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Simplifying Fractions Worksheet

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Simplifying Fractions Worksheet

Simplifying Fractions Worksheet

Fraction circles and number line illustration

🔢 Part 1: Understanding Equivalent Fractions

1. Circle the fractions that are equivalent to 1/2:

2/4

3/5

4/8

5/10

3/7

2. Which of these fractions is already in its simplest form?

6/8

3/7

4/6

9/12

✏️ Part 2: Simplifying Fractions

3. Simplify these fractions to their simplest form. Show your working:

a) 6/8 = _______

b) 9/12 = _______

c) 10/15 = _______

d) 8/20 = _______

4. Fill in the missing numbers to make equivalent fractions:

a) 2/3 = ___/6 = 8/___

b) 1/4 = 3/___ = ___/16

c) 3/5 = ___/10 = 12/___

🎯 Part 3: Multiple Choice Challenge

5. What is the greatest common factor (GCF) of 12 and 18?

2

3

6

9

6. Which fraction is NOT equivalent to 2/3?

4/6

6/9

8/10

10/15

🔍 Part 4: Matching Activity

7. Match each fraction with its simplest form:
1. 4/12
2. 6/9
3. 8/10
4. 15/20
5. 14/21
A. 2/3
B. 1/3
C. 4/5
D. 3/4
E. 2/3

📝 Part 5: Explain Your Thinking

8. Explain in your own words how you would simplify the fraction 12/16. Include the steps you would follow:
9. Sarah says that 5/10 and 1/2 are equivalent fractions. Is she correct? Explain your answer:
10. Draw a visual representation (like a fraction wall or circles) to show that 3/6 = 1/2:

🏆 Part 6: Challenge Questions

11. Check all the fractions that are in their simplest form:

7/11

9/15

5/8

12/18

3/4

16/24

12. Complete this pattern by writing equivalent fractions:

1/3 = 2/6 = ___/9 = 4/___ = ___/15

13. A recipe calls for 6/8 cups of flour. Write this amount in its simplest form:

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