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Simplifying Fractions Worksheet

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Simplifying Fractions Worksheet

Simplifying Fractions Worksheet

Fractions illustration

🔢 Part 1: Finding the Highest Common Factor (HCF)

1. List all the factors of these numbers:

a) Factors of 12: ________________________

b) Factors of 18: ________________________

c) What is the HCF of 12 and 18? ________

2. Find the HCF of each pair of numbers:

a) HCF of 8 and 12 = ________

b) HCF of 15 and 25 = ________

c) HCF of 20 and 30 = ________

d) HCF of 14 and 21 = ________

3. Scaffolded Help: Complete this factor tree to find the HCF of 24 and 36:

24 = 2 × 2 × 2 × ____

36 = 2 × 2 × ____ × ____

Common factors: ________________

HCF = ________

✂️ Part 2: Simplifying Fractions

4. Simplify these fractions by finding the HCF first:

a) 6/9

HCF of 6 and 9 = ____

6/9 = ____/____

b) 8/12

HCF of 8 and 12 = ____

8/12 = ____/____

c) 15/20

HCF of 15 and 20 = ____

15/20 = ____/____

5. Simplify these fractions to their lowest terms:

a) 10/15 = ____/____

b) 16/24 = ____/____

c) 18/27 = ____/____

d) 21/28 = ____/____

6. Circle the fractions that are already in their simplest form:

3/7

4/8

5/11

6/9

7/10

9/12

🔗 Part 3: Equivalent Fractions

7. Match each fraction with its simplified equivalent:
1. 4/6
2. 9/12
3. 10/25
4. 14/21
A. 2/5
B. 2/3
C. 3/4
D. 2/3
8. True or False? Circle your answer:

a) 6/8 = 3/4

True
False

b) 12/16 = 2/3

True
False

c) 15/18 = 5/6

True
False

📝 Part 4: Word Problems

9. Sarah ate 6 slices out of 8 slices of pizza. What fraction of the pizza did she eat? Write your answer in simplest form.

Answer: ________

10. In a class of 24 students, 16 students have brown eyes. What fraction of the class has brown eyes? Simplify your answer.

Answer: ________

11. A recipe calls for 12/18 cups of flour. Simplify this fraction and explain why it's helpful to use the simplified form when cooking.

Simplified fraction: ________

🌟 Part 5: Extension Questions

12. Challenge: Simplify these larger fractions:

a) 48/72 = ________

b) 35/56 = ________

c) 42/63 = ________

13. Advanced: Create your own fraction that simplifies to 2/3. Show your work:

My fraction: ____/____

14. Reasoning: Explain in your own words why we simplify fractions. Give an example from real life where this would be useful.

🎯 Part 6: Self-Assessment

15. How confident do you feel about simplifying fractions? Circle one:

Very confident - I can do this easily

Quite confident - I understand most of it

Getting there - I need a bit more practice

Not confident - I need more help

16. What is one thing you learned today about fractions?

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