Question

Question #4c07a

Answer 1

The rational numbers are `dense`, meaning that there are infinite rational numbers between any two given rational numbers

Explanation:

First observe that `1/3 <7/8`. There are infinite rationals (fractions) between these two given numbers, for example, the mid point between the two `m`.

But `m=(1/3+7/8)/2=(8/24+21/24)/2=(29/24)/2=29/48`

This mid point is just it of the fractions between the two given numbers