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Fractions of Sets

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Fractions of Sets

Fractions of Sets

Fractions of sets illustration

🔢 Part 1: Understanding Fractions of Sets

1. Circle the correct answer. What does the denominator tell us in a fraction?

How many parts we have

How many equal parts the whole is divided into

The biggest number

The smallest number

2. Circle the correct answer. What does the numerator tell us in a fraction?

How many equal parts the whole is divided into

How many parts we are counting or have

The total number of objects

The number at the bottom

3. Look at this set of 8 stars: ⭐⭐⭐⭐⭐⭐⭐⭐

If we want to find 1/4 of this set, how many stars would that be? ________

🎯 Part 2: Finding Fractions of Sets

4. You have 12 counters. Show your working to find:

a) 1/2 of 12 = ________

b) 1/4 of 12 = ________

c) 1/3 of 12 = ________

5. Circle the correct answer. If you have 16 lollies and want to find 1/8 of them, how many lollies is that?

8 lollies

4 lollies

2 lollies

1 lolly

🎨 Part 3: Drawing and Representing Fractions

6. Draw 20 circles in the box below. Then colour 1/4 of them.

How many circles did you colour? ________

7. Draw 24 triangles in the box below. Then colour 1/8 of them.

How many triangles did you colour? ________

🧮 Part 4: Word Problems

8. Sarah has 18 stickers. She gives 1/3 of them to her friend. How many stickers does she give away?

Answer: ________ stickers

9. A packet contains 32 biscuits. Tom eats 1/8 of the biscuits. How many biscuits does Tom eat?

Answer: ________ biscuits

10. Check all the fractions that are equal to finding half of a set:

1/2

2/4

4/8

1/4

3/6

📝 Part 5: Fill in the Blanks

11. Complete these sentences using the words: numerator, denominator, equal, parts

A fraction shows ________ parts of a whole. The ________ is the number on top that tells us how many parts we have. The ________ is the number on the bottom that tells us how many ________ parts the whole is divided into.

12. Match each fraction to its meaning:
1. 1/2
2. 1/4
3. 1/8
4. 3/4
A. One part out of eight equal parts
B. Three parts out of four equal parts
C. One part out of two equal parts
D. One part out of four equal parts

🤔 Part 6: Challenge Questions

13. If 1/4 of a set is 6 objects, how many objects are in the whole set?

Answer: ________ objects

14. Explain in your own words what it means to find a fraction of a set:

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