Question #4c07a

1 Answer
Jul 13, 2016

Answer:

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