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Multiplying Fractions and Decimals

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Multiplying Fractions and Decimals worksheet preview

Multiplying Fractions and Decimals

Mathematical symbols and fractions illustration

🧮 Part 1: Multiplying Fractions by Whole Numbers

1. Calculate these fraction multiplications. Show your working.

a) 4 × 1/3 = _______

b) 3 × 2/5 = _______

c) 6 × 3/4 = _______

2. A farmer plants seeds in rows. Each row is 2/3 of a metre long. If there are 5 rows, what is the total length?
3. Circle the correct answer: When you multiply a fraction by a whole number, you multiply the _______ by the whole number.

numerator (top number)

denominator (bottom number)

both numerator and denominator

4. Extension: Convert your answer from question 1c to a mixed number.

🔢 Part 2: Multiplying Decimals by Whole Numbers

5. Use the vertical method to calculate these decimal multiplications:

a) 3 × 1.4 = _______

b) 5 × 2.75 = _______

c) 4 × 0.6 = _______

6. A packet of fertiliser weighs 1.25 kg. How much do 6 packets weigh altogether?
7. Estimate first, then calculate: 7 × 3.8

My estimate: 7 × _____ = approximately _____

Exact calculation: _____________

8. 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 answer: ________________________________

🌾 Part 3: Real-Life Problem Solving

9. A local farm sells apples for $3.50 per kilogram. How much would 8 kilograms cost?
10. Challenge Problem: A paddock is divided into sections. Each section covers 3/8 of a hectare. If there are 12 sections, what is the total area of the paddock? Give your answer as both an improper fraction and a mixed number.

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