Fraction Calculator

Free online fraction calculator to add, subtract, multiply, divide, and simplify fractions. Perform fraction operations with step-by-step calculation and explanation.

=
* lcm = least common multiple

How to Calculate Fractions?

Fractions represent parts of a whole number. They consist of a numerator (top number) and a denominator (bottom number). Understanding fraction operations is essential for many mathematical calculations.

Adding Fractions:

  • Find a common denominator for both fractions
  • Convert both fractions to have the same denominator
  • Add the numerators and keep the common denominator

3/4 + 1/2 = (3×2 + 1×4)/(4×2) = 10/8 = 5/4

Multiplying Fractions:

  • Multiply the numerators together
  • Multiply the denominators together

5/6 × 2/3 = (5×2)/(6×3) = 10/18 = 5/9

Simplifying Fractions:

  • Find the greatest common divisor (GCD) of numerator and denominator
  • Divide both numerator and denominator by the GCD

12/18 = (12÷6)/(18÷6) = 2/3

Common fraction values

Fraction Decimal Percentage
1/2 0.5 50%
1/3 0.333... 33.33%
1/4 0.25 25%
1/5 0.2 20%
2/3 0.666... 66.67%
3/4 0.75 75%
4/5 0.8 80%