Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : How to divide complex 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 #41 : Complex Fractions

$\frac{\frac{2}{3}}{\frac{4}{5}}=?$ $\displaystyle \frac{\frac{2}{3}}{\frac{4}{5}}=?$

Possible Answers:

$\frac{8}{15}$ $\displaystyle \frac{8}{15}$

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$

$\frac{6}{5}$ $\displaystyle \frac{6}{5}$

Correct answer:

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

Explanation:

Keep in mind that the main fraction line just means "divide."

So then,

$\frac{\frac{2}{3}}{\frac{4}{5}}=\frac{2}{3}\div\frac{4}{5}$ $\displaystyle \frac{\frac{2}{3}}{\frac{4}{5}}=\frac{2}{3}\div\frac{4}{5}$

Now, divide this like any other fraction.

$\frac{2}{3}\div\frac{4}{5}=\frac{2}{3}\times\frac{5}{4}=\frac{10}{12}=\frac{5}{6}$ $\displaystyle \frac{2}{3}\div\frac{4}{5}=\frac{2}{3}\times\frac{5}{4}=\frac{10}{12}=\frac{5}{6}$

Report an Error

Example Question #42 : Complex Fractions

$\frac{\frac{4}{3}}{6}=?$ $\displaystyle \frac{\frac{4}{3}}{6}=?$

Possible Answers:

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

Correct answer:

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

Explanation:

Remember that the main line in the fraction means "divide."

Then,

$\frac{\frac{4}{3}}{6}=\frac{4}{3}\div6$ $\displaystyle \frac{\frac{4}{3}}{6}=\frac{4}{3}\div6$

Now, divide this like you would divide any other fraction.

$\frac{4}{3}\div6=\frac{4}{3}\times\frac{1}{6}=\frac{4}{18}=\frac{2}{9}$ $\displaystyle \frac{4}{3}\div6=\frac{4}{3}\times\frac{1}{6}=\frac{4}{18}=\frac{2}{9}$

Report an Error

Example Question #43 : Complex Fractions

$\frac{\frac{9}{10}}{\frac{5}{2}}=?$ $\displaystyle \frac{\frac{9}{10}}{\frac{5}{2}}=?$

Possible Answers:

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$

$\frac{11}{15}$ $\displaystyle \frac{11}{15}$

$\frac{9}{25}$ $\displaystyle \frac{9}{25}$

$\frac{25}{9}$ $\displaystyle \frac{25}{9}$

Correct answer:

$\frac{9}{25}$ $\displaystyle \frac{9}{25}$

Explanation:

Remember that the main line in the fraction means "divide."

Now,

$\frac{\frac{9}{10}}{\frac{5}{2}}=\frac{9}{10}\div\frac{5}{2}$ $\displaystyle \frac{\frac{9}{10}}{\frac{5}{2}}=\frac{9}{10}\div\frac{5}{2}$

Divide these two fractions.

$\frac{9}{10}\div\frac{5}{2}=\frac{9}{10}\times\frac{2}{5}=\frac{18}{50}=\frac{9}{25}$ $\displaystyle \frac{9}{10}\div\frac{5}{2}=\frac{9}{10}\times\frac{2}{5}=\frac{18}{50}=\frac{9}{25}$

Report an Error

Example Question #44 : Complex Fractions

$\frac{\frac{8}{9}}{\frac{1}{2}}=?$ $\displaystyle \frac{\frac{8}{9}}{\frac{1}{2}}=?$

Possible Answers:

$\frac{10}{9}$ $\displaystyle \frac{10}{9}$

$\frac{9}{16}$ $\displaystyle \frac{9}{16}$

$\frac{16}{9}$ $\displaystyle \frac{16}{9}$

$\frac{13}{9}$ $\displaystyle \frac{13}{9}$

Correct answer:

$\frac{16}{9}$ $\displaystyle \frac{16}{9}$

Explanation:

The main fraction line means "divide."

Rewrite the complex fraction:

$\frac{\frac{8}{9}}{\frac{1}{2}}=\frac{8}{9}\div\frac{1}{2}$ $\displaystyle \frac{\frac{8}{9}}{\frac{1}{2}}=\frac{8}{9}\div\frac{1}{2}$

Divide these fractions.

$\frac{8}{9}\div\frac{1}{2}=\frac{8}{9}\times\frac{2}{1}=\frac{16}{9}$ $\displaystyle \frac{8}{9}\div\frac{1}{2}=\frac{8}{9}\times\frac{2}{1}=\frac{16}{9}$

Report an Error

Example Question #45 : Complex Fractions

$\frac{\frac{12}{13}}{\frac{1}{4}}=?$ $\displaystyle \frac{\frac{12}{13}}{\frac{1}{4}}=?$

Possible Answers:

$\frac{37}{13}$ $\displaystyle \frac{37}{13}$

$\frac{12}{5}$ $\displaystyle \frac{12}{5}$

$\frac{13}{48}$ $\displaystyle \frac{13}{48}$

$\frac{48}{13}$ $\displaystyle \frac{48}{13}$

Correct answer:

$\frac{48}{13}$ $\displaystyle \frac{48}{13}$

Explanation:

The main fraction line means "divide."

Rewrite the complex fractions as thus:

$\frac{\frac{12}{13}}{\frac{1}{4}}=\frac{12}{13}\div\frac{1}{4}$ $\displaystyle \frac{\frac{12}{13}}{\frac{1}{4}}=\frac{12}{13}\div\frac{1}{4}$

Now, divide these two fractions.

$\frac{12}{13}\div\frac{1}{4}=\frac{12}{13}\times\frac{4}{1}=\frac{48}{13}$ $\displaystyle \frac{12}{13}\div\frac{1}{4}=\frac{12}{13}\times\frac{4}{1}=\frac{48}{13}$

Report an Error

Example Question #46 : Complex Fractions

$\frac{\frac{7}{8}}{\frac{5}{4}}=?$ $\displaystyle \frac{\frac{7}{8}}{\frac{5}{4}}=?$

Possible Answers:

$\frac{10}{7}$ $\displaystyle \frac{10}{7}$

$\frac{4}{7}$ $\displaystyle \frac{4}{7}$

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$

Correct answer:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

Explanation:

The main fraction line means "divide." Rewrite the complex fraction as thus:

$\frac{\frac{7}{8}}{\frac{5}{4}}=\frac{7}{8}\div\frac{5}{4}$ $\displaystyle \frac{\frac{7}{8}}{\frac{5}{4}}=\frac{7}{8}\div\frac{5}{4}$

Divide these two fractions.

$\frac{7}{8}\div\frac{5}{4}=\frac{7}{8}\times\frac{4}{5}=\frac{28}{40}=\frac{7}{10}$ $\displaystyle \frac{7}{8}\div\frac{5}{4}=\frac{7}{8}\times\frac{4}{5}=\frac{28}{40}=\frac{7}{10}$

Report an Error

Example Question #47 : Complex Fractions

$\frac{\frac{12}{11}}{\frac{5}{2}}=?$ $\displaystyle \frac{\frac{12}{11}}{\frac{5}{2}}=?$

Possible Answers:

$\frac{24}{55}$ $\displaystyle \frac{24}{55}$

$\frac{55}{24}$ $\displaystyle \frac{55}{24}$

$\frac{11}{5}$ $\displaystyle \frac{11}{5}$

$\frac{5}{11}$ $\displaystyle \frac{5}{11}$

Correct answer:

$\frac{24}{55}$ $\displaystyle \frac{24}{55}$

Explanation:

The main line in a fraction means "divide." Rewrite the complex fraction as thus:

$\frac{\frac{12}{11}}{\frac{5}{2}}=\frac{12}{11}\div\frac{5}{2}$ $\displaystyle \frac{\frac{12}{11}}{\frac{5}{2}}=\frac{12}{11}\div\frac{5}{2}$

Now, divide the fractions.

$\frac{12}{11}\div\frac{5}{2}=\frac{12}{11}\times\frac{2}{5}=\frac{24}{55}$ $\displaystyle \frac{12}{11}\div\frac{5}{2}=\frac{12}{11}\times\frac{2}{5}=\frac{24}{55}$

Report an Error

Example Question #48 : Complex Fractions

$\frac{\frac{3}{2}}{\frac{5}{4}}=?$ $\displaystyle \frac{\frac{3}{2}}{\frac{5}{4}}=?$

Possible Answers:

$\frac{6}{5}$ $\displaystyle \frac{6}{5}$

$\frac{5}{9}$ $\displaystyle \frac{5}{9}$

$\frac{12}{7}$ $\displaystyle \frac{12}{7}$

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

Correct answer:

$\frac{6}{5}$ $\displaystyle \frac{6}{5}$

Explanation:

The main line in a fraction means "divide." Rewrite the complex fraction as thus:

$\frac{\frac{3}{2}}{\frac{5}{4}}=\frac{3}{2}\div\frac{5}{4}$ $\displaystyle \frac{\frac{3}{2}}{\frac{5}{4}}=\frac{3}{2}\div\frac{5}{4}$

Now, divide the fractions.

$\frac{3}{2}\div\frac{5}{4}=\frac{3}{2}\times\frac{4}{5}=\frac{12}{10}=\frac{6}{5}$ $\displaystyle \frac{3}{2}\div\frac{5}{4}=\frac{3}{2}\times\frac{4}{5}=\frac{12}{10}=\frac{6}{5}$

Report an Error

Example Question #9 : How To Divide Complex Fractions

$\frac{\frac{1}{8}}{\frac{7}{8}}=?$ $\displaystyle \frac{\frac{1}{8}}{\frac{7}{8}}=?$

Possible Answers:

$\displaystyle 7$

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

$\frac{9}{56}$ $\displaystyle \frac{9}{56}$

$\frac{1}{7}$ $\displaystyle \frac{1}{7}$

Correct answer:

$\frac{1}{7}$ $\displaystyle \frac{1}{7}$

Explanation:

The main line in a fraction means "divide." Rewrite the complex fraction as thus:

$\frac{\frac{1}{8}}{\frac{7}{8}}=\frac{1}{8}\div\frac{7}{8}$ $\displaystyle \frac{\frac{1}{8}}{\frac{7}{8}}=\frac{1}{8}\div\frac{7}{8}$

Now, divide these fractions.

$\frac{1}{8}\div\frac{7}{8}=\frac{1}{8}\times\frac{8}{7}=\frac{8}{56}=\frac{1}{7}$ $\displaystyle \frac{1}{8}\div\frac{7}{8}=\frac{1}{8}\times\frac{8}{7}=\frac{8}{56}=\frac{1}{7}$

Report an Error

Example Question #1 : How To Divide Complex Fractions

$\frac{\frac{3}{4}}{\frac{9}{10}}=?$ $\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=?$

Possible Answers:

$\frac{13}{11}$ $\displaystyle \frac{13}{11}$

$\frac{30}{13}$ $\displaystyle \frac{30}{13}$

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

$\frac{6}{5}$ $\displaystyle \frac{6}{5}$

Correct answer:

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

Explanation:

The main line in a fraction means "divide." Rewrite the complex fraction as thus:

$\frac{\frac{3}{4}}{\frac{9}{10}}=\frac{3}{4}\div\frac{9}{10}$ $\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{3}{4}\div\frac{9}{10}$

Now, divide these fractions.

$\frac{3}{4}\div\frac{9}{10}=\frac{3}{4}\times\frac{10}{9}=\frac{30}{36}=\frac{5}{6}$ $\displaystyle \frac{3}{4}\div\frac{9}{10}=\frac{3}{4}\times\frac{10}{9}=\frac{30}{36}=\frac{5}{6}$

Report an Error

View SSAT- Upper Level Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

View SSAT- Upper Level Tutors

Brooke
Certified Tutor

New York University, Bachelor in Arts, Drama and Dance Teacher Education. Georgia State University, Master of Arts, Communica...

View SSAT- Upper Level Tutors

Tynisha
Certified Tutor

Georgia State University, Bachelor in Arts, Political Science and Government. Thomas M Cooley Law School, Juris Doctor, Busin...

All SSAT Upper Level Math Resources

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

Popular Subjects

Algebra Tutors in Seattle, GRE Tutors in New York City, ISEE Tutors in Miami, Algebra Tutors in Houston, Statistics Tutors in Miami, MCAT Tutors in Chicago, Reading Tutors in Los Angeles, Computer Science Tutors in Chicago, MCAT Tutors in Washington DC, French Tutors in Dallas Fort Worth

Popular Courses & Classes

SSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Washington DC, SAT Courses & Classes in Denver, SSAT Courses & Classes in Boston, ISEE Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Phoenix, SSAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in New York City, MCAT Courses & Classes in San Diego, LSAT Courses & Classes in New York City

Popular Test Prep

GMAT Test Prep in New York City, ACT Test Prep in New York City, SSAT Test Prep in Phoenix, ISEE Test Prep in Dallas Fort Worth, ACT Test Prep in San Diego, SSAT Test Prep in Denver, MCAT Test Prep in Phoenix, MCAT Test Prep in Dallas Fort Worth, GRE Test Prep in Dallas Fort Worth, MCAT Test Prep in Denver

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 : How to divide complex fractions

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #41 : Complex Fractions

Example Question #42 : Complex Fractions

Example Question #43 : Complex Fractions

Example Question #44 : Complex Fractions

Example Question #45 : Complex Fractions

Example Question #46 : Complex Fractions

Example Question #47 : Complex Fractions

Example Question #48 : Complex Fractions

Example Question #9 : How To Divide Complex Fractions

Example Question #1 : How To Divide Complex 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: