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Simplifying Fractions

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Lesson Details

Grade Level
3-5
Duration (minutes)
1
Summary
A Grade 3-5 math lesson teaching students how to simplify a fraction by finding the greatest common factor (GCF) of the numerator and denominator, then dividing both by it, using 8/12 simplified to 2/3 as the worked example, including how to check if a fraction is fully simplified.

Factors of 8 and factors of 12 shown with common factors highlighted, identifying the greatest common factor as 4, followed by dividing 8/12 by 4 to get 2/3, checked and confirmed as fully simplified

Student Worksheet: Simplifying Fractions

Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!

Key Concepts:

• Simplifying: Making the numbers in a fraction smaller while keeping the same value.

• Greatest Common Factor (GCF): The largest number that divides evenly into both the numerator and denominator.

• The Process: List the factors of both numbers, find the common factors, identify the greatest one, then divide both the numerator and denominator by it.

• Checking Your Work: A fraction is fully simplified when the only common factor of the numerator and denominator is 1.

Instructions: Read each question carefully and write your answer in the space provided.

  1. Question 1: List the factors of 8 and the factors of 12.
  2. Question 2: What are the common factors of 8 and 12? What is the greatest common factor?
  3. Question 3: Divide 8 and 12 by their GCF. What fraction do you get?
  4. Question 4: How do you know that 2/3 is fully simplified?
  5. Question 5: Why do you divide both the numerator and denominator by the same number when simplifying?
Click to reveal Teacher Answer Key

1. Factors of 8: 1, 2, 4, 8. Factors of 12: 1, 2, 3, 4, 6, 12.

2. Common factors: 1, 2, and 4. Greatest common factor: 4.

3. 8 ÷ 4 = 2 and 12 ÷ 4 = 3, so 8/12 = 2/3.

4. Because the only common factor of 2 and 3 is 1, meaning there’s no number greater than 1 that can divide both evenly.

5. Dividing both numbers by the same amount keeps the fraction’s value the same, just written with smaller numbers.

Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.

🎯 Extension Activity: Simplify 10/15 by finding the factors of both numbers, identifying the GCF, and dividing. Then check whether your answer can be simplified any further.

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