Adding Fractions Calculator (Shows Steps)

To add two fractions, they need the same denominator first. This calculator finds the least common denominator, converts both fractions to it, adds the numerators, then simplifies the answer — showing every step along the way.

Enter a whole number (3), a fraction (3/4), or a mixed number (1 1/2).

1 1/2 + 2/3 = 13/6 (2 1/6)

  1. Find a common denominator: 2 and 3 → 6
  2. Convert 3/2 to 9/6
  3. Convert 2/3 to 4/6
  4. Add numerators: 9 + 4 = 13
  5. 13/6
  6. As a mixed number: 2 1/6

How it works

  1. Find the least common denominator (LCD) of both fractions.
  2. Convert each fraction so it has that denominator.
  3. Add the numerators; keep the denominator the same.
  4. Simplify the result, and convert to a mixed number if it's improper.

Frequently asked questions

How do you add fractions with different denominators?
Find the least common denominator, rewrite both fractions with that denominator, then add the numerators. This calculator does that automatically and shows each conversion.
How do you add mixed numbers?
Enter each mixed number as, for example, "1 1/2" — the calculator converts it to an improper fraction internally, adds normally, then converts the answer back to a mixed number.