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Fractions of Whole Numbers

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Fractions of Whole Numbers

Fractions of Whole Numbers

Fractions and whole numbers illustration

🔢 Part 1: Finding Unit Fractions of Whole Numbers

1. Find 1/3 of 24. Show your working:
2. Find 1/4 of 20. Show your working:
3. Find 1/5 of 40. Show your working:
4. Find 1/8 of 48. Show your working:

🧮 Part 2: Finding Non-Unit Fractions of Whole Numbers

5. Find 2/5 of 40. Show your working:
6. Find 3/8 of 48. Show your working:
7. Find 2/3 of 27. Show your working:
8. Find 5/10 of 60. Show your working:

✅ Part 3: Multiple Choice Questions

9. What is 1/4 of 16?

2

4

6

8

10. What is 3/5 of 25?

10

12

15

18

11. Which of these equals 1/2 of 30?

10

15

20

25

📝 Part 4: Fill in the Blanks

12. Complete the calculations:

To find 1/6 of 36, I divide 36 by _____ to get _____.

To find 2/7 of 28, I first divide 28 by _____ to get _____, then multiply by _____ to get _____.

To find 3/4 of 32, I first divide 32 by _____ to get _____, then multiply by _____ to get _____.

13. Complete the sentences using fraction vocabulary:

In the fraction 3/8, the number 3 is called the _____________ and the number 8 is called the _____________.

When we find "a fraction of" a whole number, the word "of" means we need to _____________.

🎨 Part 5: Visual Representation

14. Draw a bar model to show 2/5 of 20:
15. Draw a bar model to show 3/4 of 12:

🔗 Part 6: Matching Activity

16. Match each fraction calculation with its correct answer:
1. 1/3 of 21
2. 2/4 of 16
3. 3/5 of 35
4. 1/7 of 42
5. 4/8 of 24
A. 12
B. 21
C. 6
D. 7
E. 8

🍕 Part 7: Real-World Problems

17. Sarah has 36 stickers. She gives away 2/3 of them to her friends. How many stickers does she give away?
18. A school has 45 students going on a trip. 3/5 of the students bring their lunch. How many students bring their lunch?
19. Tom's family drives 72 kilometres to visit his grandparents. They stop for petrol after 1/4 of the journey. How many kilometres have they travelled when they stop?

💭 Part 8: Explain Your Thinking

20. Explain in your own words how to find 2/3 of 18. Write the steps you would follow:
21. Why do we divide by the denominator first when finding a fraction of a whole number? Explain your thinking:

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