Fraction Calculator
Perform operations on fractions including addition, subtraction, multiplication, and division with automatic simplification.
How do you add fractions with different denominators?
Find common denominator (usually multiply denominators), convert both fractions, then add numerators. Example: 1/2 + 3/4 -> Common denominator = 4 -> (2/4) + (3/4) = 5/4 = 1¼. Formula: a/b + c/d = (ad + bc) / bd. Then simplify. Calculator handles this automatically - just enter your fractions!
How do you multiply and divide fractions?
Multiply: Multiply numerators, multiply denominators, then simplify. (a/b) x (c/d) = (axc) / (bxd). Example: (2/3) x (3/4) = 6/12 = 1/2. Divide: Flip second fraction and multiply. (a/b) / (c/d) = (a/b) x (d/c). Example: (1/2) / (3/4) = (1/2) x (4/3) = 4/6 = 2/3. Division is "keep, change, flip."
How do you simplify fractions?
Divide both numerator and denominator by their GCD (Greatest Common Divisor). Example: 12/18 -> GCD = 6 -> 12/6 = 2, 18/6 = 3 → 2/3. Quick check: Both even? Divide by 2. Both end in 0 or 5? Divide by 5. Keep going until no common factors remain. Calculator automatically shows simplified form.
How do I convert between fractions, decimals, and percentages?
Fraction to decimal: Divide numerator by denominator. 3/4 = 0.75. Decimal to fraction: Write over power of 10, simplify. 0.75 = 75/100 = 3/4. Decimal to percent: Multiply by 100. 0.75 = 75%. Percent to decimal: Divide by 100. 75% = 0.75. Percent to fraction: Write over 100, simplify. 75% = 75/100 = 3/4.