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Simplifying Fractions Worksheet with Answers

Divide the numerator and the denominator by their greatest common factor. The answer key is at the end of the worksheet.

Name: _________________________ Date: _________________________

Part 1: Simplify to Lowest Terms

Instructions: Write each fraction in its lowest terms.

  1. 4/8 = __________
  2. 6/9 = __________
  3. 10/15 = __________
  4. 12/16 = __________
  5. 8/20 = __________
  6. 9/12 = __________
  7. 14/21 = __________
  8. 15/25 = __________
  9. 18/24 = __________
  10. 20/30 = __________

Part 2: Find the GCF First

Instructions: Write the greatest common factor of the numerator and denominator, then use it to simplify the fraction.

  1. 12/30   GCF: ______   Simplified: __________
  2. 16/24   GCF: ______   Simplified: __________
  3. 25/40   GCF: ______   Simplified: __________
  4. 27/36   GCF: ______   Simplified: __________
  5. 32/48   GCF: ______   Simplified: __________
  6. 45/60   GCF: ______   Simplified: __________

Part 3: Already in Lowest Terms?

Instructions: Write "Yes" if the fraction is already in lowest terms. If not, write "No" and simplify it.

  1. 3/7 = __________
  2. 6/10 = __________
  3. 5/9 = __________
  4. 14/35 = __________
  5. 11/13 = __________
  6. 21/28 = __________

Part 4: Improper Fractions

Instructions: Simplify each improper fraction, then write it as a mixed number.

  1. 10/4   Simplified: ________   Mixed number: ________
  2. 18/12   Simplified: ________   Mixed number: ________
  3. 14/6   Simplified: ________   Mixed number: ________
  4. 30/8   Simplified: ________   Mixed number: ________
  5. 22/10   Simplified: ________   Mixed number: ________
  6. 36/15   Simplified: ________   Mixed number: ________

Part 5: Word Problems

Instructions: Write the fraction each problem describes, then give it in lowest terms.

  1. 12 of the 16 students in a class walked to school. What fraction of the class walked?
    Answer: __________
  2. A recipe calls for 6 of the 8 cups of flour in a bag. What fraction of the bag is used?
    Answer: __________
  3. A pizza is cut into 12 slices and 8 slices are eaten. What fraction of the pizza is eaten?
    Answer: __________
  4. A lesson takes 45 minutes of a 60 minute class. What fraction of the class does it take?
    Answer: __________
  5. Priya read 15 of the 25 books on her list. What fraction of the list did she read?
    Answer: __________

Part 6: Challenge Problems

Instructions: These have larger numbers. Simplify each fraction fully.

  1. 48/64 = __________
  2. 54/81 = __________
  3. 63/72 = __________
  4. 56/98 = __________
  5. 75/100 = __________
  6. 84/126 = __________

Answer Key

Part 1: 1. 1/2, 2. 2/3, 3. 2/3, 4. 3/4, 5. 2/5, 6. 3/4, 7. 2/3, 8. 3/5, 9. 3/4, 10. 2/3

Part 2: 1. GCF 6, 2/5; 2. GCF 8, 2/3; 3. GCF 5, 5/8; 4. GCF 9, 3/4; 5. GCF 16, 2/3; 6. GCF 15, 3/4

Part 3: 1. Yes, 2. No, 3/5; 3. Yes, 4. No, 2/5; 5. Yes, 6. No, 3/4

Part 4: 1. 5/2 = 2 1/2, 2. 3/2 = 1 1/2, 3. 7/3 = 2 1/3, 4. 15/4 = 3 3/4, 5. 11/5 = 2 1/5, 6. 12/5 = 2 2/5

Part 5: 1. 12/16 = 3/4, 2. 6/8 = 3/4, 3. 8/12 = 2/3, 4. 45/60 = 3/4, 5. 15/25 = 3/5

Part 6: 1. 3/4, 2. 2/3, 3. 7/8, 4. 4/7, 5. 3/4, 6. 2/3

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