Decimal to Fraction Calculator

Enter a decimal number and get it automatically converted to a simplified fraction, in its simplest form.

Fraction
3/4
Simplified to simplest form
Decimal number
0.75
Equivalent percentage
75.00%

How to use the decimal to fraction calculator

  1. Enter the decimal number you want to convert to a fraction.
  2. The calculator automatically works out the fraction and simplifies it to its simplest form.
  3. You also get the number shown as a percentage.

How decimals are converted to fractions

The method involves counting the number of decimal places, setting the number without the decimal point as the numerator, and using a power of ten (10, 100, 1000 …) as the denominator based on the number of decimals. The fraction is then simplified by dividing the numerator and denominator by their greatest common factor:

0.75 → 75/100 → simplified by 25 → 3/4

Here, 0.75 has two decimals, so the denominator becomes 100 (10²), and the numerator becomes 75. Both 75 and 100 can be divided by 25, so the fraction simplifies to 3/4.

Note: This method works precisely for decimal numbers written with a finite number of decimals in the field above. Repeating decimals (like 0.333…) aren't handled perfectly, since the input comes from a regular number field with a specific number of decimals.

Frequently asked questions

Does this work with repeating decimals like 0.333...?

Not perfectly precisely. The calculator uses the number of decimals actually entered in the field, so a repeating decimal must be rounded to a specific number of decimals before conversion — giving an approximate, not exact, fraction.

Why is the fraction automatically simplified?

A simplified fraction shows the same value with the smallest possible numbers, and is easier to read and compare. The simplification happens by dividing the numerator and denominator by their greatest common factor.

Can I do the opposite (fraction to decimal)?

Yes — divide the numerator by the denominator to get the decimal number. Our fraction calculator also shows the decimal number automatically when you calculate with fractions.