Add, Subtract, Multiply & Divide Fractions

Fraction Operations

Addition/Subtraction: Find a common denominator, add/subtract numerators, simplify. 3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 5/12. Multiplication: Multiply numerators, multiply denominators, simplify. 3/4 × 2/3 = 6/12 = 1/2. Division: Flip the second fraction and multiply. 3/4 ÷ 2/3 = 3/4 × 3/2 = 9/8 = 1 1/8.

Simplifying Fractions

Divide both numerator and denominator by their Greatest Common Divisor (GCD). 6/12: GCD(6,12) = 6, so 6/12 = 1/2. A fraction is fully simplified when the GCD of numerator and denominator is 1. Every fraction calculator result above is automatically simplified to lowest terms.