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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

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Example Questions

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Example Question #41 : 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

Drew lives $\frac{3}{4}$ of a mile away from his friend's house. He walked $\frac{1}{5}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$\frac{4}{20}\textup { of a mile}$

$4\textup { miles}$

$2\textup { miles}$

$\frac{3}{20}\textup { of a mile}$

$\frac{2}{20}\textup { of a mile}$

Correct answer:

$\frac{3}{20}\textup { of a mile}$

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". $\frac{1}{5}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{3}{4}$ of a mile away from him so we can set up our multiplication problem.

$\frac{1}{5}\times\frac{3}{4}$

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.

3 20

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).

$\frac{1}{5}\times\frac{3}{4}=\frac{3}{20}$

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Example Question #42 : 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

Armen lives $\frac{3}{4}$ of a mile away from his friend's house. He walked $\frac{2}{5}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$\frac{1}{20}\textup { of a mile}$

$\frac{7}{20}\textup { of a mile}$

$6\textup { miles}$

$\frac{6}{20}\textup { of a mile}$

$1\textup { mile}$

Correct answer:

$\frac{6}{20}\textup { of a mile}$

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". $\frac{2}{5}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{3}{4}$ of a mile away from him so we can set up our multiplication problem.

$\frac{2}{5}\times\frac{3}{4}$

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 20

$\frac{2}{5}\times\frac{3}{4}=\frac{6}{20}$

Report an Error

Example Question #43 : 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

Brett lives $\frac{3}{4}$ of a mile away from his friend's house. He walked $\frac{3}{5}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$\frac{9}{20}\textup { of a mile}$

$\frac{6}{20}\textup { of a mile}$

$6\textup { miles}$

$9\textup { miles}$

$20\textup { miles}$

Correct answer:

$\frac{9}{20}\textup { of a mile}$

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". $\frac{3}{5}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{3}{4}$ of a mile away from him so we can set up our multiplication problem.

$\frac{3}{5}\times\frac{3}{4}$

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.

9 20

$\frac{3}{5}\times\frac{3}{4}=\frac{9}{20}$

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Example Question #44 : 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

Steve lives $\frac{3}{4}$ of a mile away from his friend's house. He walked $\frac{4}{5}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$\frac{7}{20}\textup { of a mile}$

$7\textup { miles}$

$\frac{13}{20}\textup { of a mile}$

$\frac{12}{20}\textup { of a mile}$

$12\textup { miles}$

Correct answer:

$\frac{12}{20}\textup { of a mile}$

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". $\frac{4}{5}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{3}{4}$ of a mile away from him so we can set up our multiplication problem.

$\frac{4}{5}\times\frac{3}{4}$

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 20

$\frac{4}{5}\times\frac{3}{4}=\frac{12}{20}$

Report an Error

Example Question #301 : Fractions

David lives $\frac{2}{4}$ of a mile away from his friend's house. He walked $\frac{1}{5}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$\frac{3}{20}\textup { of a mile}$

$2\textup { miles}$

$\frac{2}{20}\textup { of a mile}$

$\frac{5}{20}\textup { of a mile}$

$3\textup { miles}$

Correct answer:

$\frac{2}{20}\textup { of a mile}$

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". $\frac{1}{5}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{2}{4}$ of a mile away from him so we can set up our multiplication problem.

$\frac{1}{5}\times\frac{2}{4}$

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.

$\frac{1}{5}\times\frac{2}{4}=\frac{2}{20}$

Report an Error

Example Question #41 : 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

Matt lives $\frac{2}{4}$ of a mile away from his friend's house. He walked $\frac{2}{5}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$4\textup { miles}$

$5\textup { miles}$

$\frac{4}{20}\textup { of a mile}$

$\frac{8}{20}\textup { of a mile}$

$\frac{5}{20}\textup { of a mile}$

Correct answer:

$\frac{4}{20}\textup { of a mile}$

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". $\frac{2}{5}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{2}{4}$ of a mile away from him so we can set up our multiplication problem.

$\frac{2}{5}\times\frac{2}{4}$

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 20

$\frac{2}{5}\times\frac{2}{4}=\frac{4}{20}$

Report an Error

Example Question #47 : 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

Brian lives $\frac{2}{4}$ of a mile away from his friend's house. He walked $\frac{3}{5}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$\frac{5}{20}\textup { of a mile}$

$\frac{6}{20}\textup { of a mile}$

$1\textup { mile}$

$5\textup { miles}$

$\frac{1}{20}\textup { of a mile}$

Correct answer:

$\frac{6}{20}\textup { of a mile}$

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". $\frac{3}{5}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{2}{4}$ of a mile away from him so we can set up our multiplication problem.

$\frac{3}{5}\times\frac{2}{4}$

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 20

$\frac{3}{5}\times\frac{2}{4}=\frac{6}{20}$

Report an Error

Example Question #41 : 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

Greg lives $\frac{6}{7}$ of a mile away from his friend's house. He walked $\frac{1}{4}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

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

$\frac{7}{28}\textup { of a mile}$

$\frac{5}{28}\textup { of a mile}$

$5\textup { miles}$

$7\textup { miles}$

Correct answer:

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

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". $\frac{1}{4}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{6}{7}$ of a mile away from him so we can set up our multiplication problem.

$\frac{1}{4}\times\frac{6}{7}$

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.

6 28

$\frac{1}{4}\times\frac{6}{7}=\frac{6}{28}$

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Example Question #41 : 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

Dan lives $\frac{6}{7}$ of a mile away from his friend's house. He walked $\frac{2}{4}$ of the way there and then stopped to tie his shoe. How far did he travel before he stopped to tie his shoe?

Possible Answers:

$\frac{7}{28}\textup { of a mile}$

$12\textup { miles}$

$7\textup { miles}$

$\frac{12}{28}\textup { of a mile}$

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

Correct answer:

$\frac{12}{28}\textup { of a mile}$

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 $\frac{6}{7}$ of a mile away from him so we can set up our multiplication problem.

$\frac{2}{4}\times\frac{6}{7}$

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.

12 28

$\frac{2}{4}\times\frac{6}{7}=\frac{12}{28}$

Report an Error

Example Question #81 : Operations With Fractions And Whole Numbers

Tim lives $\frac{6}{7}$ of a mile away from his friend's house. He walked $\frac{3}{4}$ 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:

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

$\frac{14}{28}\textup { of a mile}$

$9\textup { miles}$

$\frac{18}{28}\textup { of a mile}$

$18\textup { miles}$

Correct answer:

$\frac{18}{28}\textup { of a mile}$

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". $\frac{3}{4}$ of the way to his friends house he stopped.

We know that his friend lives $\frac{6}{7}$ of a mile away from him so we can set up our multiplication problem.

$\frac{3}{4}\times\frac{6}{7}$

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.

18 28

$\frac{3}{4}\times\frac{6}{7}=\frac{18}{28}$

Report an Error

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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 #41 : 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 #42 : 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 #43 : 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 #44 : 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 #301 : Fractions

Example Question #41 : 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 #47 : 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 #41 : 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 #41 : 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 #81 : Operations With Fractions And Whole Numbers

All Common Core: 5th Grade Math Resources

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