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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.

Addition

Add fractions with like and unlike denominators

Subtraction

Subtract fractions with like and unlike denominators

Multiplication

Multiply fractions and mixed numbers

Division

Divide fractions and mixed numbers

Simplifying

Reduce fractions to lowest terms

Equivalent

Find the missing number

Comparing

Pick <, = or >

Mixed Numbers

Mixed numbers and improper fractions

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.