Decimal to Fraction Calculator

This calculator turns a decimal into a fraction and reduces it to its lowest terms, showing both the improper fraction and the mixed number form. Converting a decimal to a fraction is useful in cooking, woodwork, sewing and any trade that works in fractional measurements, as well as in schoolwork where answers are expected as exact fractions rather than rounded decimals. The method is simple: a decimal like 0.75 is the same as 75 hundredths, written 75 over 100, and dividing the top and bottom by their greatest common divisor reduces it to 3 over 4. The number of decimal places sets the starting denominator, so two places start over 100, three places over 1000, and so on. The calculator handles whole numbers in front of the decimal point too, so 2.25 becomes the improper fraction 9 over 4 and the mixed number 2 and 1 over 4. It works best with terminating decimals, the kind that stop after a set number of digits. Recurring decimals that repeat forever, such as 0.3333, are approximated to the precision you enter rather than turned into their exact repeating fraction. Enter any decimal to see its fraction instantly, fully reduced and ready to use.

3/4
fraction in lowest terms
Mixed number3/4
Improper fraction3/4

Best for terminating decimals. Recurring decimals are approximated to the digits entered. Estimate only.

How it works

The calculator counts the decimal places, writes the digits over the matching power of ten, then divides the numerator and denominator by their greatest common divisor to reduce the fraction. Any whole part is kept aside and recombined to give the mixed number, while the improper fraction keeps everything over a single denominator.

Worked example

Take 2.25. The fractional part 0.25 is 25 over 100, which reduces to 1 over 4. Adding the whole number 2 gives the mixed number 2 and 1 over 4, which is the improper fraction 9 over 4.

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