Maths Olympiad Prep

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Algebra Difficulty 4.7 AIME Find the answer

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

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

12n+13n+16n\frac{1}{2n}+\frac{1}{3n}+\frac{1}{6n}

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