The easiest method to find a number between two endpoints is to use the average value.
We are given the endpoints 1/5 and 1/4. Let's calculate the average value:
[tex]m=\frac{\frac{1}{4}+\frac{1}{5}}{2}[/tex]Calculating:
[tex]m=\frac{\frac{9}{20}}{2}=\frac{9}{40}[/tex]The fraction 9/40 is between 1/5 and 1/4.
Note: there are an infinite number of possible answers to this question, we just selected the average.