Convert Decimals Fractions Calculator
Decimal to Fraction Converter works out Fraction and Numerator from Convert, Decimal value and How many trailing digits repeat. The default figures on this page give fraction of 3/8; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
2 steps
- 0.375 has 3 decimal place(s), so write it as 375/10^3 and reduce.
- Decimal expansion: 0.375 (terminates).
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
3 sources
What the Decimal to Fraction Converter calculates
Converts a decimal (including repeating decimals and percentages) into its exact fraction in lowest terms, or a fraction into its full decimal expansion, with optional rounding to a fixed denominator such as 16ths.
How to use this Decimal to Fraction Converter
Enter Convert, Decimal value, How many trailing digits repeat and Fraction. Fraction updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Fraction, Numerator and Denominator.
The method follows NIST Digital Library of Mathematical Functions, §1.2 and §27.1 (rational numbers and divisibility), G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, ch. X (decimals; the period of 1/q divides the order of 10 mod q) and Continued-fraction best rational approximation (Stern-Brocot convergents), as implemented by Python fractions.Fraction.limit_denominator.
0.375 is exactly 3/8 example
With Convert: decimal-to-fraction, Decimal value: 0.375, the calculator returns Fraction: 3/8, Numerator: 3, Denominator: 8. This example is checked against an independent source in the test suite.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
How do I turn decimals into a fraction?
Converts a decimal (including repeating decimals and percentages) into its exact fraction in lowest terms, or a fraction into its full decimal expansion, with optional rounding to a fixed denominator such as 16ths. Open “How this is worked out” beside the result to see each step for your own figures.
How do I convert 2.5 to a fraction?
It needs Convert, Decimal value, How many trailing digits repeat, Fraction, Fraction accuracy and Denominator N. Nothing else is required, and the figures stay in your browser.
What is 0.2 into a fraction?
Converts a decimal (including repeating decimals and percentages) into its exact fraction in lowest terms, or a fraction into its full decimal expansion, with optional rounding to a fixed denominator such as 16ths. On this page it is computed from Convert, Decimal value and How many trailing digits repeat and shown as Fraction, Numerator and Denominator.
How to convert 1.75 into a fraction?
The result gives Fraction, Numerator, Denominator, As a mixed number, Decimal value and Exact decimal expansion, each labelled with its unit so the figure can be read on its own.
What information do I need for the Decimal to Fraction Converter?
You need Convert, Decimal value, How many trailing digits repeat, Fraction, Fraction accuracy, Denominator N and Decimal places. The page opens with default figures that give fraction of 3/8, so you can see the scale before entering your own.
What does this Decimal to Fraction Converter show?
It shows Fraction, Numerator, Denominator, As a mixed number, Decimal value, Exact decimal expansion, As a percent and Repeating block, with the working and any warnings for your entries.