Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 7th Grade Math : Compute Unit Rates Associated with Ratios of Fractions: CCSS.Math.Content.7.RP.A.1

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 #51 : Ratios & Proportional Relationships

A baker can decorate $\frac{1}{13}$ of a wedding cake in $\frac{1}{4}$ of an hour. If the baker continues this rate, how much of the wedding cake can he decorate per hour?

Possible Answers:

$\frac{3}{13}\textup{ of the cake}$

$\frac{5}{13}\textup{ of the cake}$

$\frac{7}{13}\textup{ of the cake}$

$\frac{4}{13}\textup{ of the cake}$

$\frac{6}{13}\textup{ of the cake}$

Correct answer:

$\frac{4}{13}\textup{ of the cake}$

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 the portion of the cake decorated, $\frac{1}{13}$ , divided by hours, $\frac{1}{4}$ :

$\frac{\ \frac{1}{13}\ \textup{of a cake}}{\ \frac{1}{4}\ \textup{hours}}$

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

$\frac{1}{4}\rightarrow \frac{4}{1}$

Therefore:

$\frac{1}{13}\times\frac{4}{1}=\frac{4}{13}$

The baker can decorate $\frac{4}{13}$ of the wedding cake per hour.

Report an Error

Example Question #52 : Ratios & Proportional Relationships

A painter can paint $\frac{1}{8}$ of a house in $\frac{1}{5}$ of an hour. If he continues this rate, how much of the house can he paint per hour?

Possible Answers:

$\frac{3}{8}\textup{ of a house}$

$\frac{7}{8}\textup{ of a house}$

$\frac{5}{8}\textup{ of a house}$

$\frac{1}{2}\textup{ of a house}$

$\frac{1}{4}\textup{ of a house}$

Correct answer:

$\frac{5}{8}\textup{ of a house}$

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 portion of the house painted, $\frac{1}{8}$ , divided by hours, $\frac{1}{5}$ :

$\frac{\ \frac{1}{8}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

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

$\frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

$\frac{1}{8}\times\frac{5}{1}=\frac{5}{8}$

The painter can paint $\frac{5}{8}$ of a house per hour.

Report an Error

Example Question #53 : Ratios & Proportional Relationships

A painter can paint $\frac{1}{7}$ of a house in $\frac{1}{5}$ of an hour. If he continues this rate, how much of the house can he paint per hour?

Possible Answers:

$\frac{4}{7}\textup{ of a house}$

$\frac{3}{7}\textup{ of a house}$

$\frac{6}{7}\textup{ of a house}$

$\frac{2}{7}\textup{ of a house}$

$\frac{5}{7}\textup{ of a house}$

Correct answer:

$\frac{5}{7}\textup{ of a house}$

Explanation:

$\frac{\ \frac{1}{7}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

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

$\frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

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

The painter can paint $\frac{5}{7}$ of a house per hour.

Report an Error

Example Question #54 : Ratios & Proportional Relationships

A painter can paint $\frac{1}{6}$ of a house in $\frac{1}{5}$ of an hour. If he continues this rate, how much of the house can he paint per hour?

Possible Answers:

$\frac{1}{3}\textup{ of a house}$

$\frac{2}{3}\textup{ of a house}$

$\frac{1}{2}\textup{ of a house}$

$\frac{5}{6}\textup{ of a house}$

$\frac{1}{6}\textup{ of a house}$

Correct answer:

$\frac{5}{6}\textup{ of a house}$

Explanation:

$\frac{\ \frac{1}{6}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

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

$\frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

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

The painter can paint $\frac{5}{6}$ of a house per hour.

Report an Error

Example Question #55 : Ratios & Proportional Relationships

A painter can paint $\frac{1}{5}$ of a house in $\frac{1}{5}$ of an hour. If he continues this rate, how much of the house can he paint per hour?

Possible Answers:

$\frac{4}{5}\textup{ of a house}$

$1\textup{ house}$

$\frac{3}{5}\textup{ of a house}$

$\frac{2}{5}\textup{ of a house}$

$2\textup{ houses}$

Correct answer:

$1\textup{ house}$

Explanation:

$\frac{\ \frac{1}{5}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

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

$\frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

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

The painter can paint of a house per hour.

Report an Error

Example Question #56 : Ratios & Proportional Relationships

A painter can paint $\frac{1}{4}$ of a house in $\frac{1}{5}$ of an hour. If he continues this rate, how much of the house can he paint per hour?

Possible Answers:

$1\frac{3}{5}\textup{ houses}$

$\frac{4}{5}\textup{ of a house}$

$\frac{3}{5}\textup{ of a house}$

$1\frac{2}{5}\textup{ houses}$

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

Correct answer:

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

Explanation:

$\frac{\ \frac{1}{4}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

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

$\frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

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

The painter can paint $1\frac{1}{5}$ of a house per hour.

Report an Error

Example Question #57 : Ratios & Proportional Relationships

A landscaper can mow $\frac{1}{4}$ of a yard in $\frac{1}{8}$ of an hour. If he continues at this rate, how many yards can the landscaper mow per hour?

Possible Answers:

$2\textup{ yards}$

$2\frac{1}{4}\textup{ yards}$

$2\frac{1}{8}\textup{ yards}$

$1\textup{ yard}$

$1\frac{1}{8}\textup{ yards}$

Correct answer:

$2\textup{ yards}$

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 yards, $\frac{1}{4}$ , divided by hours, $\frac{1}{8}$ :

$\frac{\ \frac{1}{4}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

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

$\frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

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

The landscaper can mow yards per hour.

Report an Error

Example Question #58 : Ratios & Proportional Relationships

A landscaper can mow $\frac{1}{5}$ of a yard in $\frac{1}{8}$ of an hour. If he continues at this rate, how many yards can the landscaper mow per hour?

Possible Answers:

$1\textup{ yard}$

$1\frac{2}{5}\textup{ yards}$

$1\frac{3}{5}\textup{ yards}$

$1\frac{4}{5}\textup{ yards}$

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

Correct answer:

$1\frac{3}{5}\textup{ yards}$

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 yards, $\frac{1}{5}$ , divided by hours, $\frac{1}{8}$ :

$\frac{\ \frac{1}{5}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

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

$\frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\frac{1}{5}\times\frac{8}{1}=\frac{8}{5}=1\frac{3}{5}$

The landscaper can mow $1\frac{3}{5}$ yards per hour.

Report an Error

Example Question #59 : Ratios & Proportional Relationships

A landscaper can mow $\frac{1}{6}$ of a yard in $\frac{1}{8}$ of an hour. If he continues at this rate, how many yards can the landscaper mow per hour?

Possible Answers:

$1\frac{5}{6}\textup{ yards}$

$1\frac{1}{3}\textup{ yards}$

$1\frac{2}{3}\textup{ yards}$

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

$1\frac{1}{6}\textup{ yards}$

Correct answer:

$1\frac{1}{3}\textup{ yards}$

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 yards, $\frac{1}{6}$ , divided by hours, $\frac{1}{8}$ :

$\frac{\ \frac{1}{6}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

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

$\frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\frac{1}{6}\times\frac{8}{6}=\frac{8}{6}=1\frac{2}{6}=1\frac{1}{3}$

The landscaper can mow $1\frac{1}{3}$ yards per hour.

Report an Error

Example Question #60 : Ratios & Proportional Relationships

A landscaper can mow $\frac{1}{7}$ of a yard in $\frac{1}{8}$ of an hour. If he continues at this rate, how many yards can the landscaper mow per hour?

Possible Answers:

$1\frac{4}{7}\textup{ yards}$

$1\frac{2}{7}\textup{ yards}$

$1\frac{5}{7}\textup{ yards}$

$1\frac{3}{7}\textup{ yards}$

$1\frac{1}{7}\textup{ yards}$

Correct answer:

$1\frac{1}{7}\textup{ yards}$

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 yards, $\frac{1}{7}$ , divided by hours, $\frac{1}{8}$ :

$\frac{\ \frac{1}{7}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

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

$\frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\frac{1}{7}\times\frac{8}{1}=\frac{8}{7}=1\frac{1}{7}$

The landscaper can mow $1\frac{1}{7}$ yards per hour.

Report an Error

View Tutors

Rainier
Certified Tutor

Norfolk State University, Bachelors, Physics.

View Tutors

Marlene
Certified Tutor

Herbert Lehman, Bachelors, Recreation Education. Long Island University-Brooklyn Campus, Masters, Special Education.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

All Common Core: 7th Grade Math Resources

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

Popular Subjects

Physics Tutors in Seattle, GRE Tutors in Miami, ACT Tutors in Philadelphia, ACT Tutors in Seattle, Computer Science Tutors in San Diego, Computer Science Tutors in Washington DC, Statistics Tutors in Miami, Chemistry Tutors in New York City, SAT Tutors in San Francisco-Bay Area, Math Tutors in Boston

Popular Courses & Classes

SSAT Courses & Classes in Houston, GRE Courses & Classes in Atlanta, LSAT Courses & Classes in Chicago, LSAT Courses & Classes in Seattle, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Philadelphia, SSAT Courses & Classes in New York City, ACT Courses & Classes in Los Angeles, SSAT Courses & Classes in San Diego, ACT Courses & Classes in San Diego

Popular Test Prep

MCAT Test Prep in Seattle, MCAT Test Prep in Denver, LSAT Test Prep in Washington DC, GRE Test Prep in Atlanta, ISEE Test Prep in Houston, SAT Test Prep in Denver, LSAT Test Prep in Houston, SAT Test Prep in Dallas Fort Worth, LSAT Test Prep in San Diego, SSAT 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: 7th Grade Math : Compute Unit Rates Associated with Ratios of Fractions: CCSS.Math.Content.7.RP.A.1

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #51 : Ratios & Proportional Relationships

Example Question #52 : Ratios & Proportional Relationships

Example Question #53 : Ratios & Proportional Relationships

Example Question #54 : Ratios & Proportional Relationships

Example Question #55 : Ratios & Proportional Relationships

Example Question #56 : Ratios & Proportional Relationships

Example Question #57 : Ratios & Proportional Relationships

Example Question #58 : Ratios & Proportional Relationships

Example Question #59 : Ratios & Proportional Relationships

Example Question #60 : 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: