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Fractions to Decimals Models

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Fractions to Decimals Models worksheet preview

Fractions to Decimals Models

Fraction strips and pie charts

🎯 I Can Statements

Today I will practice:

• I can represent fractions with denominators of 3 and 8 using concrete models

• I can convert fractions to decimal equivalents with understanding

• I can explain the relationship between fractions and decimals

📊 Part 1: Fraction Strip Models

1. Use your fraction strips to model 2/3. What decimal does this equal?

0.6

0.666...

0.23

0.75

2. Model 3/8 using your fraction strips. What is the decimal equivalent?

0.38

0.333...

0.375

0.83

3. Which fractions below equal terminating (ending) decimals? Check all that apply.

1/8

1/3

5/8

2/3

4. Use your pie chart to model 7/8. The decimal equivalent is __________.

✏️ Part 2: Model and Explain

5. Draw a fraction strip or pie chart to show 1/3. Then write its decimal equivalent.

1/3 = __________

6. Explain why 1/3 gives a repeating decimal but 1/8 gives a terminating decimal. Use your models to help explain.
7. Show your work: Convert 5/8 to a decimal by dividing.
8. Challenge: Find two different fractions that both equal 0.375. Use your fraction strips to verify.

Fraction 1: __________ Fraction 2: __________

🔍 Part 3: Real-World Connections

9. Sarah ate 3/8 of a pizza. What decimal part of the pizza did she eat?

Answer: __________

10. A recipe calls for 2/3 cup of flour. Express this as a decimal.

Answer: __________ cups

11. Reflection: How do fraction strips and pie charts help you understand the relationship between fractions and decimals? Write 2-3 sentences.

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