Decimal to Fraction Calculator

To manually convert a decimal to a fraction, you write the decimal over 1 (e.g., 0.75 / 1). Then, multiply both the top and bottom by 10 for every digit after the decimal point (e.g., multiply by 100 to get 75 / 100). Finally, simplify the fraction by finding its Greatest Common Divisor (e.g., dividing both by 25 yields 3/4). Or, simply use our calculator above to see the steps instantly!

Repeating decimals (like 0.333...) require a different algebraic trick. You set the repeating decimal as 'x', multiply by powers of 10 based on repeating digits, and subtract to eliminate the repeated part. Our tool currently handles terminating decimals! However, a quick cheat sheet for repeating decimals is: put the repeating number over 9 (e.g., 0.777... = 7/9).

The Greatest Common Divisor (also known as the Greatest Common Factor) is the largest integer that divides perfectly into two or more numbers without leaving a remainder. It is the key to simplifying fractions.

If your decimal is greater than 1 (for example, 2.5), the result is an "improper fraction" (like 5/2). A mixed number formats this as a whole number plus a proper fraction (like 2 1/2), which is often easier to read for measurements.

Yes! Our tool supports negative decimals. The mathematical process is exactly the same; you just keep the negative sign attached to the numerator (the top number) of the fraction.