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I will note that this kind of fraction precision is not optimized and will usually not be needed, but for completeness it is here. Original Response def float_to_ratio(flt): > Fraction(str(f))Ĭasting as to a string also allows for accurate Decimal instances > Decimal(f).as_integer_ratio() I found a much simpler way to resolve the accuracy issue. The mathematical result desired was 8857097/10000000 which can be achieved by casting to a string and then manipulating it. This whole number is the numerator of the. Once you do that, you take note of the power of 10 you used to achieve that, because then you will use that to convert the given number to a decimal.
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To expand upon Martijn Pieters excellent answer with an additional option due to the imprecision inherent with more complex floats. To get the fractions numerator, multiply the decimal part of the number by the denominator to get a whole number. How do you convert a decimal to a fraction The strategy is simple: we need to try to 'eliminate' the decimals (the digits on the right of the '.') by multiplying the number by a power of 10. take the integer ratio tuple and pass that in as two separate arguments.Īnd a small demo with your sample values: > for f in (0.25, 0.5, 1.25, 3.0):īoth the fractions module and the float.as_integer_ratio() method are new in Python 2.6. Which essentially does the same thing, e.g. Or you can just use the om_float() class method: om_float(0.25) If you are using Python 2.6 still, then Fraction() doesn't yet support passing in a float directly, but you can combine the two techniques above into: Fraction(*0.25.as_integer_ratio()) The latter has a very helpful str() conversion: > str(Fraction(0.25))īecause floating point values can be imprecise, you can end up with 'weird' fractions limit the denominator to 'simplify' the fraction somewhat, with Fraction.limit_denominator(): > Fraction(0.185)įraction(3332663724254167, 18014398509481984)
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Use the fractions.Fraction() type: > from fractions import Fraction (as of Python 3.6, you can do the same with a decimal.Decimal() object.) \(\displaystyle \frac\) as a decimal.Use float.as_integer_ratio(): > (0.25).as_integer_ratio() This product can be used as a note-sheet for students when they are learning to convert fractions to decimals.
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Scroll down to customize the precision point enabling 355.641 to be broken down to a specific number of digits. Converting between fractions and decimals: Converting from decimals to fractions is straightforward. As a side note the whole number-integral part is: 355 The decimal part is. Multiply the number x so that the repeating sequence appears ones before the decimal point 2. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor. Convert a Repeating Decimal to Fraction 1. We all know what a fraction is, but sometimes we forget that there is a tight connection between a fraction and a decimal. The calculator provided returns fraction inputs in both improper fraction form as well as mixed number form. More about this Fraction to Decimal Calculator