Fraction Calculator

The fraction calculator adds, subtracts, multiplies, or divides two fractions and simplifies the answer. It is useful for homework checks, recipes, woodworking measurements, construction cuts, and any situation where an exact fractional answer is clearer than a rounded decimal.

How to use this calculator

Enter the First numerator and First denominator, choose an Operation, then enter the Second numerator and Second denominator. Denominators cannot be zero, and division by a zero numerator in the second fraction is not allowed. The output includes the simplified Fraction, a Mixed number, and a Decimal.

How it works

Addition and subtraction use a common denominator. Multiplication multiplies numerators together and denominators together. Division flips the second fraction and then multiplies.

For example, 1/2 + 1/3 becomes 3/6 + 2/6, which equals 5/6. Multiplying 2/3 × 5/4 gives 10/12, which simplifies to 5/6.

Reading the result

A simplified result has no common factor left between numerator and denominator, and the denominator is kept positive. Improper fractions are valid, but mixed numbers can be easier for everyday quantities. For more numerical tools, see the percentage calculator, long division calculator, and statistics calculator.

Common mistakes

Adding denominators directly.
Forgetting the reciprocal step for division.
Rounding the decimal when an exact fraction is needed.

Frequently asked questions

What fraction operations can this calculator perform?

It can add, subtract, multiply, and divide two fractions, then show the simplified fraction, mixed number, and decimal.

Can the denominator be zero?

No. A denominator of zero is undefined, and the calculator rejects it.

How does fraction division work?

To divide by a fraction, multiply by its reciprocal. For example, 2 thirds divided by 4 fifths becomes 2 thirds times 5 fourths.

What is 1 half plus 1 third?

Use a common denominator of 6. The result is 3 sixths plus 2 sixths, which simplifies to 5 sixths.