Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 7th Grade Math : Ratios & Proportional Relationships

Study concepts, example questions & explanations for Common Core: 7th Grade Math

Create An Account

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Grade 7

David walks $\frac{1}{8}$ of a mile in $\frac{1}{2}$ of an hour. If he continues this rate, what is David's speed in miles per hour $(\textup{mph})?$

Possible Answers:

$\frac{1}{5}\textup{ mph}$

$\frac{1}{4}\textup{ mph}$

$\frac{1}{2}\textup{ mph}$

$\frac{3}{4}\textup{ mph}$

$\frac{5}{8}\textup{ mph}$

Correct answer:

$\frac{1}{4}\textup{ mph}$

Explanation:

The phrase "miles per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have miles, $\frac{1}{8}$ , divided by hours, $\frac{1}{2}$ :

$\frac{\ \frac{1}{8}\ \textup{miles}}{\ \frac{1}{2}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{2}\rightarrow \frac{2}{1}$

Therefore:

$\frac{1}{8}\times\frac{2}{1}=\frac{2}{8}=\frac{1}{4}$

David can walk at a speed of:

$\frac{1}{4}\textup{ mph}$

Report an Error

Example Question #21 : Ratios & Proportional Relationships

Jenni drinks $\frac{1}{3}$ of a liter of water in $\frac{1}{2}$ of an hour. If she continues this rate, how many liters per hour does Jenni drink?

Possible Answers:

$\frac{2}{3}\textup{ liters per hour}$

$\frac{1}{5}\textup{ liters per hour}$

$\frac{2}{5}\textup{ liters per hour}$

$\frac{1}{3}\textup{ liters per hour}$

$\frac{3}{5}\textup{ liters per hour}$

Correct answer:

$\frac{2}{3}\textup{ liters per hour}$

Explanation:

The phrase "liters per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have liters, $\frac{1}{3}$ , divided by hours, $\frac{1}{2}$ :

$\frac{\ \frac{1}{3}\ \textup{liters}}{\ \frac{1}{2}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{2}\rightarrow \frac{2}{1}$

Therefore:

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

Jenni drinks $\frac{2}{3}\textup{ liters per hour}$

Report an Error

Example Question #21 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Lisa drinks $\frac{1}{4}$ of a liter of water in $\frac{1}{2}$ of an hour. If she continues this rate, how many liters per hour does Lisa drink?

Possible Answers:

$\frac{1}{4}\textup{ liter per hour}$

$\frac{2}{3}\textup{ liter per hour}$

$\frac{3}{4}\textup{ liter per hour}$

$\frac{1}{2}\textup{ liter per hour}$

$\frac{1}{3}\textup{ liter per hour}$

Correct answer:

$\frac{1}{2}\textup{ liter per hour}$

Explanation:

$\frac{\ \frac{1}{4}\ \textup{liters}}{\ \frac{1}{2}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{2}\rightarrow \frac{2}{1}$

Therefore:

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

Lisa drinks $\frac{1}{2}\textup{ liter per hour}$

Report an Error

Example Question #22 : Grade 7

Molly drinks $\frac{1}{5}$ of a liter of water in $\frac{1}{2}$ of an hour. If she continues this rate, how many liters per hour does Molly drink?

Possible Answers:

$\frac{2}{5}\textup{ liters per hour}$

$\frac{3}{5}\textup{ liters per hour}$

$\frac{2}{3}\textup{ liters per hour}$

$\frac{1}{5}\textup{ liters per hour}$

$\frac{4}{5}\textup{ liters per hour}$

Correct answer:

$\frac{2}{5}\textup{ liters per hour}$

Explanation:

$\frac{\ \frac{1}{5}\ \textup{liters}}{\ \frac{1}{2}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{2}\rightarrow \frac{2}{1}$

Therefore:

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

Molly drinks $\frac{2}{5}\textup{ liters per hour}$

Report an Error

Example Question #24 : Ratios & Proportional Relationships

Emily drinks $\frac{1}{6}$ of a liter of water in $\frac{1}{2}$ of an hour. If she continues this rate, how many liters per hour does Emily drink?

Possible Answers:

$\frac{1}{2}\textup{ liters per hour}$

$\frac{1}{3}\textup{ liters per hour}$

$\frac{5}{6}\textup{ liters per hour}$

$\frac{1}{6}\textup{ liters per hour}$

$\frac{2}{3}\textup{ liters per hour}$

Correct answer:

$\frac{1}{3}\textup{ liters per hour}$

Explanation:

$\frac{\ \frac{1}{6}\ \textup{liters}}{\ \frac{1}{2}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{2}\rightarrow \frac{2}{1}$

Therefore:

$\frac{1}{6}\times\frac{2}{1}=\frac{2}{6}=\frac{1}{3}$

Emily drinks $\frac{1}{3}\textup{ liters per hour}$

Report an Error

Example Question #23 : Grade 7

Leah drinks $\frac{1}{7}$ of a liter of water in $\frac{1}{2}$ of an hour. If she continues this rate, how many liters per hour does Leah drink?

Possible Answers:

$\frac{3}{7}\textup{ liters per hour}$

$\frac{2}{7}\textup{ liters per hour}$

$\frac{4}{7}\textup{ liters per hour}$

$\frac{5}{7}\textup{ liters per hour}$

$\frac{1}{7}\textup{ liters per hour}$

Correct answer:

$\frac{2}{7}\textup{ liters per hour}$

Explanation:

$\frac{\ \frac{1}{7}\ \textup{liters}}{\ \frac{1}{2}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{2}\rightarrow \frac{2}{1}$

Therefore:

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

Leah drinks $\frac{2}{7}\textup{ liters per hour}$

Report an Error

Example Question #21 : Grade 7

Judy eats $\frac{1}{5}$ of a bag of chips in $\frac{1}{3}$ of an hour. If she continues this rate, how much of the bag can she eat per hour?

Possible Answers:

$\frac{2}{5}\textup{ of a bag of chips per hour}$

$\frac{2}{3}\textup{ of a bag of chips per hour}$

$\frac{1}{5}\textup{ of a bag of chips per hour}$

$\frac{3}{5}\textup{ of a bag of chips per hour}$

$\frac{4}{5}\textup{ of a bag of chips per hour}$

Correct answer:

$\frac{3}{5}\textup{ of a bag of chips per hour}$

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have amount of chips, $\frac{1}{5}$ , divided by hours, $\frac{1}{3}$ :

$\frac{\ \frac{1}{5}\ \textup{bag of chips}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

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

Judy can eat $\frac{3}{5}\textup{ of a bag of chips per hour}$

Report an Error

Example Question #24 : Grade 7

Nancy eats $\frac{1}{6}$ of a bag of chips in $\frac{1}{3}$ of an hour. If she continues this rate, how much of the bag can she eat per hour?

Possible Answers:

$\frac{5}{6}\textup{ of a bag of chips per hour}$

$\frac{3}{4}\textup{ of a bag of chips per hour}$

$\frac{1}{2}\textup{ of a bag of chips per hour}$

$\frac{1}{6}\textup{ of a bag of chips per hour}$

$\frac{1}{4}\textup{ of a bag of chips per hour}$

Correct answer:

$\frac{1}{2}\textup{ of a bag of chips per hour}$

Explanation:

$\frac{\ \frac{1}{6}\ \textup{bag of chips}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

$\frac{1}{6}\times\frac{3}{1}=\frac{3}{6}=\frac{1}{2}$

Nancy can eat $\frac{1}{2}\textup{ of a bag of chips per hour}$

Report an Error

Example Question #25 : Grade 7

Shellie eats $\frac{1}{7}$ of a bag of chips in $\frac{1}{3}$ of an hour. If she continues this rate, how much of the bag can she eat per hour?

Possible Answers:

$\frac{2}{7}\textup{ of a bag of chips per hour}$

$\frac{4}{7}\textup{ of a bag of chips per hour}$

$\frac{6}{7}\textup{ of a bag of chips per hour}$

$\frac{3}{7}\textup{ of a bag of chips per hour}$

$\frac{5}{7}\textup{ of a bag of chips per hour}$

Correct answer:

$\frac{3}{7}\textup{ of a bag of chips per hour}$

Explanation:

$\frac{\ \frac{1}{7}\ \textup{bag of chips}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

$\frac{1}{7}\times\frac{3}{1}=\frac{3}{7}$

Shellie can eat $\frac{3}{7}\textup{ of a bag of chips per hour}$

Report an Error

Example Question #30 : Ratios & Proportional Relationships

Lilly eats $\frac{1}{8}$ of a bag of chips in $\frac{1}{3}$ of an hour. If she continues this rate, how much of the bag can she eat per hour?

Possible Answers:

$\frac{1}{8}\textup{ of a bag of chips per hour}$

$\frac{5}{8}\textup{ of a bag of chips per hour}$

$\frac{1}{4}\textup{ of a bag of chips per hour}$

$\frac{3}{8}\textup{ of a bag of chips per hour}$

$\frac{1}{2}\textup{ of a bag of chips per hour}$

Correct answer:

$\frac{3}{8}\textup{ of a bag of chips per hour}$

Explanation:

$\frac{\ \frac{1}{8}\ \textup{bag of chips}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

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

Lilly can eat $\frac{3}{8}\textup{ of a bag of chips per hour}$

Report an Error

View Tutors

David
Certified Tutor

Kent State University, Bachelors, Marketing. Kent State University at Kent, Masters in Education, Special Education.

View Tutors

Rainier
Certified Tutor

Norfolk State University, Bachelors, Physics.

View Tutors

Patrick
Certified Tutor

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

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Washington DC, Computer Science Tutors in Denver, Computer Science Tutors in San Diego, English Tutors in Miami, SSAT Tutors in Boston, English Tutors in Seattle, ISEE Tutors in San Diego, Physics Tutors in Atlanta, Statistics Tutors in Denver, Math Tutors in Dallas Fort Worth

Popular Courses & Classes

GRE Courses & Classes in Denver, GMAT Courses & Classes in Boston, ISEE Courses & Classes in Denver, GRE Courses & Classes in Atlanta, GRE Courses & Classes in Los Angeles, GMAT Courses & Classes in Atlanta, ISEE Courses & Classes in Atlanta, ISEE Courses & Classes in Phoenix, ACT Courses & Classes in Seattle, ACT Courses & Classes in Los Angeles

Popular Test Prep

MCAT Test Prep in Denver, SAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Atlanta, GRE Test Prep in New York City, ISEE Test Prep in Denver, LSAT Test Prep in San Diego, ISEE Test Prep in Chicago, LSAT Test Prep in Phoenix, GRE Test Prep in Los Angeles, SAT 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: 7th Grade Math : Ratios & Proportional Relationships

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #21 : Grade 7

Example Question #21 : Ratios & Proportional Relationships

Example Question #21 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Example Question #22 : Grade 7

Example Question #24 : Ratios & Proportional Relationships

Example Question #23 : Grade 7

Example Question #21 : Grade 7

Example Question #24 : Grade 7

Example Question #25 : Grade 7

Example Question #30 : Ratios & Proportional Relationships

All Common Core: 7th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: