Math
Fraction Calculator
Add, subtract, multiply, or divide two fractions. Shows simplified form, mixed number, and decimal equivalent.
Two fractions
+
Result
5/6
Decimal: 0.833333
1/2 + 1/3 = 5/6
Frequently Asked Questions about the Fraction Calculator
How do I add two fractions?
The calculator uses cross-multiplication: it multiplies each numerator by the other fraction's denominator, adds the results, places them over the product of both denominators, then reduces to lowest terms using the GCD. For example, 1/2 + 1/3 becomes (1x3 + 1x2) / (2x3) = 5/6.
How do I multiply fractions?
Multiply the two numerators together and the two denominators together, then simplify. For 2/3 x 4/5: 2x4 = 8 and 3x5 = 15, giving 8/15.
What is a mixed number?
A mixed number combines a whole number with a proper fraction. The calculator shows a mixed-number form whenever the result is an improper fraction whose absolute value is greater than 1 and the remainder is non-zero, so 7/4 displays as 1 3/4.
What does simplified mean?
A simplified fraction has no common factor between its numerator and denominator other than 1, meaning it is in lowest terms. The calculator reduces every result automatically using the greatest common divisor, so 6/8 becomes 3/4.
Why can't I divide by zero?
Division by zero is undefined in mathematics. The calculator returns no result if either denominator is zero, or if you try to divide by a fraction whose numerator is zero (since that fraction equals zero).