Multiplying Fractions Practice

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✏️ Part 1: Multiply and Simplify

Worked example: To multiply fractions, multiply the numerators and multiply the denominators. Then simplify.

2/3 × 3/4 = 6/12 = 1/2

1. Draw a rectangle model to show 3/4 × 2/3. Use your model to find the answer and simplify it.

2. Calculate and simplify: 2/3 × 3/5 = _________

3. Calculate: 4/5 × 2 = _________

4. Calculate and simplify: 3/8 × 12 = _________

5. Calculate and simplify: 7/9 × 3/7 = _________

Show your working. Include the correct units in your answer.

6. A recipe uses 2/3 of a cup of oats. How many cups of oats are needed to make 3 batches?

7. A walking track is 2/5 km long. Mia walks 3/4 of the track. How far does she walk?

8. A jacket costs $18. It is reduced by 1/6 of its price. How much money is saved?

9. Challenge: A water tank is 3/4 full. Then 2/5 of the water in the tank is used. What fraction of the tank is still full?

1. 3/4 × 2/3 = 6/12 = 1/2. The model should show one-half shaded.

2. 2/3 × 3/5 = 6/15 = 2/5

3. 4/5 × 2 = 8/5 = 1 3/5

4. 3/8 × 12 = 36/8 = 4 1/2

5. 7/9 × 3/7 = 21/63 = 1/3

6. 2/3 × 3 = 2 cups

7. 3/4 × 2/5 = 6/20 = 3/10 km

8. 1/6 × $18 = $3

9. Used: 2/5 × 3/4 = 3/10. Still full: 3/4 − 3/10 = 9/20