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Fraction Calculator — result sheet
Add, subtract, multiply, or divide two signed fractions and obtain an exact reduced fraction.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: a/b + c/d = (ad + bc)/bd; subtraction replaces + with -; multiplication = ac/bd; division = ad/bc. Reduce by gcd.
Integer arithmetic keeps the fraction exact even when intermediate products exceed JavaScript's safe numeric integer range. The greatest common divisor reduces the answer to lowest terms, and any minus sign is moved to the numerator. The decimal result is only an approximation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First numerator — minimum -1000000000; maximum 1000000000
- First denominator — Zero is not allowed; negative denominators are supported.; minimum -1000000000; maximum 1000000000
- Operation — 4 choices
- Second numerator — minimum -1000000000; maximum 1000000000
- Second denominator — Must not be zero.; minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| First numerator | 1 |
| First denominator | 2 |
| Operation | add |
| Second numerator | 1 |
| Second denominator | 3 |
5/6 = 0.8333333333
Assumptions and limits
- Each numerator and denominator must be a whole number within plus or minus 1 billion.
- Denominators must be nonzero, and division by a fraction with a zero numerator is rejected.
- Zero is represented canonically as 0/1; mixed-number text is not accepted.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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