Whole Numbers × Fractions

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Date:

📚 Part 1: Basic Multiplication

Remember: To multiply a whole number by a fraction, multiply the whole number by the numerator and keep the denominator the same.

1. Calculate: 2 × 1/3 = _______

2. Calculate: 4 × 3/5 = _______

3. Calculate: 6 × 2/7 = _______

4. Which multiplication gives the largest answer?

3 × 1/4

2 × 2/3

5 × 1/6

4 × 1/3

✏️ Part 2: Simplifying & Converting

Instructions: Calculate each multiplication, then simplify using the highest common factor (HCF). Convert improper fractions to mixed numbers.

5. Calculate and simplify: 8 × 3/4 = _______

6. Calculate and convert to a mixed number: 5 × 4/3 = _______

7. Calculate and simplify: 12 × 5/8 = _______

8. Visual Challenge: Draw a diagram or fraction strips to show 3 × 2/5. Then calculate the answer.

Answer: 3 × 2/5 = _______

🌟 Part 3: Real-World Applications

9. Recipe Problem: A muffin recipe calls for 3/4 cup of flour to serve 6 people. How much flour is needed to serve 18 people? (Hint: 18 ÷ 6 = 3, so you need 3 times the recipe.)

Answer: _______ cups of flour

10. Distance Problem: Sarah walks 2/3 of a kilometre to school each day. How far does she walk in 5 days?

Answer: _______ kilometres

11. Estimation Check: Before calculating 7 × 5/6, estimate whether your answer will be:

Less than 5

Between 5 and 7

Greater than 7

Now calculate the exact answer: 7 × 5/6 = _______

12. Extension Challenge: A builder uses 3/8 of a bag of cement for each small path. If he builds 9 small paths, how many bags of cement will he use? Is your answer reasonable? Explain.