## Answers

An infinite number

#### Explanation:

To understand why, let's think about these two fractions this way - let's first just look at the fractions as they are and see what denominators we think we can squeeze in:

And so it looks like we can list out the fractions

and so from appearances, I can list the fractions

But we can multiply by another factor, say another million, or more! and go through this process again and again and again. Infinitely many times.