Let $r$ be a rational no. with $0<r<1$. Then $r$ can be expressed as a sum of reciprocals of finitely many distinct positive integers . Show that this is true even for $r>1$.
If there is a particular theorem or an article on this please share..
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7see http://math.stackexchange.com/questions/71851/prove-that-any-rational-can-be-expressed-in-the-form-sum-limits-k-1n-frac – Jef May 02 '16 at 16:46
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I see three algorithms there, but will it be rigorous to state them only? – May 02 '16 at 16:54
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1I see a proof there. – May 02 '16 at 23:14