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Mixed Numbers and Improper Fractions

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Mixed Numbers and Improper Fractions

Mixed Numbers and Improper Fractions

Mixed numbers and improper fractions illustration

🔍 Part 1: Identifying Mixed Numbers and Improper Fractions

1. Circle whether each fraction is a mixed number or an improper fraction:

a) 3 2/5

Mixed Number

Improper Fraction

b) 7/4

Mixed Number

Improper Fraction

c) 11/8

Mixed Number

Improper Fraction

d) 2 1/3

Mixed Number

Improper Fraction

🔄 Part 2: Converting Mixed Numbers to Improper Fractions

2. Convert these mixed numbers to improper fractions. Show your working.

a) 2 3/4 = _______

b) 1 5/6 = _______

c) 3 2/5 = _______

d) 4 1/8 = _______

🔄 Part 3: Converting Improper Fractions to Mixed Numbers

3. Convert these improper fractions to mixed numbers. Show your working.

a) 9/4 = _______

b) 13/5 = _______

c) 17/6 = _______

d) 23/8 = _______

🎯 Part 4: Matching Activity

4. Match each mixed number with its equivalent improper fraction:
1. 1 1/2
2. 2 3/4
3. 3 1/5
4. 1 7/9
A. 11/4
B. 16/5
C. 3/2
D. 16/9

🎨 Part 5: Visual Representation

5. Draw a visual model (using circles, rectangles, or number lines) to represent the mixed number 2 1/3:
6. Draw a visual model to represent the improper fraction 7/3:
7. Explain how your drawings in questions 5 and 6 show that 2 1/3 and 7/3 are equivalent:

📝 Part 6: Word Problems

8. Sarah is making anzac biscuits. Her recipe calls for 2 3/4 cups of oats. Express this amount as an improper fraction.

Answer: _______ cups

9. A piece of timber is 17/4 metres long. Express this length as a mixed number.

Answer: _______ metres

10. At the school fair, pizza slices are sold in portions of 1/8 of a whole pizza. If James bought 19/8 portions, how many whole pizzas and extra slices did he buy?

Answer: _______ whole pizzas and _______ extra slices

🌟 Part 7: Challenge Questions

11. Fill in the missing numbers:

a) 3 _/7 = 25/7

b) _ 2/9 = 20/9

c) 4 3/_ = 31/7

12. Which of these fractions are equivalent to 2 1/4? Check all that apply:

9/4

8/4

18/8

2 2/8

45/20

13. Explain in your own words the steps to convert a mixed number to an improper fraction:

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