(5/8) × 48 = (8/15) × n
Multiply by the inverse of the coefficient of n. That inverse is 15/8.
n = (15/8)×(5/8)×48 = (75/64)×48 = 225/4 = 56 1/4
5/8 of 48 is equal to 8/15 of 56 1/4
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