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.

Decimal to Fraction Converter

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.

Example

Convert 0.375:

0.375 = 375/1000 → divide both by GCD 125 → 3/8

Decimal	Simplest fraction	Improper form
0.375	3/8	3/8
1.25	1 1/4	5/4
0.333…	1/3	1/3
−0.75	−3/4	−3/4

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