How to use this tool
- Enter terminating decimal.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
The method, explained
Write the decimal digits as an integer over 10 raised to the number of decimal places, then divide numerator and denominator by their greatest common divisor.
Using terminating decimal = 0.125, the result is 1/8. Change these example inputs to match your task; use the method above to check each step.
Understanding your result
Yes. The entered decimal is processed as digits using integer arithmetic. An entered approximation such as 0.333 is exactly 333/1000, not 1/3.
What to keep in mind
Terminating decimals only; repeating notation and scientific notation are not accepted. Finite-precision arithmetic is used. Check the domain and the stated convention before using an approximation.
Common questions
Is the fraction exact?
Yes. The entered decimal is processed as digits using integer arithmetic. An entered approximation such as 0.333 is exactly 333/1000, not 1/3.
How can I check the result?
Write the decimal digits as an integer over 10 raised to the number of decimal places, then divide numerator and denominator by their greatest common divisor. The worked example uses editable inputs. Calculations run on your device; no external API or account is required.
Methodology maintained by ClarityKit. How these tools are built and checked.