the fastest and easiest way to check if two ratios are equivalent is to cross multiply.
1) 15:17
2) 5:7
set it up with the first number of one ratio being multiplied by the second number of the other ratio, e.g.,
a) 15 x 7
b) 5 x 17
the two products you get are 105, and 85, respectively.
Since the two products differ, these ratios are not equivalent