Finite Decimal to Exact Fraction
Conversion
Convert with explicit units, definitions and assumptions.
Formula
A finite decimal with k decimal places is an integer divided by 10ᵏ; reduce by GCD.
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Converts the exact entered decimal; does not infer repeating decimals.
Example Calculation
Example inputs
- Decimal: 0.125
0.125 = 125/1000 = 1/8.
Frequently asked questions
How do I use this calculator?
Enter decimal. The result updates automatically. Use Reset to restore the example values.
What method does it use?
A finite decimal with k decimal places is an integer divided by 10ᵏ; reduce by GCD.. Converts the exact entered decimal; does not infer repeating decimals.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.