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Fraction Calculator

Free fraction calculator: add, subtract, multiply or divide two fractions and get the simplified result, mixed number, decimal and percentage in seconds.

Fractions appear whenever you split things up: halving a recipe, cutting a board to 3/4 of an inch, or working out 2/3 of a bill. Doing the math by hand — especially adding fractions with different denominators — is where most mistakes happen.

This fraction calculator adds, subtracts, multiplies and divides two fractions, then reduces the answer to its simplest form automatically. It also shows the mixed number, the decimal value and the percentage.

Students can check homework step by step, cooks scale recipes, and DIYers work with measurements without converting to decimals.

Enter the numerator and denominator of each fraction, choose an operation, and the simplified result updates instantly.

Example
Example: 3/4 + 1/2

3/4 + 1/2 = (3×2 + 1×4) / (4×2) = 10/8
10/8 = 5/4 (divide by the GCD 2)

Results: simplified fraction 5/4, mixed number 1 1/4, decimal 1.25, percentage 125%.

Key Insight: The result is always in lowest terms — the calculator simplifies automatically, so you never need to reduce by hand.

Frequently Asked Questions

How do I add fractions with different denominators?

Multiply the denominators to get a common denominator, then add the numerators: a/b + c/d = (a×d + c×b)/(b×d). Example: 3/4 + 1/2 = (6 + 4)/8 = 10/8 = 5/4.

How do I simplify a fraction?

Divide the numerator and denominator by their greatest common divisor. 12/16 shares a GCD of 4, so it becomes 3/4.

How do I convert an improper fraction to a mixed number?

Divide the numerator by the denominator: 7 ÷ 4 = 1 with remainder 3, so 7/4 = 1 3/4. The calculator shows the mixed form automatically.

Can a fraction have a zero denominator?

No. Division by zero is undefined, so the calculator treats a denominator of 0 as invalid and shows no result.

The tool works with whole numbers and fractions; denominators cannot be 0. Fraction results are exact values, not approximations.

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