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 #521 : Number & Operations With Fractions

A recipe calls for $\frac{1}{6}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{2}\ cup$

$\frac{1}{12}\ cup$

$\frac{1}{10}\ cup$

$\frac{1}{9}\ cup$

$\frac{2}{6}\ cup$

Correct answer:

$\frac{1}{12}\ cup$

Explanation:

When you cut something in half, you can either divide by or multiply by $\frac{1}{2}$ . Remember, when you divide fractions, you actually multiply by the reciprocal. The reciprocal of is $\frac{1}{2}$ .

$\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}$

Report an Error

Example Question #522 : Number & Operations With Fractions

A recipe calls for $\frac{5}{6}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{11}{12}\ cup$

$\frac{1}{12}\ cup$

$\frac{7}{12}\ cup$

$\frac{3}{12}\ cup$

$\frac{5}{12}\ cup$

Correct answer:

$\frac{5}{12}\ cup$

Explanation:

$\frac{5}{6}\times\frac{1}{2}=\frac{5}{12}$

Report an Error

Example Question #281 : How To Multiply Fractions

A recipe calls for $\frac{2}{9}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{3}{9}\ cup$

$\frac{1}{9}\ cup$

$\frac{1}{2}\ cup$

$\frac{1}{3}\ cup$

$\frac{2}{3}\ cup$

Correct answer:

$\frac{1}{9}\ cup$

Explanation:

$\frac{2}{9}\times\frac{1}{2}=\frac{2}{18}$

Reduce to find your final answer

$\frac{2}{18}\div\frac{2}{2}=\frac{1}{9}$

Report an Error

Example Question #293 : How To Multiply Fractions

Dan collected $\small \frac{1}{4}$ of a bag of leaves. Sean collected $\small 6$ times as many bags as Dan. How many bags did Sean collect?

Possible Answers:

$\small 3$

$\small 1$

$\small 2\frac{2}{4}$

$\small 1\frac{1}{2}$

Correct answer:

$\small 1\frac{1}{2}$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{6}{1}\times\frac{1}{4}=\frac{6}{4}$

$\small \frac{6}{4}=1\frac{2}{4}$ Because can go into $\small 6$ only $\small 1$ time and $\small \frac{2}{4}$ is left over.

Sean collected $\small 1\frac{2}{4}$ bags of leaves.

$\frac{2}{4}\div\frac{2}{2}=\frac{1}{2}$

Report an Error

Example Question #1 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Which of the following statements is FALSE?

Possible Answers:

$2\times3\div 3=\frac{2}{1}\times\frac{3}{1}\times\frac{1}{3}$

$\frac{7}{8}\times8=\frac{7}{8}\div \frac{1}{8}$

$4\div 3=4\times\frac{1}{3}$

$\frac{1}{3}\times4=4\times\frac{1}{3}$

$\frac{1}{3}\div 4=4\div \frac{1}{3}$

Correct answer:

$\frac{1}{3}\div 4=4\div \frac{1}{3}$

Explanation:

Report an Error

Example Question #521 : Number & Operations With Fractions

Solve the following:

$\small \frac{1}{2}\div\frac{2}{3}$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{1}{2}$

$\small \frac{5}{6}$

$\small \frac{3}2{}$

$\small \frac{3}{4}$

Correct answer:

$\small \frac{3}{4}$

Explanation:

$\small \frac{1}{2}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{2}\times\frac{3}{2}=\frac{3}{4}$

Report an Error

Example Question #522 : Number & Operations With Fractions

$\small \frac{1}{7}\div\frac{2}{3}$

Possible Answers:

$\small \frac{3}{11}$

$\small \frac{3}{14}$

$\small \frac{14}{3}$

$\small \frac{21}{2}$

$\small \frac{2}{21}$

Correct answer:

$\small \frac{3}{14}$

Explanation:

$\small \frac{1}{7}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{7}\times\frac{3}{2}=\frac{3}{14}$

Report an Error

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{2}{9}\div\frac{1}{2}$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{18}{2}$

$\small \frac{4}{9}$

$\small \frac{2}{18}$

$\small \frac{9}{4}$

Correct answer:

$\small \frac{4}{9}$

Explanation:

$\small \frac{2}{9}\div\frac{1}{2}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{2}{9}\times\frac{2}{1}=\frac{4}{9}$

Report an Error

Example Question #4 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{3}{4}\div\frac{1}{5}$

Possible Answers:

$\small \frac{17}{7}$

$\small \frac{4}{15}$

$\small \frac{15}{4}$

$\small \frac{20}{3}$

$\small \frac{3}{20}$

Correct answer:

$\small \frac{15}{4}$

Explanation:

$\small \frac{3}{4}\div\frac{1}{5}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{4}\times\frac{5}{1}=\frac{15}{4}$

Report an Error

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{3}{14}\div\frac{1}{3}$

Possible Answers:

$\small \frac{9}{11}$

$\small \frac{42}{3}$

$\small \frac{11}{9}$

$\small \frac{9}{14}$

$\small \frac{3}{42}$

Correct answer:

$\small \frac{9}{14}$

Explanation:

$\small \frac{3}{14}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{14}\times\frac{3}{1}=\frac{9}{14}$

Report an Error

View Tutors

Patrick
Certified Tutor

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

View Tutors

Jamie
Certified Tutor

East Central University, Bachelors, Special Education.

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

Statistics Tutors in Houston, Chemistry Tutors in Washington DC, English Tutors in Houston, GMAT Tutors in Boston, Reading Tutors in Boston, SAT Tutors in Atlanta, GMAT Tutors in Washington DC, Calculus Tutors in Phoenix, GRE Tutors in Dallas Fort Worth, LSAT Tutors in Miami

Popular Courses & Classes

SAT Courses & Classes in Miami, Spanish Courses & Classes in Phoenix, Spanish Courses & Classes in Philadelphia, SSAT Courses & Classes in Denver, SSAT Courses & Classes in Seattle, SSAT Courses & Classes in Washington DC, GMAT Courses & Classes in Miami, LSAT Courses & Classes in Boston, GRE Courses & Classes in Chicago, SAT Courses & Classes in Houston

Popular Test Prep

GRE Test Prep in Philadelphia, MCAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Washington DC, SSAT Test Prep in Philadelphia, GRE Test Prep in New York City, SAT Test Prep in Chicago, ISEE Test Prep in Dallas Fort Worth, MCAT Test Prep in Los Angeles, GMAT Test Prep in New York City, ACT Test Prep in Phoenix

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 #521 : Number & Operations With Fractions

Example Question #522 : Number & Operations With Fractions

Example Question #281 : How To Multiply Fractions

Example Question #293 : How To Multiply Fractions

Example Question #1 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #521 : Number & Operations With Fractions

Example Question #522 : Number & Operations With Fractions

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #4 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

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: