Witch is bigger 13 over 24 or 7 over 15 and why?

Answer 1

For 13/24 and 7/15 the common denominator is 120. So we have:

(13 x 5)/(24 x 5) and (7 x 8)/(15 x 8)

65/120 and 56/120 (which are equivalent respectively to 13/24 and 7/15).

Since 65/120 > 56/120, so is 13/24 > 7/15.