You can put this solution on YOUR website! There is an infinite number of choices. Just pick a denominator (or 2), make up fractions that are less than 1, and add those fractions to 2.
For example, and are between and
and would work too
and so would and ,
or any combination.
There are many fractions of that we can add to 2 and still end up with less than 3.
If asked for 5 rational numbers between 2 and 3, you could use , , , , and