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Purple Comet 2016 MS Problem 7

Source:

April 13, 2018
Purple Comet

Problem Statement

Melanie has 4254\frac{2}{5} cups of flour. The recipe for one batch of cookies calls for 1121\frac{1}{2} cups of flour. Melanie plans to make 2122\frac{1}{2} batches of cookies. When she is done, she will have mn\frac{m}{n} cups of flour remaining, where mm and nn are relatively prime positive integers. Find m+nm + n.