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Exploring Fractions

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Exploring Fractions

Exploring Fractions

Fraction circles and mathematical symbols

🔢 Part 1: Equivalent Fractions

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

2/4

3/5

4/8

5/10

3/7

2. Complete the equivalent fractions:

a) 1/3 = ____/6 = ____/12

b) 2/5 = ____/10 = ____/20

c) 3/4 = ____/8 = ____/16

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

➕ Part 2: Adding Fractions

4. Add these fractions. Show your working:

a) 1/4 + 1/2 =

b) 2/3 + 1/6 =

c) 3/5 + 1/10 =

5. Which of these shows the correct way to add 1/3 + 1/4?

1/3 + 1/4 = 2/7

1/3 + 1/4 = 4/12 + 3/12 = 7/12

1/3 + 1/4 = 1/7

1/3 + 1/4 = 4/7

➖ Part 3: Subtracting Fractions

6. Subtract these fractions. Show your working:

a) 3/4 - 1/2 =

b) 5/6 - 1/3 =

c) 7/8 - 1/4 =

7. Fill in the missing steps for subtracting fractions:

To subtract 2/3 - 1/4:

Step 1: Find the common denominator: ________

Step 2: Convert fractions: 2/3 = ____/12 and 1/4 = ____/12

Step 3: Subtract the numerators: ____/12 - ____/12 = ____/12

Step 4: Simplify if possible: ____/12 = ____/____

🍰 Part 4: Real-World Fraction Problems

8. Sarah is making a cake. She needs 3/4 cup of sugar for the cake and 1/3 cup of sugar for the icing. How much sugar does she need altogether?

Answer: ________ cups of sugar

9. Tom has a rope that is 5/6 metres long. He cuts off 1/4 metre. How much rope does he have left?

Answer: ________ metres

10. At a pizza party, 2/3 of a pizza was eaten at lunch and 1/6 was eaten at dinner. What fraction of the pizza was eaten in total?

Answer: ________ of the pizza

11. A recipe calls for 7/8 cup of flour, but you only have 1/2 cup. How much more flour do you need?

Answer: ________ cup of flour

🎯 Part 5: Challenge Questions

12. Check all the statements that are TRUE:

1/2 + 1/3 = 5/6

3/4 - 1/4 = 1/2

2/5 + 3/5 = 1

5/8 - 1/4 = 3/8

1/6 + 1/3 = 1/2

13. Match each fraction addition problem with its correct answer:
1. 1/4 + 1/8
2. 1/3 + 1/6
3. 2/5 + 1/10
4. 3/8 + 1/4
A. 1/2
B. 3/8
C. 5/8
D. 1/2
14. Explain in your own words how to add fractions with different denominators:

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