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Mixed Numbers and Fractions

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Mixed Numbers and Fractions

Mixed numbers and fractions illustration

🎯 Learning Goals

I can...

• Convert improper fractions to mixed numbers

• Convert mixed numbers to improper fractions

• Compare mixed numbers and improper fractions

Success Criteria: I will show my work clearly and explain my thinking.

📚 Part 1: Converting Fractions

1. Convert the improper fraction 9/4 to a mixed number.
2. Convert the mixed number 2 3/5 to an improper fraction.
3. Which mixed number is equivalent to 11/3?

3 2/3

2 3/3

3 1/3

2 2/3

4. Which improper fraction is equivalent to 1 4/7?

5/7

11/7

8/7

4/7

🔍 Part 2: Comparing Fractions

5. Which is greater: 7/3 or 2 1/4? Show your work.
6. Circle the fraction that equals 1 3/8:

8/8

11/8

13/8

3/8

7. Order these from least to greatest: 5/2, 1 3/4, 9/4

Least: _______ Middle: _______ Greatest: _______

8. Challenge Problem: Sarah ate 1 1/3 pizzas and Mike ate 4/3 pizzas. Who ate more? Explain your thinking.

🌟 Reflection

9. What strategy helps you convert between mixed numbers and improper fractions?

Extension Activity: Create your own improper fraction greater than 15/4. Convert it to a mixed number and draw a picture to show it.

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