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Improper Fractions Operations
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Improper Fractions Operations
🧮 Part 1: Converting and Adding
1. Convert these improper fractions to mixed numbers:
a) 13/4 = _______
b) 22/7 = _______
c) 17/5 = _______
2. Calculate: 2¾ + 1⅚
Answer: _______
3. Which calculation is correct for adding 15/4 + 11/6?
Convert to common denominator: 45/12 + 22/12 = 67/12
Add numerators and denominators: 26/10
Convert to decimals first: 3.75 + 1.83
Keep as mixed numbers: 3¾ + 1⅚
4. Aroha baked 3½ trays of muffins and her friend baked 2¾ trays. How many trays did they bake altogether?
Answer: _______ trays
➖ Part 2: Subtraction and Problem Solving
5. Calculate: 4⅖ - 1⅗
Answer: _______
6. Solve: 23/6 - 14/9
Show your working by converting to a common denominator:
Answer: _______
7. A recipe calls for 5¼ cups of flour. If you have already used 2⅚ cups, how much flour do you have left to use?
Answer: _______ cups
8. Check all the strategies that are helpful when adding or subtracting improper fractions:
Convert to mixed numbers first
Find a common denominator
Add the whole numbers separately
Simplify your final answer
Check your answer makes sense
🎯 Part 3: Real-World Applications
9. At the kura hangi, the cooking team prepared food in portions. They cooked 6⅔ kg of kumara and 4¾ kg of pumpkin. What was the total weight of vegetables?
Answer: _______ kg
10. A student budgeting for lunch has $8½ and spends $3¾ on a pie and drink. How much money does the student have left?
Answer: $_______
11. Explain in your own words the steps you follow when subtracting mixed numbers. Use mathematical vocabulary in your explanation:
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