How many rational numbers are between 2 and 3?

There are infinite rational numbers between 2 and 3.

Explanation:

Let us write a few decimal numbers between 2 and 3: 2.01, 2.001, 2.0001,.., 2.4, 2.90 etc. Just change digits after the decimal point and this way we can write infinite decimal numbers between 2 and 3. And each decimal number can be expressed in the form of p/q(rational number)

2.01 = 201/100

2.001 = 2001/1000

... 2.4 = 24/10 and so on.

So there are infinitely many rational numbers b/w 2 and 3.