🔢 Part 1: Finding the Greatest Common Factor (GCF)

1. Find the GCF of the following pairs of numbers:

a) GCF of 12 and 18 = _______

b) GCF of 20 and 30 = _______

c) GCF of 24 and 36 = _______

2. Use prime factorisation to find the GCF of 48 and 72. Show your factor trees below:

GCF of 48 and 72 = _______

📊 Part 2: Simplifying Fractions

3. Simplify the following fractions to their lowest terms. Show your working:

a) 8/12 = _______

b) 15/25 = _______

c) 18/24 = _______

d) 21/35 = _______

e) 32/48 = _______

✅ Part 3: Multiple Choice Questions

4. Which fraction is equivalent to 6/9 in its simplest form?

1/3

2/3

3/4

6/9

5. What is 20/30 simplified to its lowest terms?

10/15

4/6

2/3

1/2

6. Which of these fractions are already in their simplest form? (Check all that apply)

3/7

4/8

5/11

9/12

7/13

🧩 Part 4: Fraction Sorting Challenge

7. Match each fraction on the left with its simplified form on the right:

1. 14/21

2. 16/24

3. 10/15

4. 12/18

5. 9/27

A. 2/3

B. 1/3

C. 2/3

D. 2/3

E. 2/3

🍕 Part 5: Real-Life Applications

8. 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: _______

9. In a class of 30 students, 18 students chose maths as their favourite subject. What fraction of the class chose maths? Simplify your answer.

Answer: _______

10. A recipe calls for 12/16 cups of flour. Simplify this measurement.

Simplified measurement: _______ cups

💭 Part 6: Reflection and Explanation

11. Explain in your own words how to simplify a fraction. Include the steps you would follow.

12. Why is it important to simplify fractions? Give at least two reasons.

13. Challenge: Create your own fraction that simplifies to 3/4. Show that it simplifies correctly.

Simplifying Fractions Worksheet

Simplifying Fractions Worksheet

🔢 Part 1: Finding the Greatest Common Factor (GCF)

📊 Part 2: Simplifying Fractions

✅ Part 3: Multiple Choice Questions

🧩 Part 4: Fraction Sorting Challenge

🍕 Part 5: Real-Life Applications

💭 Part 6: Reflection and Explanation

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