Convert a decimal to a simplified fraction, and back.
Calculated locally in your browser.
How do you convert a decimal to a fraction?
Write the decimal over a power of ten, then reduce it by the greatest common divisor to lowest terms; a mixed number is shown when the value exceeds one. For example, 0.75 = 3/4 and 1.25 = 5/4 (1 1/4). To go the other way, divide a fraction a/b: 3/4 = 0.75.
Understanding your result
The fraction is always reduced to lowest terms, and a mixed number is shown when the value is greater than one.
Formula and method
A decimal is written over a power of ten then reduced by the greatest common divisor. A fraction a/b converts to a decimal by dividing a by b.
Assumptions and limitations
This tool converts terminating decimals to an exact fraction in lowest terms and converts fractions back to decimals. Repeating decimals must be entered fully; a truncated input like 0.333 yields 333/1000, not one third. Irrational values such as pi cannot be written as an exact fraction, and very long decimals are limited by standard floating-point precision.
Worked example
0.75 = 3/4; 1.25 = 5/4 (mixed: 1 1/4); 3/4 = 0.75.
How to use this tool
- Choose the direction.
- Enter a decimal (0.75) or a fraction (3/4).
- Read the converted value.
Common mistakes to avoid
- Very long repeating decimals are rounded to a close fraction rather than an exact one.
About the Decimal to Fraction
Convert a decimal number into its simplest fraction (and mixed number), or convert a fraction back into a decimal.
Who should use this tool
Students, cooks and anyone working between decimals and fractions.
Benefits
- Reduces every fraction to its lowest terms automatically
- Shows a mixed number when the value exceeds one
- Converts in both directions, decimal to fraction and back
- Runs entirely in your browser for private, instant results
Practical use cases
- Turning a measurement decimal into a workshop-ready fraction
- Checking homework answers in fraction and decimal form
- Converting recipe amounts between decimals and fractions
- Reading imperial rule markings from a decimal reading
Frequently asked questions
Does it simplify the fraction?
Yes, to lowest terms, with a mixed number when applicable.
Can it convert fractions to decimals?
Yes — switch the direction and enter a fraction like 3/4.
Can it convert repeating decimals exactly?
Only if you tell it the pattern repeats; a typed decimal like 0.6667 is treated as an exact terminating value and converted literally. A true repeating decimal such as 0.6666... equals 2/3, but the tool cannot infer the repetition from a rounded entry. Enter the exact fraction directly when you need the repeating form.