Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Operations with Fractions

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #201 : Number Concepts And Operations

$\frac{35}{9}\div\frac{1}{4}=?$

Possible Answers:

$\frac{140}{9}$

$\frac{36}{13}$

$\frac{9}{140}$

Correct answer:

$\frac{140}{9}$

Explanation:

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{35}{9}\div\frac{1}{4}=\frac{35}{9}\times\frac{4}{1}=\frac{140}{9}$

Report an Error

Example Question #202 : Number Concepts And Operations

$\frac{15}{11}\div\frac{1}{5}=?$

Possible Answers:

$\frac{16}{55}$

$\frac{11}{75}$

$\frac{75}{11}$

Correct answer:

$\frac{75}{11}$

Explanation:

$\frac{15}{11}\div\frac{1}{5}=\frac{15}{11}\times\frac{5}{1}=\frac{75}{11}$

Report an Error

Example Question #203 : Number Concepts And Operations

Simplify the expression.

$\left ( {\frac{1}{2} + \frac{1}{4}}\right ) * \left ({\frac{1}{2} - \frac{1}{4}}\right )$

Possible Answers:

$\frac{5}{12}$

$\frac{3}{16}$

$\frac{1}{8}$

$\frac{5}{16}$

Correct answer:

$\frac{3}{16}$

Explanation:

$\left ( {\frac{1}{2} + \frac{1}{4}}\right ) * \left ({\frac{1}{2} - \frac{1}{4}}\right )$

Start with the terms in parentheses, using the order of operations. Find the least common denominator.

$\left ( {\frac{1* 2}{2* 2} + \frac{1}{4}}\right ) *\left ({\frac{1* 2}{2*2} - \frac{1}{4}}\right )$

$\left ( {\frac{2}{4} + \frac{1}{4}}\right ) * \left ({\frac{ 2}{4} - \frac{1}{4}}\right )$

Add the fractions in parentheses.

$\left ( {\frac{2+1}{4} } \right ) * \left ({\frac{2-1}{4} } \right )$

Multiply the fractions and simplify.

${\frac{3}{4} } *{\frac{1}{4} } = \frac{3 * 1}{4 * 4} = \frac{3}{16}$

Report an Error

Example Question #2 : How To Multiply Fractions

Simplify the expression $\frac{9}{10}\times \frac{2}{3}$ .

Possible Answers:

$\frac{11}{13}$

$\frac{3}{7}$

$\frac{9}{7}$

$\frac{18}{13}$

$\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

Beginning with $\frac{9}{10}\times \frac{2}{3}$ , we multiply across both numerators and denominators for both terms:

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

$=\frac{18}{30}$

Reducing the fraction to its simplest form by dividing by the Greatest Common Factor:

$\frac{18}{30}$

$=\frac{18\div 6}{30\div 6}$

$=\frac{3}{5}$

Report an Error

Example Question #151 : Rational Numbers

Simplify the expression $\frac{4}{3}\times(-\frac{3}{4})$ .

Possible Answers:

$\frac{9}{16}$

$\frac{16}{9}$

$-\frac{16}{9}$

Correct answer:

Explanation:

Multiplying across the numerators and denominators of both terms and simplifying:

$\frac{4}{3}\times(-\frac{3}{4})=-\frac{12}{12}=-1$

Report an Error

Example Question #3 : How To Multiply Fractions

Simplify the expression $\frac{12}{5}\times\frac{10}{20}$ .

Possible Answers:

$\frac{6}{5}$

$\frac{22}{25}$

$-\frac{5}{6}$

$-\frac{6}{5}$

$\frac{5}{6}$

Correct answer:

$\frac{6}{5}$

Explanation:

$\frac{12}{5}\times\frac{10}{20}$

First, multiply straight across. Multiply the numerators together and then multiply the denominators together.

$=\frac{12\times 10}{5\times 20}$

$=\frac{120}{100}$

From here, simplify the expression by factoring out the Greatest Common Factor.

In this case the Greatest Common Factor is 20.

$=\frac{120\div 20}{100\div 20}$

$=\frac{6}{5}$

Report an Error

Example Question #1 : How To Multiply Fractions

Steven runs a pizza shop. On Monday, he used $\frac{4}{5}$ of a bag of flour. On Tuesday, he used $\frac{1}{6}$ the amount he used on Monday. How much of a bag of flour did he use on Tuesday?

Possible Answers:

$\frac{2}{15}$

$\frac{1}{10}$

$\frac{4}{15}$

$\frac{4}{10}$

Correct answer:

$\frac{2}{15}$

Explanation:

To find how many bags of flour he used on Tuesday, multiply $\frac{4}{5}$ by $\frac{1}{6}$ .

To multiply fractions, multiply the numerators together, then multiply the denominators together.

$\frac{4}{5}\times \frac{1}{6}=\frac{4\times1}{5\times6}=\frac{4}{30}=\frac{2}{15}$

Report an Error

Example Question #5 : How To Multiply Fractions

In Mary's class, $\frac{1}{12}$ of the class owns a dog, and of those in the class that own a dog, $\frac{2}{7}$ also owns a cat. What fraction of the class owns both a dog and a cat?

Possible Answers:

$\frac{3}{19}$

$\frac{1}{10}$

$\frac{1}{47}$

$\frac{1}{42}$

Correct answer:

$\frac{1}{42}$

Explanation:

Multiply $\frac{1}{12}$ by $\frac{2}{7}$ to find out how much of the class have both a cat and a dog.

$\frac{1}{12}\times \frac{2}{7}=\frac{1\times2}{12\times7}=\frac{2}{84}=\frac{1}{42}$

Report an Error

Example Question #3 : How To Multiply Fractions

A certain recipe for a batch of chocolate cookies calls for $\frac{9}{10}$ of a cup of sugar to be used. If Mike only wants to make $\frac{3}{4}$ of a batch, how much of a cup of sugar should he use?

Possible Answers:

$\frac{27}{40}$

$\frac{9}{10}$

$\frac{6}{7}$

$\frac{1}{9}$

Correct answer:

$\frac{27}{40}$

Explanation:

Multiply $\frac{9}{10}$ by $\frac{3}{4}$ to find out how much sugar he needs to use.

$\frac{9}{10}\times \frac{3}{4}=\frac{9\times3}{10\times4}=\frac{27}{40}$

Report an Error

Example Question #6 : How To Multiply Fractions

A poll was conducted at a high school. The poll found that $\frac{2}{3}$ of the students at the school had siblings, and that $\frac{4}{5}$ of the students who had siblings also had a dog at home. What fraction of the students have siblings and a dog?

Possible Answers:

$\frac{9}{14}$

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{8}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

To find what fraction of the students have siblings and a dog, multiply $\frac{2}{3}$ by $\frac{4}{5}$ .

$\frac{2}{3}\times \frac{4}{5}=\frac{2\times4}{3\times5}=\frac{8}{15}$

Report an Error

View SSAT- Upper Level Tutors

Brandon
Certified Tutor

Flager College, Bachelor, Elementary Education .

View SSAT- Upper Level Tutors

Gregory
Certified Tutor

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

View SSAT- Upper Level Tutors

Marlene
Certified Tutor

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

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Seattle, Math Tutors in San Diego, Statistics Tutors in Atlanta, MCAT Tutors in Denver, Computer Science Tutors in Denver, Algebra Tutors in Boston, SAT Tutors in Atlanta, Statistics Tutors in Miami, Statistics Tutors in Dallas Fort Worth, GRE Tutors in Seattle

Popular Courses & Classes

LSAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Washington DC, MCAT Courses & Classes in Boston, ACT Courses & Classes in New York City, MCAT Courses & Classes in Philadelphia, SAT Courses & Classes in New York City, SSAT Courses & Classes in Chicago, SAT Courses & Classes in Los Angeles, GRE Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Seattle

Popular Test Prep

GRE Test Prep in New York City, SAT Test Prep in Chicago, MCAT Test Prep in Houston, LSAT Test Prep in Seattle, SSAT Test Prep in Houston, GRE Test Prep in Dallas Fort Worth, MCAT Test Prep in Philadelphia, LSAT Test Prep in Philadelphia, SSAT Test Prep in Chicago, MCAT 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

SSAT Upper Level Math : Operations with Fractions

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #201 : Number Concepts And Operations

Example Question #202 : Number Concepts And Operations

Example Question #203 : Number Concepts And Operations

Example Question #2 : How To Multiply Fractions

Example Question #151 : Rational Numbers

Example Question #3 : How To Multiply Fractions

Example Question #1 : How To Multiply Fractions

Example Question #5 : How To Multiply Fractions

Example Question #3 : How To Multiply Fractions

Example Question #6 : How To Multiply Fractions

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: