Formula
- 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.
- Exact integer arithmetic; bounded greedy expansion, not necessarily the shortest representation.
Example Calculation
- Numerator: 4
- Denominator: 13
Numerator = 4; Denominator = 13. Primary result: 1/4 + 1/18 + 1/468.
Frequently asked questions
How do I use this calculator?
Enter numerator, denominator. The result updates automatically. Use Reset to restore the example values.
What method does it use?
Repeatedly subtract 1/ceil(denominator/numerator), reducing each remainder.. Exact integer arithmetic; bounded greedy expansion, not necessarily the shortest representation.
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.