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Fraction Calculator

Add, subtract, multiply, and divide fractions with automatic simplification.

Enter Fractions

1/2 = 0.5000

1/3 = 0.3333

Result

Simplified Result
5/6
= 0.8333
Unsimplified
5/6
Decimal
0.833333
Calculation
1/2 + 1/3
= 5/6
= 5/6

Fraction Operations

Addition & Subtraction

  • Find common denominator: a/b ± c/d = (a×d ± c×b) / (b×d)
  • Example: 1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6

Multiplication

  • Multiply numerators and denominators: (a/b) × (c/d) = (a×c) / (b×d)
  • Example: 1/2 × 1/3 = 1/6

Division

  • Multiply by reciprocal: (a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d) / (b×c)
  • Example: 1/2 ÷ 1/3 = 1/2 × 3/1 = 3/2

Simplifying Fractions

  • Find GCD (Greatest Common Divisor) of numerator and denominator
  • Divide both by GCD
  • Example: 6/8 → GCD(6,8) = 2 → 3/4