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Fraction Calculator

Perform addition, subtraction, multiplication or division on two fractions, with the result automatically simplified.

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How It Works

How fraction operations work

Adding and subtracting fractions requires a common denominator, achieved by cross-multiplying: a/b + c/d = (a×d + c×b) / (b×d). Multiplying fractions is simpler: multiply numerators together and denominators together. Dividing by a fraction is the same as multiplying by its reciprocal.

Simplifying fractions automatically

After calculating the result, this tool automatically simplifies the fraction by dividing both numerator and denominator by their greatest common divisor, so results like 4/8 are shown as the simplified 1/2.

Frequently Asked Questions

Can I use negative numbers?

Yes, this calculator supports negative numerators and denominators for all four operations.

Why is my result automatically simplified?

Simplifying to lowest terms is standard mathematical practice and makes the result easier to read and use in further calculations.

Related Tools

Percentage Calculator

Calculate percentages instantly.

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