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find x/y with smallest denominator if 41/2010<x/y<1/49

Source: X - Mathematics Regional Olympiad of Mexico Northeast 2010 P2

September 17, 2022
algebranumber theoryFraction

Problem Statement

Of all the fractions xy\frac{x}{y} that satisfy 412010<xy<149\frac{41}{2010}<\frac{x}{y}<\frac{1}{49} find the one with the smallest denominator.
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