Can this handle repeating decimals like 0.333...?

Yes. Put the non-repeating part in the Decimal field and the digits that repeat forever in the Repeating digits field. For 0.333... enter 0 and 3 to get exactly 1/3; for 0.1666... enter 0.1 and 6 to get 1/6.

What is the largest decimal this can handle?

The calculator handles decimals with up to 10 decimal places. Numbers with more digits than that are automatically truncated before conversion.

What does "mixed number" mean?

A mixed number combines a whole number and a proper fraction, e.g. 1 3/4 instead of 7/4. The tool shows both forms when the result is an improper fraction.

Why is my result already a whole number?

If the decimal has no fractional part (e.g. 4.0), the fraction simplifies to a whole number with denominator 1, which is displayed as just the integer.

Can I convert negative decimals?

Yes. Prefix your decimal with a minus sign (e.g. -0.25) and the tool will convert it correctly, displaying the negative sign on the numerator.

Decimal To Fraction Calculator

Enter a decimal number and instantly get its simplified fraction equivalent with step-by-step working.

Enter Decimal Number

Decimal Repeating digits (optional)

Quick Examples

Result

Enter a decimal above to see its fraction.

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Summary

This decimal to fraction calculator converts terminating and repeating decimals to exact simplified fractions. It uses the GCD (Greatest Common Divisor) algorithm to reduce fractions to their lowest terms and shows the full conversion steps so you can understand the math.

How it works

Enter any decimal number (e.g. 0.75 or 1.333) into the input field.
The calculator counts the decimal places and multiplies both numerator and denominator by the appropriate power of 10.
The GCD of the resulting numerator and denominator is computed.
Both values are divided by the GCD to produce the fully simplified fraction.
The result is displayed as a proper fraction, mixed number (if applicable), and the step-by-step working.

Use cases

Convert recipe measurements from decimal to fractional form.
Simplify engineering tolerances expressed as decimals.
Check your manual fraction work against a reliable calculator.
Convert test scores or percentages into fractions.
Understand how a decimal relates to a fraction visually.
Homework help for middle and high school math.

Frequently Asked Questions

Last updated: 2026-06-04 · Reviewed by Nham Vu