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The largest fraction less than 16/23

Source: South African MO 2005 Q2

May 27, 2012
number theory unsolvednumber theory

Problem Statement

Let FF be the set of all fractions m/nm/n where mm and nn are positive integers with m+n≤2005m+n\le 2005. Find the largest number aa in FF such that a<16/23a < 16/23.
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