🔢 Part 1: Recognising Equivalent Fractions

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

2/4

3/5

4/8

5/10

3/7

2. Which fraction is equivalent to 2/3?

4/6

3/4

6/8

2/6

3. Check all fractions that are equivalent to 3/4:

6/8

9/12

12/16

15/18

15/20

✖️ Part 2: Generating Equivalent Fractions Using Multiplication

4. Complete the equivalent fractions by multiplying the numerator and denominator by the same number:

a) 1/3 = ____/6 (multiply by ____)

b) 2/5 = ____/10 (multiply by ____)

c) 3/7 = 9/____ (multiply by ____)

d) 1/4 = ____/12 (multiply by ____)

e) 2/3 = 8/____ (multiply by ____)

5. Show your working to find three equivalent fractions for 1/5:

➗ Part 3: Simplifying Fractions Using Division

6. Simplify these fractions to their lowest terms by dividing:

a) 4/8 = ____/____ (divide by ____)

b) 6/9 = ____/____ (divide by ____)

c) 10/15 = ____/____ (divide by ____)

d) 12/18 = ____/____ (divide by ____)

e) 8/12 = ____/____ (divide by ____)

7. Show your working to simplify 16/24 to its lowest terms:

🎨 Part 4: Visual Representation

8. Draw and shade circles to show that 1/2 = 2/4:

9. Draw and shade rectangles to show that 3/6 = 1/2:

🔗 Part 5: Matching Equivalent Fractions

10. Match each fraction on the left with its equivalent fraction on the right:

1. 1/3

2. 2/5

3. 3/8

4. 5/6

5. 1/4

A. 6/24

B. 4/12

C. 10/12

D. 6/16

E. 8/20

📝 Part 6: Word Problems

11. Sarah ate 2/8 of a chocolate bar. Tom ate 1/4 of the same size chocolate bar. Did they eat the same amount? Explain your answer:

12. A pizza is cut into 12 equal slices. If you eat 3 slices, what fraction of the pizza did you eat? Write this fraction in its simplest form:

13. In a class of 20 learners, 8 learners have brown eyes. What fraction of the class has brown eyes? Simplify your answer:

14. Explain in your own words why 3/6 and 1/2 are equivalent fractions:

🏆 Part 7: Challenge Questions

15. Find the missing numbers to make these fractions equivalent:

a) 7/14 = ____/2

b) ____/21 = 2/7

c) 9/15 = 3/____

16. True or False? Circle your answer and explain why:

a) 4/6 = 8/12 True / False

Explanation: _________________________________

b) 5/8 = 10/15 True / False

Explanation: _________________________________

Equivalent Fractions Worksheet

Equivalent Fractions Worksheet

🔢 Part 1: Recognising Equivalent Fractions

✖️ Part 2: Generating Equivalent Fractions Using Multiplication

➗ Part 3: Simplifying Fractions Using Division

🎨 Part 4: Visual Representation

🔗 Part 5: Matching Equivalent Fractions

📝 Part 6: Word Problems

🏆 Part 7: Challenge Questions

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