Tuesday, December 30, 2014

Sum of unit fractions puzzle

A unit fraction is a number of the form $\dfrac{1}{n}$, where $n$ is a positive integer $ \gt 0$.

Show that any positive rational number can be written as a sum of a finite number of distinct unit fractions.

For example 1 can be written as 1/2 + 1/3 + 1/6.


[Solution]

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