Fraction arithmetic
Fraction arithmetic: use first numerator, first denominator, operation. Review the formula, worked example and calculation steps.
Inputs
Use the units shown—
Enter your values and select Calculate.
Formula & explanation
a/b ± c/d = (ad ± bc)/bd; a/b × c/d = ac/bd; a/b ÷ c/d = ad/bc
Variables & units
- First numerator
- Numeric value · minimum -1000000, maximum 1000000
- First denominator
- Numeric value · minimum 1, maximum 1000000
- Operation
- Select an option
- Second numerator
- Numeric value · minimum -1000000, maximum 1000000
- Second denominator
- Numeric value · minimum 1, maximum 1000000
Worked example
1/2 + 1/3 = 5/6 ≈ 0.833333.
Assumptions
Whole-number numerators and positive denominators. The steps show the exact reduced fraction; the headline shows a rounded decimal.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
Use the default input values to find the answer. The reset icon restores those values.
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