🔢 Part 1: Multiplying Fractions

1. Calculate the following fraction multiplications. Show your working:

a) 1/2 × 1/3 = ___________

b) 2/5 × 3/4 = ___________

c) 1/6 × 2/7 = ___________

2. Circle the correct rule for multiplying fractions:

Add the numerators and denominators

Multiply the numerators together and multiply the denominators together

Multiply the numerators and add the denominators

Find a common denominator first

➗ Part 2: Dividing Fractions

3. Calculate the following fraction divisions. Show your working:

a) 1/2 ÷ 1/4 = ___________

b) 3/5 ÷ 2/3 = ___________

c) 2/7 ÷ 1/3 = ___________

4. Fill in the blanks about dividing fractions:

To divide fractions, we multiply by the _____________ of the second fraction. The reciprocal of 2/3 is _______.

📝 Part 3: Vocabulary and Understanding

5. Match the mathematical terms with their correct definitions:

1. Numerator

2. Denominator

3. Reciprocal

4. Equivalent fraction

A. A fraction that represents the same value

B. The bottom number in a fraction

C. The top number in a fraction

D. A fraction flipped upside down

6. Check all the strategies that can help when multiplying fractions:

Simplify before multiplying

Use fraction strips to visualise

Find common denominators first

Cancel common factors

🍰 Part 4: Real-World Problems

7. Sarah is making anzac biscuits. The recipe calls for 3/4 cup of oats, but she only wants to make 1/2 of the recipe. How much oats does she need?

Answer: __________ cups of oats

8. A piece of timber is 2/3 metres long. If it needs to be cut into pieces that are each 1/6 metres long, how many pieces can be made?

Answer: __________ pieces

9. Tom walked 3/5 of the way to school, which is 2/3 kilometres. What is the total distance from his house to school?

Answer: __________ kilometres

🎨 Part 5: Visual Representation

10. Draw a diagram to show 1/2 × 1/3 using rectangles or fraction strips:

11. Explain in your own words why we "multiply by the reciprocal" when dividing fractions:

12. Write one tip you would give to a friend who is learning to multiply and divide fractions:

Multiplying and Dividing Fractions

Multiplying and Dividing Fractions

🔢 Part 1: Multiplying Fractions

➗ Part 2: Dividing Fractions

📝 Part 3: Vocabulary and Understanding

🍰 Part 4: Real-World Problems

🎨 Part 5: Visual Representation

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