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Multiplying Fractions and Decimals

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Multiplying Fractions and Decimals

Fractions and decimals illustration

🧮 Part 1: Multiplying Fractions by Whole Numbers

1. Calculate these fraction multiplications:

a) 3 × 1/4 = _______

b) 5 × 2/3 = _______

c) 4 × 3/8 = _______

d) 6 × 5/6 = _______

2. A farmer has 7 paddocks, each covering 3/4 of a hectare. What is the total area?
3. Which method do you prefer for multiplying fractions by whole numbers?

Repeated addition (e.g., 1/4 + 1/4 + 1/4)

Multiply the numerator by the whole number

Using visual models like fraction strips

4. Convert these improper fractions to mixed numbers:

a) 9/4 = _______

b) 13/3 = _______

🔢 Part 2: Multiplying Decimals by Whole Numbers

5. First estimate, then calculate using the vertical method:

a) 4 × 2.6 = Estimate: _____ Exact answer: _______

b) 7 × 1.35 = Estimate: _____ Exact answer: _______

c) 3 × 0.8 = Estimate: _____ Exact answer: _______

6. A bag of fertiliser weighs 2.75 kg. If you buy 6 bags, what is the total weight?
7. True or False: When you multiply a whole number by a decimal less than 1, the answer is smaller than the original whole number.

True

False

Explain your reasoning: ________________________________

🌾 Part 3: Problem Solving - Manawatu Farm Context

8. A local farm shop sells apples for $3.50 per kg. If you buy 4 kg of apples, how much will you pay?
9. Extension Challenge: A sheep farmer has 8 paddocks. Each paddock is 2 3/4 hectares. What is the total area of all paddocks combined?
10. Reflection: Write one strategy you found helpful today for multiplying fractions or decimals by whole numbers.

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