There is an infinite number of fractions.
Think of the numbers between 1 and 2. There is 1.1, 1.2, 1.3... but there is also 1.11, 1.12, 1.13 and 1.111, 1.112..., so the the number of numbers between any two numbers can go on and on. In other words, there are an infinite numbers between any two numbers.
If you would just pick one, there would be... 1/9 for example.