Question

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Answer 1

At least you can write it as the sum of half of it twice, that is:
2/x = 1/x + 1/x
whatever x number you have, for example:
2/5 = 1/5 + 1/5

But then, you can express a fraction in many different ways, for example again:
2/5 = 1/5 + 1/5 = 2/10 + 2/10
= 1/10 + 1/10 + 1/10 + 1/10
so there are an infinite ways of expressing such a fraction.