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

1 answer

It is always possible to find a rational number between any two given rational numbers, as long as they are not equal. Given two rational numbers \( a \) and \( b \) (where \( a < b \)), you can find a rational number between them by calculating the average:

\[ \frac{a + b}{2} \]

This number will be a rational number and will lie between \( a \) and \( b \). Therefore, no matter how close the two rational numbers are, you can always find another rational number in between them.