How do you convert a decimal to a fraction?

Write the decimal over a power of ten matching its decimal places, then reduce. For example, 0.375 = 375/1000, which simplifies to 3/8. This tool uses the continued-fraction method to find the simplest exact fraction.

What is 0.375 as a fraction?

0.375 equals 3/8. As 375/1000 it shares a common factor of 125 with the denominator, and dividing both by 125 gives 3/8 in lowest terms.

Does it find the lowest terms?

Yes. The result is always reduced to lowest terms using the greatest common divisor, and shown as both a mixed number and an improper fraction.

What is a mixed number versus an improper fraction?

A mixed number combines a whole part and a proper fraction, like 1 1/4. The same value as an improper fraction is 5/4, where the numerator is larger than the denominator. The tool shows both forms.

How does it handle repeating decimals?

It uses the continued-fraction algorithm, which finds the simplest fraction within a bounded denominator (up to one million). For typical repeating decimals like 0.333… it returns the clean fraction 1/3.

Can it convert negative decimals?

Yes. The sign is preserved, so −0.75 becomes −3/4. The whole and fractional parts are worked out from the absolute value and the negative sign is applied to the final result.

Is anything sent to a server?

No. The whole conversion happens locally in your browser. Nothing you enter is uploaded or saved anywhere.

What is the Decimal to Fraction Converter?

Free decimal to fraction converter. Enter a decimal and get the simplest fraction, mixed number and improper fraction. Runs entirely in your browser — nothing is uploaded. It runs free in your browser on Gera Tools, with nothing uploaded.

Decimal to Fraction Converter

Name: Decimal to Fraction Converter
Creator: Gera Tools
License: https://creativecommons.org/licenses/by/4.0/

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Decimal to fraction converter

Turn any decimal into its simplest fraction, shown as a mixed number where appropriate plus the improper-fraction form. It is useful for cooking measurements, woodworking, schoolwork and any calculation that reads more naturally as a fraction than a decimal.

How it works

The tool separates the whole part from the fractional part, then converts the fractional part using the continued-fraction algorithm. This method finds the simplest exact fraction whose denominator stays within a bounded limit (up to 1,000,000), which means it handles repeating decimals such as 0.333… cleanly as 1/3. The fraction is then reduced to lowest terms by dividing numerator and denominator by their greatest common divisor (GCD). The sign of the original number is carried through to the result.

Reference table of common conversions

Decimal	Fraction	Notes
0.1	1/10	One tenth
0.125	1/8	One eighth
0.25	1/4	One quarter
0.333…	1/3	Repeating — exactly 1/3
0.375	3/8	Three eighths
0.5	1/2	One half
0.666…	2/3	Repeating — exactly 2/3
0.75	3/4	Three quarters
0.875	7/8	Seven eighths
1.25	5/4	Mixed: 1 1/4
2.5	5/2	Mixed: 2 1/2

Why this matters in practice

Cooking and baking. Recipes call for 3/4 cup or 1/3 teaspoon, not 0.75 cup. When a recipe is scaled using decimal arithmetic, the result needs to be converted back to a fraction to match the markings on standard measuring cups and spoons.

Woodworking and manufacturing. Imperial tape measures show 1/16-inch increments. A calculated dimension of 0.625 inches needs to be recognised as 5/8 to find it on the tape. The same applies to drill bit sizes and bolt diameters in imperial systems.

Repeating decimals. Fractions like 1/3 (0.333…) and 2/3 (0.666…) cannot be expressed exactly as finite decimals. Calculators display truncated versions, and this tool recovers the exact fraction using the continued-fraction algorithm rather than just reading off decimal digits.

Maths homework. Final answers on worksheets and exams are often required in lowest terms. Converting 0.375 to the intermediate form 375/1000, then verifying it reduces to 3/8, is the step that earns full marks.

Worked example

Convert 0.375:

0.375 = 375/1000 → find GCD of 375 and 1000, which is 125 → divide both → 3/8

Convert 1.625 to a mixed number:

Whole part: 1. Fractional part: 0.625 = 5/8. Result: 1 5/8 (or as an improper fraction, 13/8).

Everything runs in your browser — nothing you type is uploaded.