Fraction Calculator

Add, subtract, multiply or divide two fractions. See the simplified fraction, decimal result and percentage equivalent, including negative values.

Enter two fractions

Enter numerators and nonzero denominators, then choose an operation.

Your result

Fraction result

Updates automatically as you change the inputs.

Simplified result
3/4
Decimal result0.75
Percentage equivalent75%

How to use the fraction calculator

Enter the numerator and denominator for each fraction, then choose addition, subtraction, multiplication, or division. Denominators cannot be zero.

Fraction arithmetic

Calculation formulaFraction arithmetic
Used for the result above
Addition/subtraction use a common denominator. Multiplication multiplies numerators and denominators. Division multiplies by the reciprocal of the second fraction.

The result is reduced by dividing the numerator and denominator by their greatest common divisor.

Example: Ava adds two recipe quantities

Ava combines 1/2 cup and 1/4 cup. Converting 1/2 to 2/4 gives 2/4 + 1/4 = 3/4 cup. The decimal equivalent is 0.75.

For division, the second fraction is inverted before multiplication. A zero numerator in that second fraction would mean division by zero and has no defined result.

Enter each fraction as a numerator and denominator

For 1/2 + 1/3, enter 1 and 2 for the first fraction, then 1 and 3 for the second. The simplified answer is 5/6.

A denominator cannot be zero. To divide fractions, the second numerator also must not be zero. Negative signs can be entered in either part of a fraction.

Handle mixed numbers and negative fractions

Rewrite a mixed number as an improper fraction before entering it: 2½ becomes 5/2. A negative numerator can represent a negative fraction, such as -3/4.

Division uses the reciprocal of the second fraction. Dividing 1/2 by 3/4 gives 1/2 × 4/3 = 2/3. A zero denominator is undefined, and division by a zero-valued fraction is also undefined.

Assumptions and limitations

What the estimate assumes

This tool works with numeric fractions, not algebraic expressions.

Fraction Calculator FAQs

How do you add fractions with different denominators?

Rewrite the fractions using a common denominator, add the numerators, then simplify.

How do you divide fractions?

Multiply the first fraction by the reciprocal of the second fraction.

Why can't a denominator be zero?

Division by zero is undefined, so a fraction cannot have a zero denominator.

Does the calculator simplify fractions?

Yes. It reduces the final numerator and denominator by their greatest common divisor.

For arithmetic and educational use.