Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 5th Grade Math : Number & Operations with Fractions

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

Create An Account

All Common Core: 5th Grade Math Resources

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

Example Questions

Example Question #2990 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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:

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

$3\textup { miles}$

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

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

$2\textup { miles}$

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.

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).

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

Report an Error

Example Question #303 : Fractions

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:

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

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

$4\textup { miles}$

$5\textup { miles}$

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

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 #81 : Operations With Fractions And Whole Numbers

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:

$1\textup { mile}$

$5\textup { miles}$

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

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

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

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 #2993 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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:

$5\textup { miles}$

$7\textup { miles}$

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

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

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

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

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

Report an Error

Example Question #2994 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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:

$7\textup { miles}$

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

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

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

$12\textup { miles}$

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 #2995 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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:

$9\textup { miles}$

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

$18\textup { miles}$

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

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

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

Example Question #82 : Operations With Fractions And Whole Numbers

Zach lives $\frac{5}{7}$ 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:

$8\textup { miles}$

$\frac{15}{28}\textup { of a mile}$

$\frac{11}{28}\textup { of a mile}$

$11\textup { miles}$

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

Correct answer:

$\frac{15}{28}\textup { of a mile}$

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 $\frac{5}{7}$ of a mile away from him so we can set up our multiplication problem.

$\frac{3}{4}\times\frac{5}{7}$

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.

15 28

$\frac{3}{4}\times\frac{5}{7}=\frac{15}{28}$

Report an Error

Example Question #81 : Operations With Fractions And Whole Numbers

Charlie lives $\frac{5}{7}$ 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:

$7\textup { miles}$

$\frac{3}{28}\textup { of a mile}$

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

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

$28\textup { miles}$

Correct answer:

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

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 $\frac{5}{7}$ of a mile away from him so we can set up our multiplication problem.

$\frac{2}{4}\times\frac{5}{7}$

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.

10 28

$\frac{2}{4}\times\frac{5}{7}=\frac{10}{28}$

Report an Error

Example Question #83 : Operations With Fractions And Whole Numbers

Russell lives $\frac{5}{7}$ of a mile away from his friend's house. He walked $\frac{1}{4}$ 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:

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

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

$28\textup { miles}$

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

$4\textup { miles}$

Correct answer:

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

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 $\frac{5}{7}$ of a mile away from him so we can set up our multiplication problem.

$\frac{1}{4}\times\frac{5}{7}$

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.

5 28

$\frac{1}{4}\times\frac{5}{7}=\frac{5}{28}$

Report an Error

Example Question #1954 : Numbers And Operations

Shaun lives $\frac{4}{7}$ 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:

$12\textup { miles}$

$\frac{1}{28}\textup { of a mile}$

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

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

$1\textup { mile}$

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

We know that his friend lives $\frac{4}{7}$ of a mile away from him so we can set up our multiplication problem.

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

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

$\frac{3}{4}\times\frac{4}{7}=\frac{12}{28}$

Report an Error

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Jamie
Certified Tutor

East Central University, Bachelors, Special Education.

View Tutors

Daniel
Certified Tutor

University of Arizona, Bachelor of Science, Mathematics.

All Common Core: 5th Grade Math Resources

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

Popular Subjects

ISEE Tutors in Denver, English Tutors in Boston, French Tutors in Dallas Fort Worth, Physics Tutors in Los Angeles, French Tutors in Chicago, Reading Tutors in Denver, GMAT Tutors in Denver, Reading Tutors in Los Angeles, Statistics Tutors in San Francisco-Bay Area, Statistics Tutors in Boston

Popular Courses & Classes

Spanish Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Los Angeles, GRE Courses & Classes in Los Angeles, SAT Courses & Classes in Atlanta, LSAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Miami, SSAT Courses & Classes in Chicago, ACT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Seattle, ACT Courses & Classes in Atlanta

Popular Test Prep

SAT Test Prep in Washington DC, MCAT Test Prep in Philadelphia, ISEE Test Prep in Denver, SSAT Test Prep in Seattle, ACT Test Prep in Washington DC, ACT Test Prep in Denver, MCAT Test Prep in Boston, ISEE Test Prep in Houston, GMAT Test Prep in Washington DC, MCAT Test Prep in Washington DC

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: 5th Grade Math : Number & Operations with Fractions

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #2990 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #303 : Fractions

Example Question #81 : Operations With Fractions And Whole Numbers

Example Question #2993 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #2994 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #2995 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #82 : Operations With Fractions And Whole Numbers

Example Question #81 : Operations With Fractions And Whole Numbers

Example Question #83 : Operations With Fractions And Whole Numbers

Example Question #1954 : Numbers And Operations

All Common Core: 5th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: