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Fractions of Whole Numbers

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Fractions of Whole Numbers

Fractions and whole numbers illustration

📚 Part 1: Finding Fractions of Whole Numbers

Remember: To find a fraction of a whole number: multiply the whole number by the numerator, then divide by the denominator.

1. Find 3/4 of 80. Show your working.
2. Calculate 2/5 of 150. Show your working.
3. Find 7/8 of 96. Show your working.
4. Calculate 5/3 of 186 (improper fraction). Show your working.

🌟 Part 2: Word Problems

5. A recipe for 240 biscuits calls for 3/4 of a cup of sugar. How much sugar is needed?
6. Sarah has saved $360. She spends 2/3 of her savings on a new bike. How much money did she spend on the bike?
7. A school has 450 students. If 4/5 of them participate in sports, how many students play sports?
8. Tom runs 7/4 of his usual distance of 120 metres. How far did Tom run today? (Remember: this is an improper fraction!)

✏️ Part 3: Explain Your Thinking

9. Explain in your own words how to find a fraction of a whole number. Use an example to help your explanation.
10. Check your answer to question 4 (5/3 of 186) by estimating. Explain why your answer makes sense.
11. True or False: When you multiply a whole number by an improper fraction, the answer is always larger than the original whole number. Explain your reasoning.

True

False

Explanation:

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