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Printable View

- May 28th 2012, 08:58 AMSorobanAnother interesting fraction

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- May 29th 2012, 02:56 AMBobPRe: Another interesting fraction
Let then

- May 30th 2012, 08:09 AMSorobanRe: Another interesting fraction

Elegant proof, BobP !

- Jun 14th 2012, 12:56 AMrichard1234Re: Another interesting fraction
I like this one:

It's very easy to prove. Let

Adding them up, we get

Solving for S, we obtain . According to WolframAlpha, this decimal repeats with period 496,620.