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Fractions of Sets

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Fractions of Sets

Fractions of Sets

Groups of objects showing fractions

🔢 Part 1: Understanding Fractions of Sets

1. Circle the correct answer. What does the fraction 3/5 mean?

3 groups out of 5 equal groups

5 groups out of 3 equal groups

3 plus 5

2. Fill in the blanks using the correct vocabulary:

In the fraction 4/7, the number 4 is called the _____________ and the number 7 is called the _____________.

3. Check all the fractions that have a numerator greater than 1:

2/3

1/4

5/8

1/2

3/7

🧮 Part 2: Finding Fractions of Sets

4. Find 2/5 of 25 apples. Show your working:

Step 1: Find 1/5 by dividing 25 into 5 equal groups: 25 ÷ 5 = _____

Step 2: Find 2/5 by multiplying: _____ × 2 = _____

5. Calculate these fractions of sets:

a) 3/6 of 24 = _____

b) 4/8 of 32 = _____

c) 2/7 of 21 = _____

d) 5/9 of 36 = _____

6. Word problem: Sarah has 40 stickers. She gives away 3/8 of them to her friends. How many stickers does she give away?

Answer: _____ stickers

🎨 Part 3: Visual Representations

7. Draw a bar model to show 3/4 of 20 counters:

3/4 of 20 = _____

8. Draw circles to represent equal groups. Show 2/3 of 18 toy cars:
9. Complete this visual representation. If this bar represents 28 blocks, shade 5/7 of them:

5/7 of 28 = _____

🧠 Part 4: Problem Solving

10. Match each fraction calculation with its answer:
1. 2/5 of 30
2. 3/7 of 42
3. 4/6 of 24
4. 5/8 of 48
A. 16
B. 18
C. 12
D. 30
11. Challenge problem: A school has 56 students in Year 4. If 3/8 of them play rugby and 2/7 of them play netball, how many students play each sport?

Students who play rugby: _____ students

Students who play netball: _____ students

12. Explain your thinking: How would you find 4/9 of 45? Write the steps you would follow:

✅ Part 5: Quick Check

13. True or False? Circle your answers:

a) To find 1/5 of 35, you divide 35 by 5. True / False

b) 2/6 of 30 equals 10. True / False

c) The denominator tells you how many equal groups to make. True / False

14. Quick calculation: Find 3/4 of 28
15. Create your own problem: Write a word problem that asks someone to find 2/5 of a number:

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