½ Fraction Calculator
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🔢 Simplify a Fraction
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Fraction Rules
Addition/Subtraction: a/b ± c/d = (a×d ± c×b) / (b×d), then simplify.
Multiplication: a/b × c/d = (a×c) / (b×d), then simplify.
Division: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c), then simplify.
Frequently Asked Questions
To add fractions: find a common denominator, convert both fractions, then add the numerators. Example: 1/3 + 1/4 → common denominator is 12 → 4/12 + 3/12 = 7/12. This calculator handles it automatically.
Multiply numerator × numerator and denominator × denominator: (a/b) × (c/d) = (a×c)/(b×d). Example: 2/3 × 3/4 = 6/12 = 1/2. Always simplify the result by dividing by the GCD (greatest common divisor).
A mixed number combines a whole number and a fraction: 2½ means 2 + 1/2. To convert to an improper fraction: multiply the whole number by the denominator and add the numerator: 2½ = (2×2+1)/2 = 5/2.
Divide both numerator and denominator by their GCD (Greatest Common Divisor). Example: 12/18 → GCD is 6 → 12÷6 / 18÷6 = 2/3. This calculator automatically simplifies all results to lowest terms.