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Multiplying Fractions and Mixed Numbers

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Multiplying Fractions and Mixed Numbers

Fraction multiplication models

📊 Part 1: Multiplying Fractions

I can multiply two fractions using models and algorithms.

1. Find the product: 2/3 × 3/4

Show your work:

2. Draw an area model to show 1/2 × 2/5
3. Multiply and simplify: 3/5 × 1/6 = _______
4. Which expression equals 6/35?

2/5 × 3/7

3/5 × 2/7

1/5 × 6/7

6/5 × 1/7

🔢 Part 2: Multiplying Mixed Numbers

I can multiply mixed numbers by converting to improper fractions.

5. Convert to improper fractions, then multiply: 1 1/3 × 2 1/4

Step 1: Convert mixed numbers

1 1/3 = _______ and 2 1/4 = _______

Step 2: Multiply and show your work:

6. Find the product: 2 2/5 × 1 1/2 = _______
7. A recipe calls for 3/4 cup of flour. If you make 2 1/3 batches, how much flour do you need?

🌟 Part 3: Real-World Applications

I can solve word problems using fraction multiplication.

8. Sarah runs 1 1/4 miles each day. If she runs for 3 2/3 days, how many miles will she run in total?

Answer: _______ miles

9. A pizza is cut into equal slices. If 2/3 of the pizza remains and 3/4 of that portion has pepperoni, what fraction of the whole pizza has pepperoni?

Answer: _______ of the pizza

10. Explain why we multiply numerators together and denominators together when multiplying fractions. Use words or pictures:

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