Fraction Calculator
The Fraction Calculator adds, subtracts, multiplies, or divides two fractions and automatically simplifies the result to its lowest terms.
Result
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Decimal Equivalent--
Fraction operation formulas
Addition: a/b + c/d = (ad + bc) / bd
Subtraction: a/b − c/d = (ad − bc) / bd
Multiplication: a/b × c/d = ac / bd
Division: a/b ÷ c/d = ad / bc
After computing the result, the calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by it to simplify the fraction to lowest terms.
Example: 1/2 + 3/4 = (1×4 + 3×2) / (2×4) = 10/8, which simplifies to 5/4 (or 1.25 as a decimal).
Working with mixed numbers
To use a mixed number like 2¾, convert it to an improper fraction first (2¾ = 11/4) before entering it. Need percentages instead? Try our Percentage Calculator.