Fraction Arithmetic Calculator
Fraction Arithmetic with stated conventions, validation and a worked example.
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 uses BigInt. Enter signed decimal integers of at most 200 digits unless a different limit is stated. Decimal approximations are explicitly labelled.
Example Calculation
- Numerator a: 1
- Denominator b: 2
- Numerator c: 1
- Denominator d: 3
- Operation: Add
1/2+1/3=(3+2)/6=5/6.
Frequently asked questions
How do I use this calculator?
Enter numerator a, denominator b, numerator c, denominator d, operation. The result updates automatically. Use Reset to restore the example values.
What method does it use?
a/b ± c/d = (ad ± bc)/(bd); product = ac/bd; quotient = ad/bc. Exact integer arithmetic uses BigInt. Enter signed decimal integers of at most 200 digits unless a different limit is stated. Decimal approximations are explicitly labelled.
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.