Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.7 AIME Find the answer

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

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

$\frac{1}{2n}+\frac{1}{3n}+\frac{1}{6n}$

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