Rounding a floating point number to a near-fraction

This tip submitted by Steven on 2006-04-21 19:49:32. It has been viewed 9023 times.
Rating of 7.0 with 24 votes

Say you have a float number like 3.42

You can round to a fraction decimal like this. Say you want the nearest 1/8
increment. First add 1/2 of 1/8 decimal, the value of which is .125/2 =.0625, so the math is 3.42 + .0625 = 3.4825

Now multiply by the fraction you want 3.4825 * 8 = 27.86

Then take the integer and devide by the fraction: 27 * 8 = 3.375

That's 3/8's. I've used this a lot so I know it works.

Because floating point numbers cannot be arbitrarily precise, you should not rely on this method if you need 100% precision!

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