Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : How to divide fractions

Study concepts, example questions & explanations for ISEE Middle Level Math

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #316 : Concepts

Simplify:

$\frac{ 2 \frac{1}{5}}{7 \frac{1}{3}}$

Possible Answers:

$\frac{4}{15}$

$\frac{1}{30}$

$3\frac{1}{3}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

Rewrite as a division, then solve:

$\frac{ 2 \frac{1}{5}}{7 \frac{1}{3}}$

$= 2 \frac{1}{5} \div 7 \frac{1}{3}$

$= \frac{1+ 2 \times 5}{5} \div \frac{1+ 7 \times 3}{3}$

$= \frac{11}{5} \div \frac{22}{3}$

$= \frac{11}{5} \times \frac{3}{22}$

$= \frac{1}{5} \times \frac{3}{2} = \frac{1 \times 3}{5 \times 2} = \frac{3}{10}$

Report an Error

Example Question #526 : Numbers And Operations

Evaluate:

$\sqrt{3}\div \frac{3}{4}$

Possible Answers:

$4\sqrt{3}$

$\sqrt{3}$

$\frac{3\sqrt{3}}{4}$

$\frac{4}{3}$

$\frac{4\sqrt{3}}{3}$

Correct answer:

$\frac{4\sqrt{3}}{3}$

Explanation:

To divide any number by a fraction, we can multiply that number by the reciprocal of the fraction. That means:

$\frac{a}{b}\div \frac{c}{d} = \frac{a}{b}\times \frac{d}{c}=\frac{ad}{bc}$

So we have:

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

$=\frac{4\sqrt{3}}{3}$

Report an Error

Example Question #521 : Numbers And Operations

Simplify:

$\frac{2+\frac{5}{6}}{2-\frac{5}{6}}$

Possible Answers:

$\frac{7}{17}$

$\frac{5}{6}$

$\frac{17}{6}$

$\frac{17}{7}$

Correct answer:

$\frac{17}{7}$

Explanation:

Multiply each term by 6:

$\frac{2+\frac{5}{6}}{2-\frac{5}{6}} = \frac{12+5}{12-5}$

$=\frac{17}{7}$

Report an Error

Example Question #528 : Numbers And Operations

Evaluate:

$8\frac{1}{3}\div \frac{1}{6}$

Possible Answers:

$\frac{50}{6}$

$\frac{50}{3}$

Correct answer:

Explanation:

A mixed number represents the sum of an integer and a fraction. In order to evaluate this problem first we need to change the mixed number ( $8\frac{1}{3}$ ) to an improper fraction. Improper fractions are fractions whose numerator is greater than the denominator. So we can write:

$8\frac{1}{3}=\frac{8\times 3+1}{3}=\frac{25}{3}$

Now we should evaluate $\frac{25}{3}\div \frac{1}{6}$ and we have:

$\frac{25}{3}\div \frac{1}{6}=\frac{25}{3}\times \frac{6}{1}=50$

Report an Error

Example Question #529 : Numbers And Operations

Simplify:

$\frac{\frac{4}{x}}{(\frac{1}{x}-4x)}$

Possible Answers:

$\frac{1}{(1-x^2)}$

$\frac{1}{(1-4x^2)}$

$\frac{4}{(1-4x^2)}$

$\frac{1}{(1+4x^2)}$

$\frac{4}{(1+4x^2)}$

Correct answer:

$\frac{4}{(1-4x^2)}$

Explanation:

We can first find a common denominator for the expression in the numerator, which is . This gives us:

$\frac{\frac{4}{x}}{\left(\frac{1}{x}-\frac{4x^2}{x}\right)}=\frac{\frac{4}{x}}{\left(\frac{1-4x^2}{x}\right)}$

$=\frac{4}{x}\times \left(\frac{x}{1-4x^2}\right)$

$=\frac{4}{(1-4x^2)}$

Report an Error

Example Question #31 : Fractions

Which of the following is the reciprocal of $-1 \frac {4}{5}$ ?

Possible Answers:

$\frac {5}{9}$

$1 \frac {4}{5}$

$-\frac {5}{9}$

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

Correct answer:

$-\frac {5}{9}$

Explanation:

First, rewrite this as an improper fraction:

$-1 \frac {4}{5} =-\frac {5 \times 1+ 4}{5}= -\frac {9}{5}$

The reciprocal of an improper fraction can be found by switching its numerator and denominator, retaining the negative sign, so the reciprocal is $-\frac {5}{9}$ .

Report an Error

Example Question #32 : Fractions

Which of the following is the reciprocal of 2.8?

Possible Answers:

$\frac{2}{7}$

$2 \frac{4}{5}$

$\frac{5}{14}$

$-2 \frac{4}{5}$

Correct answer:

$\frac{5}{14}$

Explanation:

First, rewrite this as an improper fraction:

$2.8 = \frac{28}{10} = \frac{28\div 2}{10\div 2} = \frac{14}{5}$

The reciprocal of an improper fraction can be found by switching its numerator and denominator, so the reciprocal is $\frac{5}{14}$ .

Report an Error

Example Question #33 : Fractions

Solve:

$\frac{3}{7}\div \frac{1}{5}$

Possible Answers:

$\frac{1}{2}$

$\frac{3}{35}$

$\frac{3}{2}$

$\frac{15}{7}$

Correct answer:

$\frac{15}{7}$

Explanation:

$\frac{3}{7}\div \frac{1}{5}=\frac{3}{7}\times \frac{5}{1}=\frac{15}{7}$

Report an Error

Example Question #34 : Fractions

Which of the following is the reciprocal of 31.25?

Possible Answers:

0.036

0.032

0.024

0.028

Correct answer:

0.032

Explanation:

Rewrite 31.25 as a fraction:

$31.25 = \frac{3,125}{100} = \frac{3,125\div 25}{100\div 25} = \frac{125}{4}$

Exchange the positions of the numerator and the denominator to get $\frac{4}{125}$ . Now divide 4 by 125:

$\frac{4}{125} = 4 \div 125 = 0.032$

Report an Error

Example Question #35 : Fractions

Solve:

$\frac{9}{10}\div \frac{3}{5}=$

Possible Answers:

$\frac{5}{6}$

$\frac{3}{2}$

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

$\frac{2}{3}$

Correct answer:

$\frac{3}{2}$

Explanation:

$\small \frac{9}{10}\div \frac{3}{5}=\frac{9}{10}\times\frac{5}{3}=\frac{45}{30}=\frac{3}{2}$

Report an Error

View Tutors

Monique
Certified Tutor

California State University-Dominguez Hills, Bachelor of Science, Political Science and Government. California State Universi...

View Tutors

Evgenii
Certified Tutor

View Tutors

Danielle
Certified Tutor

Northwestern University, Bachelors, Journalism. Tulane University of Louisiana, Master of Science, Finance.

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ISEE Tutors in Washington DC, Reading Tutors in Houston, Algebra Tutors in Chicago, LSAT Tutors in Atlanta, Spanish Tutors in Atlanta, French Tutors in Washington DC, Spanish Tutors in Seattle, GMAT Tutors in Washington DC, SSAT Tutors in San Diego, Physics Tutors in Miami

Popular Courses & Classes

ACT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Washington DC, SAT Courses & Classes in Los Angeles, GRE Courses & Classes in Phoenix, MCAT Courses & Classes in Seattle, ACT Courses & Classes in Boston, ISEE Courses & Classes in Chicago, ACT Courses & Classes in Seattle, Spanish Courses & Classes in Los Angeles, GMAT Courses & Classes in Denver

Popular Test Prep

ACT Test Prep in Boston, LSAT Test Prep in Phoenix, MCAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Phoenix, GRE Test Prep in Los Angeles, GRE Test Prep in New York City, ACT Test Prep in Seattle, ACT Test Prep in Chicago, GMAT Test Prep in Denver, ISEE Test Prep in Philadelphia

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 Middle Level Math : How to divide fractions

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #316 : Concepts

Example Question #526 : Numbers And Operations

Example Question #521 : Numbers And Operations

Example Question #528 : Numbers And Operations

Example Question #529 : Numbers And Operations

Example Question #31 : Fractions

Example Question #32 : Fractions

Example Question #33 : Fractions

Example Question #34 : Fractions

Example Question #35 : Fractions

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: