Enter values and select Calculate.
Calculated result
How to use this calculator
- Enter a terminating decimal with no more than 15 decimal places.
- Select Calculate to see the simplified and improper fraction forms.
- Use the mixed-number form when a value greater than one is easier to read that way.
- Copy only the displayed calculation result when needed.
Formula and method
Digits after the decimal determine a power-of-ten denominator. The resulting integer numerator and denominator are reduced by their greatest common factor.
Worked example
For 2.75, remove the decimal to get 275/100, reduce to 11/4, and display the mixed number 2 3/4.
Assumptions and limits
- Typed decimal digits represent an exact terminating decimal.
- A string such as 0.333333 is not inferred to mean one third.
- Explicit repeating notation is deferred rather than guessed.
- Integers and negative decimals are accepted.
Understanding the result
The result follows the displayed deterministic method. Exact-integer operations use BigInt where appropriate, and any controlled precision limit is stated before the related output can be interpreted.
Common mistakes
- Expecting a rounded decimal to be treated as an exact repeating value
- Entering commas, expressions, or multiple decimal points
- Confusing a mixed number with multiplication
- Using more than the documented 15 decimal places
Methodology note
The calculator uses the arithmetic definitions shown on this page. It does not call an external calculator service, evaluate expressions, or infer unselected mathematical conventions.
This deterministic utility is a calculation aid. Confirm required notation, precision, and course or professional conventions separately.