Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Lower Level Quantitative : Operations with fractions and whole numbers

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

Create An Account

All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #329 : Fractions

Olivia lives $\frac{6}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{6}{27}\text{ of a mile}$

$\frac{7}{27}\text{ of a mile}$

$\frac{6}{26}\text{ of a mile}$

$\frac{5}{26}\text{ of a mile}$

$\frac{7}{26}\text{ of a mile}$

Correct answer:

$\frac{6}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{6}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{1}{3}\times\frac{6}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

6 27

We make the area model by because those are the denominators of our fractions. We shade up and over , because those are the numerators of our fractions. Our answer is a fraction made up of the boxes that are shaded (the numerator) and the total tiles in the area model (the denominator).

$\frac{1}{3}\times\frac{6}{9}=\frac{6}{27}$

Report an Error

Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Holly lives $\frac{6}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{8}{27}\text{ of a mile}$

$\frac{12}{27}\text{ of a mile}$

$\frac{4}{26}\text{ of a mile}$

$\frac{12}{26}\text{ of a mile}$

$\frac{4}{27}\text{ of a mile}$

Correct answer:

$\frac{12}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{6}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{6}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

12 27

$\frac{2}{3}\times\frac{6}{9}=\frac{12}{27}$

Report an Error

Example Question #62 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Virginia lives $\frac{5}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{10}{27}\text{ of a mile}$

$\frac{7}{26}\text{ of a mile}$

$\frac{3}{26}\text{ of a mile}$

$\frac{7}{27}\text{ of a mile}$

$\frac{3}{27}\text{ of a mile}$

Correct answer:

$\frac{10}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{5}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{5}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

10 27

$\frac{2}{3}\times\frac{5}{9}=\frac{10}{27}$

Report an Error

Example Question #64 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Kenzie lives $\frac{5}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{7}{26}\text{ of a mile}$

$\frac{6}{27}\text{ of a mile}$

$\frac{6}{26}\text{ of a mile}$

$\frac{4}{26}\text{ of a mile}$

$\frac{5}{27}\text{ of a mile}$

Correct answer:

$\frac{5}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{5}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{1}{3}\times\frac{5}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

5 27

$\frac{1}{3}\times\frac{5}{9}=\frac{5}{27}$

Report an Error

Example Question #331 : Fractions

Elsie lives $\frac{4}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{4}{28}\text{ of a mile}$

$\frac{3}{27}\text{ of a mile}$

$\frac{3}{26}\text{ of a mile}$

$\frac{4}{27}\text{ of a mile}$

$\frac{5}{27}\text{ of a mile}$

Correct answer:

$\frac{4}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{4}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{1}{3}\times\frac{4}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

4 27

$\frac{1}{3}\times\frac{4}{9}=\frac{4}{27}$

Report an Error

Example Question #1182 : Common Core Math: Grade 5

Nina lives $\frac{4}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{8}{25}\text{ of a mile}$

$\frac{8}{27}\text{ of a mile}$

$\frac{6}{27}\text{ of a mile}$

$\frac{9}{26}\text{ of a mile}$

$\frac{9}{27}\text{ of a mile}$

Correct answer:

$\frac{8}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{4}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{4}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

8 27

$\frac{2}{3}\times\frac{4}{9}=\frac{8}{27}$

Report an Error

Example Question #331 : Fractions

Sandra lives $\frac{3}{9}$ of a mile away from her friend's house. She walked $\frac{2}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{6}{27}\textup{ of a mile}$

$\frac{6}{26}\textup{ of a mile}$

$\frac{1}{27}\textup{ of a mile}$

$\frac{5}{27}\textup{ of a mile}$

$\frac{5}{26}\textup{ of a mile}$

Correct answer:

$\frac{6}{27}\textup{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{2}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{3}{9}$ of a mile away from her so we can set up our multiplication problem.

$\frac{2}{3}\times\frac{3}{9}$

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

6 27

$\frac{2}{3}\times\frac{3}{9}=\frac{6}{27}$

Report an Error

Example Question #332 : Fractions

Jean lives $\frac{3}{9}$ of a mile away from her friend's house. She walked $\frac{1}{3}$ of the way there and then stopped to get ice cream from an ice cream truck driving by. How far did she travel before she stopped to get ice cream?

Possible Answers:

$\frac{4}{26}\text{ of a mile}$

$\frac{4}{27}\text{ of a mile}$

$\frac{5}{26}\text{ of a mile}$

$\frac{3}{26}\text{ of a mile}$

$\frac{3}{27}\text{ of a mile}$

Correct answer:

$\frac{3}{27}\text{ of a mile}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the way to her friends house she stopped.

We know that her friend lives $\frac{3}{9}$ of a mile away from her so we can set up our multiplication problem.

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

We can set up a tiled area model to help us solve the problem.

We use the denominators for the dimensions of our area model, and we use the numerators to fill parts of the area model.

3 27

$\frac{1}{3}\times\frac{3}{9}=\frac{3}{27}$

Report an Error

Example Question #1 : Adding Mixed Numbers

$4\frac{1}{5}+1\frac{1}{5}$

Possible Answers:

$5\frac{2}{5}$

$5\frac{3}{10}$

$5\frac{2}{10}$

$5\frac{1}{10}$

$5\frac{1}{5}$

Correct answer:

$5\frac{2}{5}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

4+1=5

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

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #2 : Adding Mixed Numbers

$2\frac{5}{10}+5\frac{3}{10}$

Possible Answers:

$7\frac{7}{10}$

$7\frac{3}6{}$

$7\frac{4}{5}$

$7\frac{3}{5}$

$7\frac{9}{10}$

Correct answer:

$7\frac{4}{5}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

2+5=7

$\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

$\frac{8}{10}$ can be reduced by dividing to both sides.

$\frac{8}{10}\div\frac{2}{2}=\frac{4}{5}$

Report an Error

View Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View Tutors

Robert
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, English. North Carolina Central University, Master of Arts, En...

All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Seattle, GMAT Tutors in Dallas Fort Worth, GMAT Tutors in Washington DC, GRE Tutors in Phoenix, Statistics Tutors in Miami, Chemistry Tutors in New York City, Biology Tutors in Seattle, Biology Tutors in Houston, SSAT Tutors in Dallas Fort Worth, Biology Tutors in San Diego

Popular Courses & Classes

SAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Denver, GMAT Courses & Classes in Atlanta, SAT Courses & Classes in Denver, ISEE Courses & Classes in Chicago, ACT Courses & Classes in Houston, GRE Courses & Classes in San Diego, SAT Courses & Classes in Chicago

Popular Test Prep

MCAT Test Prep in Philadelphia, SAT Test Prep in Miami, ISEE Test Prep in Los Angeles, SSAT Test Prep in Seattle, ACT Test Prep in Houston, ACT Test Prep in Philadelphia, GMAT Test Prep in Atlanta, GMAT Test Prep in Seattle, ACT Test Prep in Phoenix, ACT Test Prep in Dallas Fort Worth

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

ISEE Lower Level Quantitative : Operations with fractions and whole numbers

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #329 : Fractions

Example Question #61 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #62 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #64 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #331 : Fractions

Example Question #1182 : Common Core Math: Grade 5

Example Question #331 : Fractions

Example Question #332 : Fractions

Example Question #1 : Adding Mixed Numbers

Example Question #2 : Adding Mixed Numbers

All ISEE Lower Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: