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Equivalent Fractions Worksheet

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Equivalent Fractions Worksheet

Equivalent fractions illustration

📚 Part 1: Understanding Equivalent Fractions

Remember: Equivalent fractions are fractions that represent the same amount. To find equivalent fractions, multiply or divide both the numerator and denominator by the same number.

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

2/4

3/5

4/8

5/10

6/11

2. Which fraction is equivalent to 2/3?

4/6

3/4

6/8

8/10

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

a) 1/3 = ____/9

b) 2/5 = 6/____

c) 3/4 = ____/12

d) 5/6 = 10/____

4. Complete these equivalent fractions by multiplying:

a) 1/4 × 2/2 = ____/____

b) 3/5 × 3/3 = ____/____

c) 2/7 × 4/4 = ____/____

d) 4/9 × 2/2 = ____/____

5. Show your working to find three equivalent fractions for 3/8:

✏️ Part 2: Simplifying Fractions

Remember: To simplify fractions, divide both the numerator and denominator by their highest common factor (HCF).

6. Simplify these fractions to their lowest terms:

a) 6/8 = ____

b) 10/15 = ____

c) 12/16 = ____

d) 18/24 = ____

e) 20/25 = ____

7. Which of these fractions is in its simplest form?

4/6

5/7

8/12

9/15

8. Show your working to simplify 24/36:
9. Circle all the fractions that are equivalent to 2/3 in simplest form:

4/6

6/9

8/12

10/15

12/18

10. Complete this table by filling in equivalent fractions:

1/2 = 2/4 = ____/6 = 4/8 = ____/10 = 6/____

11. Explain in your own words what it means for two fractions to be equivalent:

🎯 Part 3: Problem Solving with Equivalent Fractions

12. Sarah ate 3/8 of a pizza. Tom ate 6/16 of an identical pizza. Did they eat the same amount? Show your working:
13. Find the missing number: If 2/5 = 8/x, then x = ____

Show your working: ________________

14. Order these fractions from smallest to largest by first converting them to equivalent fractions with the same denominator:

1/2, 3/8, 5/8, 1/4

Answer: ____ < ____ < ____ < ____

15. Challenge: Find two different equivalent fractions for each of these:

a) 4/7 = ____/____ = ____/____

b) 5/9 = ____/____ = ____/____

16. A recipe calls for 3/4 cup of flour. If you want to write this using eighths, what would it be?

3/4 = ____/8

Explain your method: ________________________________

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