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Mixed Number Fraction Practice

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Mixed Number Fraction Practice

📚 Part 1: Adding and Subtracting Mixed Numbers

1. Sarah ate 1¼ pieces of pizza for lunch and 2½ pieces for dinner. How much pizza did she eat altogether?

Answer: ________ pieces of pizza

2. Tom had 3¾ metres of rope. He used 1⅔ metres to tie a package. How much rope does he have left?

Answer: ________ metres

3. Calculate: 2⅗ + 1¾ = ________
4. Calculate: 5⅓ - 2⅚ = ________

✏️ Part 2: Multiplying Mixed Numbers

5. A recipe calls for 2¼ cups of flour. If Emma wants to make 3 times the recipe, how much flour will she need?

Answer: ________ cups of flour

6. A garden bed is 1½ metres wide and 2⅔ metres long. What is the area of the garden bed?

Answer: ________ square metres

7. Calculate: 1⅔ × 2¼ = ________
8. Calculate: 3½ × 1⅕ = ________

🎯 Part 3: Problem Solving

9. Which operation would you use to solve this problem? "Jake ran 2¾ kilometres on Monday and 1⅝ kilometres on Tuesday. How far did he run in total?"

Addition

Subtraction

Multiplication

10. A chocolate bar weighs 1⅜ kg. If you eat ⅝ kg of it, how much is left?

Answer: ________ kg

11. Explain in your own words how to add mixed numbers when the fractions have different denominators.

📋 Answer Key

1. 3¾ pieces of pizza (1¼ + 2½ = 1¼ + 2²⁄₄ = 3¾)

2. 2¹⁄₁₂ metres (3¾ - 1⅔ = 3⁹⁄₁₂ - 1⁸⁄₁₂ = 2¹⁄₁₂)

3. 4⁷⁄₂₀ (2¹²⁄₂₀ + 1¹⁵⁄₂₀ = 3²⁷⁄₂₀ = 4⁷⁄₂₀)

4. 2½ (5⅓ - 2⅚ = 5²⁄₆ - 2⅚ = 4⁸⁄₆ - 2⅚ = 2³⁄₆ = 2½)

5. 6¾ cups of flour (2¼ × 3 = ⁹⁄₄ × 3 = ²⁷⁄₄ = 6¾)

6. 4 square metres (1½ × 2⅔ = ³⁄₂ × ⁸⁄₃ = ²⁴⁄₆ = 4)

7. 3¾ (1⅔ × 2¼ = ⁵⁄₃ × ⁹⁄₄ = ⁴⁵⁄₁₂ = 3¾)

8. 4¹⁄₅ (3½ × 1⅕ = ⁷⁄₂ × ⁶⁄₅ = ⁴²⁄₁₀ = 4¹⁄₅)

9. Addition

10. ¾ kg (1⅜ - ⅝ = 1 + ⅜ - ⅝ = ⅜ + ⅜ = ¾)

11. Sample answer: First find a common denominator for the fractions, then add the whole numbers and fractions separately. If the fraction sum is improper, convert it to a mixed number and add to the whole number total.

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