Rewrite the numerator and denominator with prime factors.
112 = 2^4 x 7 = 2 x 2 x 2 x 2 x 7
128 = 2^7 = 2 x 2 x 2 x 2 x 2 x 2 x 2
Now 112 / 128 becomes 2 x 2 x 2 x 2 x 7 / 2 x 2 x 2 x 2 x 2 x 2 x 2
Cancel out common factors. There are four 2's in the numerator, so remove four 2's from both the numerator and denominator to get:
7 / 2 x 2 x 2
Simplify the denominator: 2 x 2 x 2 = 8
Now you have the reduced fraction of 7/8
