Add Fractions Calculator

Add two fractions with different denominators. Get a complete step-by-step solution showing how to find the common denominator and simplify.

Popular Fraction Additions

1/2 + 1/3 → 1/2 + 1/4 → 1/3 + 1/4 → 2/3 + 1/4 → 3/4 + 1/2 → 1/4 + 1/4 → 1/3 + 1/6 → 2/5 + 1/3 → 1/6 + 1/3 → 3/8 + 1/4 → 5/6 + 1/3 → 2/3 + 3/4 →

Adding fractions requires finding a common denominator first. Follow these steps:

The LCD is the smallest number that both denominators divide into evenly. For 1/2 + 1/3, the LCD of 2 and 3 is 6.

Multiply the numerator and denominator of each fraction to get the LCD:

1/2 = 3/6 (multiply by 3/3) and 1/3 = 2/6 (multiply by 2/2)

Once denominators match, add the numerators: 3/6 + 2/6 = 5/6

Reduce the fraction to lowest terms by dividing by the GCD.