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Adding Fractions Practice Problems with Answers

Work through the five solved problems below, then generate unlimited addition problems with like and unlike denominators.

5 adding fractions problems with answers

Each one shows the answer and the working. Try it yourself first, then check.

  1. 1.1/5 + 3/5

    Answer: 4/5

    Same denominator, so add numerators only: 1 + 3 = 4. The denominator stays 5.

    Open this problem in the calculator
  2. 2.1/2 + 1/3

    Answer: 5/6

    The LCD of 2 and 3 is 6. Rewrite as 3/6 + 2/6 = 5/6, already in simplest form.

    Open this problem in the calculator
  3. 3.3/8 + 1/4

    Answer: 5/8

    8 is already a multiple of 4, so only 1/4 changes: 1/4 = 2/8. Then 3/8 + 2/8 = 5/8.

    Open this problem in the calculator
  4. 4.5/6 + 3/4

    Answer: 19/12 (1 7/12)

    The LCD of 6 and 4 is 12. Rewrite as 10/12 + 9/12 = 19/12, which is 1 whole and 7/12.

    Open this problem in the calculator
  5. 5.2/9 + 5/6

    Answer: 19/18 (1 1/18)

    The LCD of 9 and 6 is 18. Rewrite as 4/18 + 15/18 = 19/18, or 1 1/18.

    Open this problem in the calculator

Quick Tips

  • Find a common denominator first
  • Add only the numerators when denominators are the same
  • Simplify your answer if possible
  • Use the hint button if you're stuck

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Your Practice History

Understanding Fraction Addition

How to Add Fractions

Adding fractions requires a few key steps:

  1. Check the denominators: Are they the same or different?
  2. Find a common denominator if the denominators are different
  3. Add the numerators while keeping the common denominator
  4. Simplify the result if possible

Example

Let's add 2/3 + 1/4:

  1. Different denominators, find LCD: 12
  2. Convert fractions: 2/3 = 8/12, 1/4 = 3/12
  3. Add numerators: 8 + 3 = 11
  4. Result: 11/12 (already simplified)

Adding fractions: common questions

Find the least common denominator of the two fractions, rewrite both as equivalent fractions over that denominator, then add the numerators and keep the denominator. For 5/6 + 3/4 the LCD is 12, so you add 10/12 + 9/12 to get 19/12.

The denominator names the size of the pieces, not how many you have. 1/4 + 1/4 is two quarter-pieces, so the answer is 2/4 (or 1/2), not 2/8. Adding denominators would change the piece size mid-problem.

Convert each mixed number to an improper fraction first, add as usual, then convert back. For 1 1/2 + 2/3, use 3/2 + 2/3 = 9/6 + 4/6 = 13/6, which is 2 1/6. The answer box accepts improper fractions, so 13/6 is marked correct.

The checker simplifies your answer before comparing, so 3/6 and 1/2 are both accepted. Simplifying is still the habit to build, because most teachers and tests expect the answer in lowest terms.