Simplifying Fractions Worksheet

Practice simplifying fractions to their lowest terms.

Name: _________________________ Date: _________________________

Part 1: Basic Addition

Instructions: Add the following fractions. Write your answer in the simplest form.

  1. 1/5 + 2/5 = __________
  2. 3/8 + 4/8 = __________
  3. 2/7 + 3/7 = __________
  4. 5/12 + 6/12 = __________
  5. 4/9 + 1/9 = __________
  6. 3/10 + 3/10 = __________
  7. 2/6 + 3/6 = __________
  8. 1/4 + 2/4 = __________
  9. 5/11 + 4/11 = __________
  10. 7/15 + 5/15 = __________

Part 2: Word Problems

Instructions: Read each word problem and solve for the sum of the fractions.

  1. Mia ate 1/4 of a cake, and her brother ate 2/4. How much of the cake did they eat together?
    Answer: __________
  2. A gardener planted 3/7 of a row of flowers in the morning and 2/7 in the afternoon. How much of the row was planted in total?
    Answer: __________
  3. On Monday, Jack read 2/5 of a book, and on Tuesday, he read another 1/5. What fraction of the book did he read over the two days?
    Answer: __________
  4. A pizza is divided into 8 equal slices. If Sarah eats 3 slices and Tom eats 2 slices, what fraction of the pizza did they eat together?
    Answer: __________
  5. In a class of 20 students, 3/10 of the students are boys, and 4/10 are girls. What fraction of the class is made up of boys and girls?
    Answer: __________

Part 3: Visual Addition

Instructions: Read the descriptions of the fraction bars or circles below. Each represents a fraction. Add the fractions and write the sum.

  1. Two fraction bars, each divided into 6 equal parts. The first bar has 2 parts shaded, and the second has 3 parts shaded.
    Sum: __________
  2. Two circles, each divided into 4 equal sections. The first circle has 1 section shaded, and the second has 2 sections shaded.
    Sum: __________
  3. Two rectangles, each divided into 5 equal parts. The first rectangle has 3 parts shaded, and the second has 1 part shaded.
    Sum: __________
  4. Two fraction bars, each divided into 9 equal parts. The first bar has 4 parts shaded, and the second has 2 parts shaded.
    Sum: __________
  5. Two circles, each divided into 3 equal sections. The first circle has 1 section shaded, and the second has 1 section shaded.
    Sum: __________

Part 4: Adding to Make Improper Fractions

Instructions: Add the fractions below. If the sum is an improper fraction, leave it as is or convert it to a mixed number.

  1. 5/4 + 3/4 = __________
  2. 7/6 + 5/6 = __________
  3. 4/3 + 2/3 = __________
  4. 9/8 + 5/8 = __________
  5. 11/10 + 7/10 = __________
  6. 6/5 + 4/5 = __________
  7. 8/7 + 6/7 = __________
  8. 10/9 + 8/9 = __________
  9. 13/12 + 11/12 = __________
  10. 15/14 + 13/14 = __________

Part 5: Challenge Problems

Instructions: These problems are a bit trickier. Add the fractions and simplify the answer if possible.

  1. 9/12 + 5/12 = __________
  2. 11/15 + 7/15 = __________
  3. 8/10 + 6/10 = __________
  4. 13/20 + 9/20 = __________
  5. 7/9 + 5/9 = __________
  6. 10/16 + 6/16 = __________
  7. 12/18 + 8/18 = __________
  8. 15/25 + 10/25 = __________
  9. 14/21 + 7/21 = __________
  10. 16/24 + 12/24 = __________