Decimal to Fraction

Convert decimals into fractions instantly.

How to Do It Manually

To convert a decimal to a fraction, write the decimal over a power of 10 equal to the number of decimal places, then simplify.

0.75 = 75/100 → simplified → 3/4
  1. Count the decimal places (e.g. 0.75 has 2 decimal places).
  2. Write the decimal digits as the numerator, and 10^(decimal places) as the denominator (e.g. 75/100).
  3. Find the GCD of numerator and denominator.
  4. Divide both by the GCD to simplify (75/100 → GCD 25 → 3/4).

Frequently Asked Questions

How do I convert a repeating decimal to a fraction?

Let x = the repeating decimal. Multiply x by a power of 10 to shift the repeating part, then subtract the original equation and solve for x. Example: x = 0.333… → 10x = 3.333… → 9x = 3 → x = 1/3.