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Common Core: 5th Grade Math : Interpret the Product (a/b) × q as a Part of a Partition of q into b Equal Parts: CCSS.Math.Content.5.NF.B.4a

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Gerry lives $\frac{2}{7}$ of a mile away from his friend's house. He walked $\frac{2}{4}$ of the way there and then stopped to pet a dog. How far did he travel before he stopped to pet the dog?

Possible Answers:

$9\textup { miles}$

$\frac{6}{28}\textup { of a mile}$

$\frac{9}{28}\textup { of a mile}$

$\frac{4}{28}\textup { of a mile}$

$4\textup { miles}$

Correct answer:

$\frac{4}{28}\textup { of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{4}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{2}{7}$ of a mile away from him so we can set up our multiplication problem.

$\frac{2}{4}\times\frac{2}{7}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

4 28

We make the area model by because those are the denominators of our fractions. We shade up and over , because those are the numerators of our fractions. Our answer is a fraction made up of the boxes that are shaded (the numerator) and the total tiles in the area model (the denominator).

$\frac{2}{4}\times\frac{2}{7}=\frac{4}{28}$

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Example Question #91 : Operations With Fractions And Whole Numbers

Julia lives $\frac{8}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{8}{27}\textup { of a mile}$

$\frac{10}{27}\textup { of a mile}$

$\frac{16}{28}\textup { of a mile}$

$\frac{10}{28}\textup { of a mile}$

$\frac{16}{27}\textup { of a mile}$

Correct answer:

$\frac{16}{27}\textup { of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{8}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{8}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

16 27

$\frac{2}{3}\times\frac{8}{9}=\frac{16}{27}$

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Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Jessie lives $\frac{7}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{14}{27}\textup { of a mile}$

$\frac{14}{26}\textup { of a mile}$

$\frac{9}{27}\textup { of a mile}$

$\frac{10}{26}\textup { of a mile}$

$\frac{10}{27}\textup { of a mile}$

Correct answer:

$\frac{14}{27}\textup { of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{7}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{7}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

14 27

$\frac{2}{3}\times\frac{7}{9}=\frac{14}{27}$

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Example Question #64 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Erica lives $\frac{7}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{6}{28}\textup { of a mile}$

$\frac{6}{27}\textup { of a mile}$

$\frac{7}{27}\textup { of a mile}$

$\frac{8}{27}\textup { of a mile}$

$\frac{8}{28}\textup { of a mile}$

Correct answer:

$\frac{7}{27}\textup { of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{7}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{1}{3}\times\frac{7}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

7 27

$\frac{1}{3}\times\frac{7}{9}=\frac{7}{27}$

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Example Question #65 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Olivia lives $\frac{6}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{7}{27}\text{ of a mile}$

$\frac{5}{26}\text{ of a mile}$

$\frac{7}{26}\text{ of a mile}$

$\frac{6}{26}\text{ of a mile}$

$\frac{6}{27}\text{ of a mile}$

Correct answer:

$\frac{6}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{6}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{1}{3}\times\frac{6}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

6 27

$\frac{1}{3}\times\frac{6}{9}=\frac{6}{27}$

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Example Question #101 : Operations With Fractions And Whole Numbers

Holly lives $\frac{6}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{4}{26}\text{ of a mile}$

$\frac{4}{27}\text{ of a mile}$

$\frac{12}{26}\text{ of a mile}$

$\frac{8}{27}\text{ of a mile}$

$\frac{12}{27}\text{ of a mile}$

Correct answer:

$\frac{12}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{6}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{6}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

12 27

$\frac{2}{3}\times\frac{6}{9}=\frac{12}{27}$

Report an Error

Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Virginia lives $\frac{5}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{7}{26}\text{ of a mile}$

$\frac{3}{26}\text{ of a mile}$

$\frac{10}{27}\text{ of a mile}$

$\frac{3}{27}\text{ of a mile}$

$\frac{7}{27}\text{ of a mile}$

Correct answer:

$\frac{10}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{5}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{5}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

10 27

$\frac{2}{3}\times\frac{5}{9}=\frac{10}{27}$

Report an Error

Example Question #101 : Operations With Fractions And Whole Numbers

Kenzie lives $\frac{5}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{5}{27}\text{ of a mile}$

$\frac{6}{26}\text{ of a mile}$

$\frac{6}{27}\text{ of a mile}$

$\frac{4}{26}\text{ of a mile}$

$\frac{7}{26}\text{ of a mile}$

Correct answer:

$\frac{5}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{5}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{1}{3}\times\frac{5}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

5 27

$\frac{1}{3}\times\frac{5}{9}=\frac{5}{27}$

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Example Question #69 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Elsie lives $\frac{4}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{3}{27}\text{ of a mile}$

$\frac{4}{27}\text{ of a mile}$

$\frac{4}{28}\text{ of a mile}$

$\frac{3}{26}\text{ of a mile}$

$\frac{5}{27}\text{ of a mile}$

Correct answer:

$\frac{4}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{4}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{1}{3}\times\frac{4}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

4 27

$\frac{1}{3}\times\frac{4}{9}=\frac{4}{27}$

Report an Error

Example Question #70 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Nina lives $\frac{4}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{9}{27}\text{ of a mile}$

$\frac{9}{26}\text{ of a mile}$

$\frac{8}{25}\text{ of a mile}$

$\frac{8}{27}\text{ of a mile}$

$\frac{6}{27}\text{ of a mile}$

Correct answer:

$\frac{8}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{4}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{4}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

8 27

$\frac{2}{3}\times\frac{4}{9}=\frac{8}{27}$

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Common Core: 5th Grade Math : Interpret the Product (a/b) × q as a Part of a Partition of q into b Equal Parts: CCSS.Math.Content.5.NF.B.4a

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #91 : Operations With Fractions And Whole Numbers

Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #64 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #65 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #101 : Operations With Fractions And Whole Numbers

Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #101 : Operations With Fractions And Whole Numbers

Example Question #69 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #70 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

All Common Core: 5th Grade Math Resources

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