The sum can be greater than 1, but not two. For example say the fractions are, 3/4 and 5/6, the total is , 1 7/12. Which is greater than 1 but not two. It cannot be greater than 2 because fractions are a part of 1.UNLESS, it is a mixed number fractions, than they can be infinitely great. Such as 123 3/4 + 45 2/4 is definitely greater than 2.