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Fraction Calculator

Add, subtract, multiply, divide and simplify fractions.

Inputs
Enter your values below.
Result
Your answer appears here.

Enter values and press Calculate — the result appears here.

How it works
The formula behind this calculator.

a/b ± c/d = (a·d ± b·c) / (b·d); simplify by GCD

a, b, c, d
Numerators and denominators of the two fractions

To add or subtract fractions, find a common denominator, combine the numerators, then simplify by dividing by the GCD.

Example: 1/4 + 1/6 = (1·6 + 1·4) / 24 = 10/24 = 5/12

Ref: Elementary arithmetic

Tips
  • 💡 Always simplify the result to lowest terms. Divide both numbers by their GCD.
  • 💡 For mixed numbers, convert to an improper fraction first: a + b/c = (a·c + b)/c.

FAQ

Can I add fractions with different denominators?

Yes. Find the LCM of the denominators, convert each fraction, then add the numerators.

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