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Adding and Subtracting Fractions — result sheet
Add or subtract two fractions with a least-common-denominator walkthrough, reduced exact answer, mixed-number form, and decimal check.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a/c ± b/d, use the least common denominator L = lcm(|c|,|d|), rewrite each fraction over L, combine the numerators, and reduce the result by their greatest common divisor.
This focused fraction tool makes the common-denominator step visible instead of returning only a final number. It accepts signed numerators and denominators, normalizes denominator signs, shows the equivalent fractions over the LCD, and reports an exact reduced result alongside its decimal value.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Operation — 2 choices
- First numerator — minimum -1000000; maximum 1000000
- First denominator — minimum -1000000; maximum 1000000
- Second numerator — minimum -1000000; maximum 1000000
- Second denominator — minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Operation | subtract |
| First numerator | 5 |
| First denominator | 6 |
| Second numerator | 1 |
| Second denominator | 4 |
The LCD is 12: 5/6 = 10/12 and 1/4 = 3/12, so 5/6 − 1/4 = 7/12 ≈ 0.583333.
Assumptions and limits
- Both denominators are nonzero integers and the two fractions use the same arithmetic unit.
- The least common denominator is the least common multiple of the absolute denominator values.
- The decimal is a numerical check; the reduced fraction remains the exact answer.
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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