Equivalent Fractions Worksheet

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$Equivalent fractions illustration$

📚 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 (top number) and denominator (bottom number) by the same number.

Example: 1/2 = 2/4 = 3/6 = 4/8 (multiply both parts by 2, then 3, then 4)

1. Which fraction is equivalent to 1/3?

2/6

1/6

3/6

2/3

2. Which fraction is equivalent to 3/4?

6/8

3/8

6/12

9/16

3. Select ALL fractions that are equivalent to 2/5:

4/10

6/15

8/20

10/20

4. Which fraction is equivalent to 5/6?

10/12

15/24

25/30

All of the above

✏️ Part 2: Finding Equivalent Fractions

Method: To complete equivalent fractions, work out what number the given part has been multiplied or divided by, then do the same to the missing part.

5. Complete this equivalent fraction: 1/4 = ____/12

Hint: 4 × ? = 12, so multiply the top by the same number

6. Complete this equivalent fraction: 3/7 = 9/____

Hint: 3 × ? = 9, so multiply the bottom by the same number

7. Complete this equivalent fraction: 2/3 = ____/15

8. Complete this equivalent fraction: 4/5 = 12/____

9. Complete this equivalent fraction: ____/8 = 15/24

Hint: Work backwards - what was 24 divided by to get 8?

10. Show your working to find three equivalent fractions for 1/2: