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Mixed Numbers and Fractions

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Mixed Numbers and Fractions

Mixed Numbers and Fractions

Mixed numbers and fractions illustration

🍕 Part 1: Understanding Mixed Numbers

1. Circle the correct way to read this mixed number: 2 3/4

Two and three quarters

Two thirds and four

Twenty-three fourths

Two plus three equals four

2. Which of these are mixed numbers? (Check all that apply)

1 2/3

5/4

3 1/8

7/7

2 5/6

3. Draw a visual representation of 1 1/2 using circles or rectangles:

🔄 Part 2: Converting Mixed Numbers to Improper Fractions

4. Convert 2 1/3 to an improper fraction. Show your working:
5. Convert these mixed numbers to improper fractions:

a) 1 2/5 = _______

b) 3 1/4 = _______

c) 2 3/8 = _______

d) 4 2/3 = _______

6. Circle the correct improper fraction for 1 3/4:

4/4

7/4

6/4

3/4

🔄 Part 3: Converting Improper Fractions to Mixed Numbers

7. Convert 11/4 to a mixed number. Show your working:
8. Convert these improper fractions to mixed numbers:

a) 9/2 = _______

b) 13/5 = _______

c) 17/6 = _______

d) 23/8 = _______

9. Which mixed number is equivalent to 15/4?

3 3/4

4 1/4

2 3/4

3 1/4

📏 Part 4: Number Lines and Visual Representation

10. Mark these mixed numbers on the number line below (draw and label):

1 1/2, 2 3/4, 3 1/4

11. Match each mixed number with its equivalent improper fraction:
1. 2 1/2
2. 1 3/4
3. 3 2/5
4. 2 2/3
A. 17/5
B. 7/4
C. 5/2
D. 8/3

🏠 Part 5: Real-World Applications

12. Sarah is making anzac biscuits. The recipe calls for 2 1/4 cups of flour. Write this as an improper fraction:
13. A carpenter has a piece of wood that is 19/8 metres long. Write this as a mixed number:
14. Fill in the blanks:

At the school fair, Tom ate _____ whole pies and _____ of another pie, which can be written as the mixed number 2 3/4. This is the same as the improper fraction _____.

15. Explain in your own words why 3 1/2 and 7/2 represent the same amount:

🎯 Part 6: Challenge Questions

16. Convert 4 5/12 to an improper fraction:
17. Convert 47/10 to a mixed number:
18. True or False? Circle your answers:

a) 2 3/5 = 13/5 True / False

b) 9/4 = 2 1/4 True / False

c) 1 7/8 = 15/8 True / False

d) 11/3 = 3 2/3 True / False

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