational number between $\frac{1}{3}$ and $\frac{2}{3}$.