This free online convert decimals to fractions calculator will convert a decimal number into a fraction, and then reduce the resulting fraction into simplest form  including converting improper fractions to mixed numbers.
Plus, unlike other online conversion calculators, this calculator will show its work and give a detailed stepbystep explanation as to how it arrived at the answer.
Also, be sure to check out my other online fraction calculators for addition & subtraction, multiplication, division, and comparison.
There are several different methods for converting decimals into fractions  depending on whether or not the decimal number has digits to the left of the decimal point. I'll explain each scenario separately.
If there are no digits to the left of the decimal point, you can simply restate the decimal number as a fraction. This is done by placing the number to the right of the decimal point as the numerator, and the denominator becomes a 1 followed by the number of zeros equal to the number of digits in the numerator, like this:
.625  =  625 
1000 
625  =  625 ÷ 125  =  5 
1000  1000 ÷ 125  8 
If there are one or more digits to the left of the decimal point (value greater than zero), the easiest way to convert the decimal to a fraction is to simply put the decimal number over the number one, and multiply the top and bottom of the fraction by a number that will cause the numerator to become an integer, like this:
3.625 
1 
3.625 * 1000  =  3625 
1 * 1000  1000 
3625  =  3625 ÷ 125  =  28  =  3  5 
1000  1000 ÷ 125  8  8 
Note that the number you multiply the top and bottom by is always a 1 with the same number of zeros added as the number of top digits. So if the top has 2 digits you would multiply the top and bottom by 100. If the top has 4 digits you would multiply the top and bottom by 10000, and so on.
If there are one or more digits to the left of the decimal point and their value is greater than zero, then the decimal can be restated as a mixed number, and in turn, that mixed number can be converted to a fraction, like this:
3.625  =  3  625 
1000 
3  625  =  1000 * 3 + 625  =  3625 
1000  1000  1000 
3625  =  3625 ÷ 125  =  28  =  3  5 
1000  1000 ÷ 125  8  8 
With that, let's use the Decimal to Fraction Calculator for converting decimals into fractions and then simplifying the result.

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