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Changing decimal values to fractions

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Does anyone know of a good way to convert decimal values to fractions for use in inch measurements? I have a script that works great but it returns values like 5.5638 and I'd rather it return the closest fraction answer like 5 9/16. 1/16ths would be great, but I'd settle for 1/8ths.

 

I started trying to come up with a large if with lots of > and < conditions, but I figured if anyone has already done this it might be better not to reinvent the wheel.

 

Thanks.


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