Fraction Calculator

Adding Fractions

• Same denominator: Add numerators, keep denominator
• Different denominators: Find common denominator first
• Example: ½ + ⅓ = 3/6 + 2/6 = 5/6

Subtracting Fractions

• Same denominator: Subtract numerators, keep denominator
• Different denominators: Find common denominator first
• Example: ¾ - ½ = ¾ - 2/4 = ¼

Mixed Numbers

• Convert to improper: Multiply whole by denominator, add numerator
• Example: 2½ = (2×2+1)/2 = 5/2
• Convert back: Divide numerator by denominator

Multiplying Fractions

• Method: Multiply numerators, multiply denominators
• Simplify: Reduce to lowest terms
• Example: ½ × ⅔ = (1×2)/(2×3) = 2/6 = ⅓

Dividing Fractions

• Method: Multiply by reciprocal of second fraction
• Reciprocal: Flip numerator and denominator
• Example: ½ ÷ ⅓ = ½ × 3/1 = 3/2 = 1½

Simplifying Fractions

• Find GCD: Greatest common divisor of numerator and denominator
• Divide both: By the GCD to get simplest form
• Example: 6/8 = (6÷2)/(8÷2) = ¾