Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.6 AIME Prove it United States

Problem:
Explain how any unit fraction $\frac{1}{n}$ can be decomposed into other unit fractions.

Solution

Solution:
$\frac{1}{n} = \frac{1}{2n} + \frac{1}{3n} + \frac{1}{6n}$

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