5/8 is bigger.
A simple method to see why is as follows:
5/8 > 4/8 = 1/2
7/15 < 7/14 = 1/2
So 7/15 < 1/2 < 5/8.
You could, of course, rename both fractions to their common denominator, 120, and do lots of calculations before coming to the same conclusion.
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You can tell by looking at them that 5/8 is bigger, since 5 is more than half of 8, and 7 is less than half of 15, but if you want the math... 5/8 = 75/120 7/15 = 56/120 75 is bigger than 56.
14/15: In decimal, 7/8 is .875 In decimal, 14/15 is .9333 (threes go on forever)
7/8
7/87/8 = 35/404/5 = 32/40thus 7/8 is bigger than 4/5
So the question is, is 5/8 > 7/12. Multiply by 8: is 5 > 14/3? Now multiply by 3: is 15 > 14? Yes it is, so 5/8 > 7/12.