Recall that to find a rational number between r and s, you can add
r and s and divide the sum by 2, that is r+s2 lies between r and s.
For example, 52 is a number between 2 and
3. We can proceed in this manner to find many more rational numbers between 2 and 3.
Hence, we can conclude that there are infinitely many rational numbers between any two given rational numbers.