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Fraction Division Models

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Fraction Division Models

Fraction bars and circles illustration

🎯 Learning Goal

I can use fraction models to understand and solve division problems involving fractions.

I can explain how many times one fraction fits into another using fraction bars or circles.

📊 Part 1: Understanding Fraction Division Models

1. Look at this fraction division problem: ½ ÷ ¼ = ?

This means: "How many ¼ pieces fit into ½?"

1

2

3

4

2. When we divide ¾ ÷ ¼, we are asking:

How many fourths fit into three-fourths?

What is three-fourths plus one-fourth?

What is three-fourths minus one-fourth?

What is three-fourths times one-fourth?

3. Using fraction bars, ⅔ ÷ ⅓ = ?

Hint: How many ⅓ pieces fit into ⅔?

1

2

3

6

4. Which fraction division problems would have an answer of 4?

1 ÷ ¼

½ ÷ ⅛

¾ ÷ ¼

⅔ ÷ ⅙

✏️ Part 2: Show Your Work

5. Draw or describe how you would model ½ ÷ ⅛ using fraction bars.

Answer: ½ ÷ ⅛ = _______

6. Complete this sentence using your fraction model:

"There are _______ eighths in one-half."

7. Real-life problem: Sarah has ¾ cup of flour. Her recipe calls for ¼ cup portions. How many portions can she make?

Show your thinking: ¾ ÷ ¼ = _______

8. Explain in your own words what it means to divide fractions:

Sentence starter: "When I divide fractions, I am finding out..."

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