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 #71 : How To Subtract Fractions

Zach cleaned $\frac{1}{8}$ of the house and Alex cleaned $\frac{1}{3}$ of the house. How much more of the house did Alex clean?

Possible Answers:

$\frac{1}{6}$

$\frac{7}{24}$

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{5}{24}$

Correct answer:

$\frac{5}{24}$

Explanation:

$\frac{1}{3}-\frac{1}{8}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{8}\times\frac{3}{3}=\frac{3}{24}$

$\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$

$\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{8}{24}-\frac{3}{24}=\frac{5}{24}$

Report an Error

Example Question #72 : How To Subtract Fractions

Lily pulled $\frac{1}{9}$ of the weeds and Rose pulled $\frac{1}{3}$ . How much more of the weeds did Rose pull?

Possible Answers:

$\frac{5}{7}$

$\frac{1}{9}$

$\frac{2}9{}$

$\frac{3}{5}$

$\frac{2}{3}$

Correct answer:

$\frac{2}9{}$

Explanation:

$\frac{1}{3}-\frac{1}{9}$

In order to solve this problem, we first need to make common denominators.

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

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{3}{9}-\frac{1}{9}=\frac{2}{9}$

Report an Error

Example Question #73 : How To Subtract Fractions

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . How much more of the milk did Sam drink?

Possible Answers:

$\frac{5}{12}$

$\frac{7}8{}$

$\frac{1}2{}$

$\frac{2}3{}$

$\frac{7}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

$\frac{2}{3}-\frac{1}{12}$

In order to solve this problem, we first need to make common denominators.

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{8}{12}-\frac{1}{12}=\frac{7}{12}$

Report an Error

Example Question #74 : How To Subtract Fractions

Jake ate $\frac{1}{7}$ of the popcorn and Dave ate $\small \frac{4}{14}$ of the popcorn. How much more of the popcorn did Dave eat?

Possible Answers:

$\frac{2}7{}$

$\frac{9}{11}$

$\frac{2}3{}$

$\frac{1}7{}$

$\frac{5}6{}$

Correct answer:

$\frac{1}7{}$

Explanation:

$\frac{4}{14}-\frac{1}{7}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{7}\times\frac{2}{2}=\frac{2}{14}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{4}{14}-\frac{2}{14}=\frac{2}{14}$

$\small \frac{2}{14}$ can be reduced by dividing $\small 2$ by both sides.

$\small \frac {2}{14}\div\frac{2}{2}=\frac{1}{7}$

Report an Error

Example Question #21 : Number & Operations With Fractions

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . What fraction of the milk did they drink?

Possible Answers:

$\frac{3}{4}$

$\frac{3}{15}$

$\frac{5}{7}$

$\frac{1}{2}$

$\frac{11}{15}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\frac{1}{12}+\frac{2}{3}$

In order to solve this problem, we first need to make common denominators.

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{1}{12}+\frac{8}{12}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced by dividing by both sides.

$\frac{9}{12}\div \frac{3}{3}=\frac{3}{4}$

Report an Error

Example Question #22 : Number & Operations With Fractions

Lily pulled $\frac{1}{9}$ of the weeds and Rose pulled $\frac{1}{3}$ . What fraction of the weeds have they pulled?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{8}{15}$

$\frac{2}{12}$

$\frac{4}{9}$

Correct answer:

$\frac{4}{9}$

Explanation:

$\frac{1}{9}+\frac{1}{3}$

In order to solve this problem, we first need to make common denominators.

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

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{1}{9}+\frac{3}{9}=\frac{4}{9}$

Report an Error

Example Question #1 : 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

If you bake 374 cookies for your class of 50 people, how many cookies does each student get?

Possible Answers:

Between 8 and 9 cookies

Between 10 and 11 cookies

Between 7 and 8 cookies

Between 9 and 10 cookies

Between 6 and 7 cookies

Correct answer:

Between 7 and 8 cookies

Explanation:

Report an Error

Example Question #1 : 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

$\small 4$ people are sharing a $\small 23$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 2$ and $\small 3$

$\small 4$ and $\small 5$

and $\small 6$

$\small 3$ and $\small 4$

$\small 6$ and $\small 7$

Correct answer:

and $\small 6$

Explanation:

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

$\small \frac{23}{4}=5\frac{3}4{}$

$\small 4$ can go into $\small 23$ only $\small 5$ times with $\small \frac{3}{4}$ left over.

Report an Error

Example Question #2 : 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

$\small 6$ people are sharing a $\small \small 37$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 5$ and $\small 6$

$\small 6$ and $\small 7$

$\small 8$ and $\small 9$

$\small 4$ and $\small 5$

$\small 7$ and $\small 8$

Correct answer:

$\small 6$ and $\small 7$

Explanation:

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

$\small \frac{37}{6}=6\frac{1}{6}$

$\small 6$ can go into $\small 37$ only $\small 6$ times with $\small \frac{1}{6}$ left over.

Report an Error

Example Question #25 : Number & Operations With Fractions

$\small 5$ people are sharing a $\small 43$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 11$ and $\small 12$

$\small 9$ and

$\small 12$ and $\small 13$

$\small 10$ and $\small 11$

$\small 8$ and $\small 9$

Correct answer:

$\small 8$ and $\small 9$

Explanation:

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

$\small \frac{43}{5}=8\frac{3}{5}$

$\small 5$ can go into $\small 43$ only $\small 8$ times with $\small \frac{3}{5}$ left over.

Report an Error

View Tutors

Patrick
Certified Tutor

LeTourneau University, Bachelors, Electrical Engineering. LeTourneau University, Masters, Electrical Engineering.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Kenneth
Certified Tutor

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

All Common Core: 5th Grade Math Resources

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

Popular Subjects

Math Tutors in New York City, GRE Tutors in San Francisco-Bay Area, ACT Tutors in Boston, English Tutors in Phoenix, SAT Tutors in San Diego, Spanish Tutors in Boston, Reading Tutors in Miami, Chemistry Tutors in San Francisco-Bay Area, GRE Tutors in New York City, GMAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

ACT Courses & Classes in Boston, GRE Courses & Classes in Phoenix, ISEE Courses & Classes in Philadelphia, Spanish Courses & Classes in Denver, GMAT Courses & Classes in San Diego, MCAT Courses & Classes in Chicago, GRE Courses & Classes in Denver, MCAT Courses & Classes in Houston, GMAT Courses & Classes in Denver, ACT Courses & Classes in Atlanta

Popular Test Prep

SAT Test Prep in San Diego, LSAT Test Prep in Denver, ISEE Test Prep in San Diego, LSAT Test Prep in San Diego, ISEE Test Prep in Houston, ISEE Test Prep in Chicago, SSAT Test Prep in Seattle, GMAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Atlanta, MCAT Test Prep in New York City

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 #71 : How To Subtract Fractions

Example Question #72 : How To Subtract Fractions

Example Question #73 : How To Subtract Fractions

Example Question #74 : How To Subtract Fractions

Example Question #21 : Number & Operations With Fractions

Example Question #22 : Number & Operations With Fractions

Example Question #1 : 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 #1 : 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 #2 : 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 #25 : Number & Operations With 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: