5.NF.4: Multiplying Fractions

I can apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Problem 1

A recipe calls for 2/3 cup of flour, but you want to make 3/4 of the recipe. How much flour do you need?
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Problem 2

If 3/4 of a garden is planted with vegetables, and 2/5 of the vegetable section is tomatoes, what fraction of the entire garden is tomatoes?
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Problem 3

Create a word problem that requires multiplying two fractions where the answer is less than both original fractions.
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Problem 4

Explain why multiplying two proper fractions always results in a product smaller than either factor.
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Problem 5

A rectangular poster is 3/4 meter long and 2/3 meter wide. What is its area?
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Problem 6

Design a real-world scenario where multiplying a whole number by a fraction is necessary.
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Problem 7

If you walk 2/3 of your usual route, and your usual route is 3/4 mile, how far did you walk?
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Problem 8

Create a multi-step problem that involves both adding and multiplying fractions.
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Problem 9

Analyze the pattern when multiplying fractions: does the order matter? Prove your answer.
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Problem 10

Develop a visual model that clearly shows why 1/2 × 1/3 = 1/6.
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