Fraction Calculator
Add, subtract, multiply and divide fractions with a simplified result.
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How it works
Enter two fractions and an operation. The calculator performs the arithmetic with whole-number numerators and denominators, then reduces the answer to lowest terms by dividing both parts by their greatest common divisor (found with the Euclidean algorithm). The result is shown both as an improper fraction and, when applicable, as a mixed number. Because it works with exact integers rather than decimals, there is no rounding error. All computation happens locally in your browser.
a/b + c/d = (a·d + c·b) / (b·d), then reduce by gcd
Common use cases
- Adding recipe fractions like 3/4 cup plus 2/3 cup.
- Helping with homework that requires exact fraction answers.
- Combining measurements in inches and fractions of an inch.
Frequently asked questions
Does it simplify the answer?
Yes. The result is automatically reduced to lowest terms using the greatest common divisor, and also shown as a mixed number when the fraction is improper.
Can it handle negative fractions?
Yes. Enter a negative numerator and the sign is carried through the calculation and into the simplified result.
Are the results exact?
Yes. The calculator uses integer arithmetic on numerators and denominators, so there is no decimal rounding — the answer is mathematically exact.