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Fraction Calculator

Add, subtract, multiply, or divide two fractions. Results are simplified automatically.

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5
6
Decimal: 0.833333

How fraction arithmetic works

Addition and subtraction

Fractions must share a common denominator. Find the least common multiple (LCM) of both denominators, convert each fraction, then add or subtract the numerators.

1/3 + 1/4 → 4/12 + 3/12 = 7/12

Multiplication

Multiply numerators together and denominators together, then simplify.

2/3 × 3/4 = 6/12 = 1/2

Division

Flip (invert) the second fraction and multiply. "Divide by a fraction" means "multiply by its reciprocal."

2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6

Simplification (reducing to lowest terms)

Divide both the numerator and denominator by their Greatest Common Divisor (GCD). The fraction is in lowest terms when GCD = 1.

12/18 → GCD(12,18) = 6 → 12/6 ÷ 18/6 = 2/3

Frequently Asked Questions

Find the least common denominator (LCD) of both fractions, convert each fraction to that denominator, then add the numerators and keep the denominator. Example: 1/2 + 1/3 → LCD=6 → 3/6 + 2/6 = 5/6.