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Multiplying and Dividing Fractions

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Multiplying and Dividing Fractions

Multiplying and Dividing Fractions

Fractions illustration

📚 Learning Objectives

WALT 1: We Are Learning To multiply fractions using the "multiply across" strategy

WALT 2: We Are Learning To divide fractions using the "flip and multiply" strategy

🔢 Part 1: Multiplying Fractions Strategy

Remember: To multiply fractions, multiply the numerators together and multiply the denominators together.

Example: 2/3 × 1/4 = (2×1)/(3×4) = 2/12 = 1/6

1. Complete these multiplication problems. Show your working:
a) 1/2 × 3/5 = ___________
b) 2/7 × 1/3 = ___________
c) 3/4 × 2/9 = ___________
2. Challenge: Multiply these mixed numbers (convert to improper fractions first):
a) 1 1/2 × 2/3 = ___________
b) 2 1/4 × 1/5 = ___________

➗ Part 2: Dividing Fractions Strategy

Remember: To divide fractions, flip the second fraction and multiply.

Example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2

3. Complete these division problems. Show your working:
a) 3/4 ÷ 1/2 = ___________
b) 2/5 ÷ 1/3 = ___________
c) 5/6 ÷ 2/3 = ___________
4. Support: Circle the correct answer for each division:
1/3 ÷ 1/6 = ?

1/18

2

1/2

2/3 ÷ 1/4 = ?

2/12

8/3

3/8

🔄 Part 3: Mixed Practice

5. Solve these mixed multiplication and division problems:
a) 4/5 × 3/8 = ___________
b) 7/8 ÷ 1/4 = ___________
c) 1/6 × 2/7 = ___________
d) 3/5 ÷ 2/3 = ___________
6. Challenge: Complete this multi-step problem:
(1/2 × 3/4) ÷ 1/8 = ___________

📖 Part 4: Word Problems

7. Sarah has 3/4 of a chocolate bar. She wants to share it equally among 3 friends. How much chocolate will each friend get?

Answer: Each friend gets __________ of the chocolate bar.

8. A recipe calls for 2/3 cup of flour. If James wants to make 1/2 of the recipe, how much flour does he need?

Answer: James needs __________ cup of flour.

9. Challenge: A farmer has 5/6 of a paddock to plant crops. He plants 3/5 of that area with wheat. What fraction of the total paddock is planted with wheat?

Answer: __________ of the total paddock is planted with wheat.

10. Support: Match each word problem with the correct operation:
1. Share 1/2 pizza among 4 people
2. Find 1/3 of 2/5
3. How many 1/4s in 3/4?
A. 2/5 × 1/3
B. 3/4 ÷ 1/4
C. 1/2 ÷ 4

🎯 Part 5: Self-Assessment

11. Tick the strategies you feel confident using:

Multiplying fractions by multiplying across

Dividing fractions by flipping and multiplying

Converting mixed numbers to improper fractions

Simplifying fraction answers

Solving word problems with fractions

12. What do you still need help with?

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