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Equivalent Fractions Exploration

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Equivalent Fractions Exploration

Equivalent Fractions Exploration

Equivalent fractions visual

🔍 Part 1: Identifying Equivalent Fractions

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

2/4

3/5

4/8

5/10

3/7

6/12

2. Are 5/10 and 1/2 equivalent? Explain why or why not.
3. Which fraction is NOT equivalent to 3/4?

6/8

9/12

12/15

15/20

📊 Part 2: Creating Equivalent Fractions

4. Write two fractions equivalent to 4/9:

First equivalent fraction: _____ / _____

Second equivalent fraction: _____ / _____

5. Complete the equivalent fractions by filling in the missing numbers:

a) 2/3 = _____ / 12

b) 5/8 = 15 / _____

c) _____ / 14 = 3/7

d) 4/5 = _____ / 25

6. Show your working to find a fraction equivalent to 6/9 with a denominator of 15:

🎨 Part 3: Visual Models

7. Draw and shade two different rectangles to show that 2/6 and 1/3 are equivalent:
8. On the number line below, mark where 1/4, 2/8, and 3/12 would be positioned. What do you notice?
What do you notice about these three fractions?

🧮 Part 4: Comparing and Ordering

9. Which is larger: 3/8 or 6/16? Show your reasoning.
10. Order these fractions from smallest to largest by first finding equivalent fractions with the same denominator:

Fractions: 1/2, 3/8, 5/16, 3/4

Order from smallest to largest: _____ , _____ , _____ , _____

11. Match each fraction with its equivalent:
1. 2/5
2. 3/7
3. 4/9
4. 5/6
A. 8/18
B. 10/12
C. 6/14
D. 4/10

🍕 Part 5: Real-Life Applications

12. Sarah ate 2/8 of a pizza and Tom ate 1/4 of the same pizza. Did they eat the same amount? Explain your answer using equivalent fractions.
13. A recipe calls for 3/4 cup of flour, but you only have a 1/8 cup measuring cup. How many 1/8 cups do you need? Show your working.
14. In a class of 24 students, 6 students chose maths as their favourite subject. What fraction of the class is this? Write your answer in its simplest form and give one equivalent fraction.

Fraction: _____ / _____

Simplest form: _____ / _____

One equivalent fraction: _____ / _____

🤔 Part 6: Reflection

15. Explain in your own words what makes two fractions equivalent:
16. How can knowing about equivalent fractions help you in real life and in maths? Give at least two examples.
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