Exact, not rounded
The conversion works on the digits you typed, so 0.75 is precisely 3/4 — there is no floating-point drift turning it into a huge ugly fraction.
Decimal to Fraction Converter
Turn any terminating decimal into a simplified fraction, exactly.
- Input
- No upload needed — instant
- Privacy
- Nothing is uploaded
- Cost
- Free · no sign-up · no watermark
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Processed entirely on your device
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Overview
About the Decimal to Fraction Converter
Convert a decimal such as 0.75 or 1.625 into a simplified fraction, with the mixed number, percentage and the power-of-ten working shown step by step.
Converting a decimal to a fraction is a two-step process: express the decimal over a power of ten, then reduce. This calculator does both and shows the working, so 0.75 becomes 75/100 and then 3/4, with the mixed number and percentage alongside.
The method
0.75 → 75/100 → divide by GCD 25 → 3/4
1.625 → 1625/1000 → divide by GCD 125 → 13/8 → 1 5/8The number of decimal places sets the denominator: one place is /10, two is /100, three is /1000.
Exact by design
Because the conversion reads the typed digits rather than a binary float, common decimals land on clean fractions instead of artifacts like 3377699720527855/4503599627370496. Repeating decimals are the one caveat — they are converted as the finite value you enter.
Private and instant
The maths runs entirely in your browser. Nothing is uploaded and no account is needed.
Step by step
How to use the Decimal to Fraction Converter
Type a decimal number, for example 0.75 or 1.625.
Read the simplified fraction instantly.
Check the mixed number, percentage and the power-of-ten working.
Why use it
Benefits and common use cases
What this tool is good for, and what it deliberately does not try to do.
Shows the method
It writes the decimal over a power of ten, then divides by the GCD, so you can see exactly how the fraction was reduced.
Mixed number and percent
Improper decimals also come back as a mixed number and a percentage, useful for measurements and recipes.
Questions
Frequently asked questions
Short, honest answers about quality, limits and privacy.
How do you convert a decimal to a fraction?
Write the digits over a power of ten matching the number of decimal places — 0.75 has two places, so 75/100 — then reduce by the greatest common divisor to get 3/4.
What about repeating decimals?
A repeating decimal like 0.333… equals 1/3 exactly, but this tool converts the finite digits you enter, so 0.333 becomes 333/1000. For the exact repeating fraction, use the algebraic method or type enough digits for the precision you need.
Can it handle whole numbers and negatives?
Yes. A whole number such as 5 returns 5/1, and a negative decimal keeps its sign on the numerator, so -0.5 becomes -1/2.