Fraction Calculator

Add, subtract, multiply or divide two fractions — the result updates as you type, always fully simplified.

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How to use this calculator

Choose an operation with the tabs, then enter the numerator and denominator for each fraction. The result is always shown in simplest form, along with its decimal equivalent and mixed number form when applicable.

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Result

Adding and subtracting fractions

To add or subtract fractions with different denominators, first convert them to a common denominator by cross-multiplying, then add or subtract the numerators.

a/b + c/d = (a×d + c×b) / (b×d)

The result is then reduced to its simplest form by dividing both numerator and denominator by their greatest common divisor (GCD).

Multiplying fractions

Multiplying fractions is the most direct operation — multiply the numerators together, and multiply the denominators together.

a/b × c/d = (a×c) / (b×d)
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Dividing fractions

Dividing by a fraction is the same as multiplying by its reciprocal (flipping the numerator and denominator of the second fraction).

a/b ÷ c/d = a/b × d/c = (a×d) / (b×c)

Simplifying and mixed numbers

Every result on this page is automatically reduced using the greatest common divisor, so you always get the simplest possible fraction. When the numerator is larger than the denominator, the tool also shows the equivalent mixed number (a whole number plus a proper fraction).

Frequently asked questions

Can I use negative numbers?

Yes — enter a negative numerator or denominator and the calculator handles the sign correctly, always normalizing so the denominator of the result is positive.

Why is my result shown as a whole number with no denominator shown as 1?

When a fraction simplifies exactly to a whole number, the denominator becomes 1 — for example, 6/3 simplifies to 2/1, shown simply as the whole number 2.