Decimal to Fraction

About converting decimals to fractions

Enter a decimal number and click the "Convert to fraction" button to convert the entered decimal number to a fraction and display it.

The decimal number you enter can be up to 12 digits decimal points, and any value above 13 digits will be truncated.

The converted fraction will be displayed as an improper fraction and a mixed number.

It also includes a calculation to convert a decimal to a fraction.

How to convert a decimal to a fraction

  • Convert decimal to fraction
  • 1. First, make a fraction with the decimal as the numerator and the denominator as 1.
  • 2. To convert the decimal in the numerator to an integer, multiply the numerator and denominator by a power of 10 equal to the number of decimal places in the numerator.
    (If there are X digits after the decimal point, multiply by 102.)
  • 3. Simplify fractions by dividing the numerator and denominator by their greatest common factor.
  • 4. To simplify a fraction, convert it to a mixed number.

Calculation example

Example: Convert 3.125 to a fraction

Convert the decimal into a fraction with a denominator of 1.

3.125 = 3.1251

To make the numerator a decimal, multiply the numerator and denominator by 1000.

3.125 × 10001 × 1000 = 31251000

If it is possible to simplify, simplify by dividing the numerator and denominator by 125 (the greatest common divisor of the numerator and denominator).

3125 ÷ 1251000 ÷ 125 = 258

Convert the improper fraction into a mixed number.

258 = 318

Therefore, converting 3.125 to Fraction results in 318.

  • Decimal and Fraction Calculator

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