Fraction Calculator
Enter two fractions and choose an operation to add, subtract, multiply or divide them. The result is simplified automatically and shown as a proper fraction, improper fraction or mixed number.
Fraction Calculator
Add, subtract, multiply or divide fractions
Results are computed using standard fraction arithmetic and simplified by dividing numerator and denominator by their greatest common divisor.
How Fraction Arithmetic Works
To add or subtract fractions, find a common denominator, then combine the numerators:
a/b + c/d = (ad + bc) / bd
a/b − c/d = (ad − bc) / bd
To multiply, multiply numerators and denominators:
a/b × c/d = ac / bd
To divide, multiply by the reciprocal:
a/b ÷ c/d = a/b × d/c = ad / bc
The result is simplified by dividing numerator and denominator by their greatest common divisor (GCD). If the numerator is larger than the denominator, the result can also be shown as a mixed number.
- Add/subtract: common denominator, combine numerators
- Multiply: numerators × numerators, denominators × denominators
- Divide: multiply by the reciprocal of the second fraction
- Result simplified using GCD
Worked Example
Example: 1/2 + 1/3
- Common denominator: 2 × 3 = 6 - Convert: 1/2 = 3/6, 1/3 = 2/6 - Add: 3/6 + 2/6 = 5/6 - Result: 5/6 (already simplified) - Decimal: 0.833... - Mixed number: 5/6
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Open calculator →Frequently Asked Questions
Can I use negative fractions?
Yes. Enter a negative numerator for a negative fraction. Denominators must be positive whole numbers.
What is a mixed number?
A mixed number combines a whole number and a fraction, e.g. 7/4 = 1 3/4.
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