Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 5th Grade Math : Solve Word Problems Involving Division of Whole Numbers Leading to Answers in the Form of Fractions or Mixed Numbers: CCSS.Math.Content.5.NF.B.3

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 #201 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Aubtin ordered a $97\textup{ inch}$ sub. If he splits the sub into equal pieces, how long will each piece be? Select the answer that contains the pair of numbers that the answer falls between.

Possible Answers:

and

Correct answer:

and

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the size of the sub over the number of pieces to be cut. We get the following:

$\small \frac{97\textup{ inches}}{10\textup{ pieces}}$

can go into only times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

$10\times 9=90$

In order to find out what is left over, we must subtract this number from the numerator.

97-90=7

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

$\frac{7}{10}$

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

$\small \frac{97}{10}=9\frac{7}{10}$

Last, we know that $9\frac{7}{10}$ is between the numbers and ; therefore, the correct answer is:

and

Report an Error

Example Question #1080 : Common Core Math: Grade 5

Aubtin ordered a $108\textup{ inch}$ sub. If he splits the sub into equal pieces, how long will each piece be? Select the answer that contains the pair of numbers that the answer falls between.

Possible Answers:

and

Correct answer:

and

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the size of the sub over the number of pieces to be cut. We get the following:

$\small \frac{108\textup{ inches}}{10\textup{ pieces}}$

can go into 108 only times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

$10\times 10=100$

In order to find out what is left over, we must subtract this number from the numerator.

108-100=8

Then, we put the difference over the denominator:

$\frac{8}{10}$

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

$\small \frac{108}{10}=10\frac{8}{10}$

Last, we know that $10\frac{8}{10}$ is between the numbers and ; therefore, the correct answer is:

and

Report an Error

Example Question #171 : How To Divide Fractions

$\small 10$ people are sharing a $\small 73$ -pound bag of peanuts. If the peanuts are distributed evenly, how many pounds of peanuts will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 6$ and $\small 7$

$\small 8$ and $\small 9$

$\small 4$ and $\small 5$

$\small 7$ and $\small 8$

$\small 5$ and $\small 6$

Correct answer:

$\small 7$ and $\small 8$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{73}{10}=7\frac{3}{10}$

$\small 10$ can go into $\small 73$ only $\small 7$ times with $\small \frac{3}{10}$ left over.

Report an Error

View Tutors

Kenneth
Certified Tutor

North Georgia University, Bachelors, Accounting. Brenau University, Masters, Business.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Jamie
Certified Tutor

East Central University, Bachelors, Special Education.

All Common Core: 5th Grade Math Resources

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

Popular Subjects

Biology Tutors in Philadelphia, Algebra Tutors in Washington DC, Statistics Tutors in Dallas Fort Worth, ISEE Tutors in Boston, GMAT Tutors in San Diego, Math Tutors in Seattle, Computer Science Tutors in Washington DC, Computer Science Tutors in San Diego, GMAT Tutors in Phoenix, French Tutors in Phoenix

Popular Courses & Classes

Spanish Courses & Classes in New York City, SSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Washington DC, GRE Courses & Classes in Houston, LSAT Courses & Classes in Los Angeles, LSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Chicago, ACT Courses & Classes in Philadelphia, GMAT Courses & Classes in New York City, SSAT Courses & Classes in Los Angeles

Popular Test Prep

SSAT Test Prep in Phoenix, MCAT Test Prep in Washington DC, SAT Test Prep in Dallas Fort Worth, ACT Test Prep in Philadelphia, MCAT Test Prep in Atlanta, GRE Test Prep in Denver, GMAT Test Prep in Chicago, SSAT Test Prep in Chicago, GRE Test Prep in Boston, LSAT Test Prep in Boston

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 : Solve Word Problems Involving Division of Whole Numbers Leading to Answers in the Form of Fractions or Mixed Numbers: CCSS.Math.Content.5.NF.B.3

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #201 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #1080 : Common Core Math: Grade 5

Example Question #171 : How To Divide Fractions

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: