MathDB

sum of three Egypt fractions less than 1

Source: Croatian NMC 2005, 1st Grade

May 8, 2007

inequalities

Problem Statement

k, l, m

are positive integers with

\frac{1}{k}+\frac{1}{l}+\frac{1}{m}<1

, ﬁnd the maximum possible value of

\frac{1}{k}+\frac{1}{l}+\frac{1}{m}