We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : How to find a solution to a compound fraction

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1691 : Psat Mathematics

Simplify:

$\frac{56}{1-\frac{1}{49}}$

Possible Answers:

$57 \frac{1}{6}$

$55\frac{1}{49}$

$54\frac{48}{49}$

$55\frac{1}{7}$

$54\frac{6}{7}$

Correct answer:

$57 \frac{1}{6}$

Explanation:

$\frac{56}{1-\frac{1}{49}}$

$= 56 \div \left ( 1-\frac{1}{49} \right )$

$= 56 \div \left (\frac{49}{49} -\frac{1}{49} \right )$

$= \frac{56 }{1}\div \frac{48}{49}$

$= \frac{56 }{1}\cdot \frac{49}{48}$

$= \frac{7}{1}\cdot \frac{49}{6}$

$= \frac{343}{6}$

$= 57 \frac{1}{6}$

Report an Error

Example Question #1 : How To Find A Solution To A Compound Fraction

Simplify:

$\frac{\frac{3}{4}-\frac{2}{5}}{2- \frac{9}{10}}$

Possible Answers:

$\frac{7}{22}$

$\frac{77}{200}$

$\frac{147}{200}$

$\frac{5}{72}$

$\frac{7}{38}$

Correct answer:

$\frac{7}{22}$

Explanation:

$\frac{\frac{3}{4}-\frac{2}{5}}{2- \frac{9}{10}}$

$= \left ( \frac{3}{4}-\frac{2}{5} \right ) \div \left ( 2- \frac{9}{10} \right )$

$= \left ( \frac{15}{20}-\frac{8}{20} \right ) \div \left ( \frac{20}{10}- \frac{9}{10} \right )$

$= \frac{7}{20} \div \frac{11}{10}$

$= \frac{7}{20} \cdot \frac{10}{11}$

$= \frac{7}{2} \cdot \frac{1}{11}$

$= \frac{7}{22}$

Report an Error

Example Question #3 : How To Find A Solution To A Compound Fraction

Simplify:

$\frac{1-\frac{1}{4}}{1-\frac{1}{8}}$

Possible Answers:

$\frac{21}{32}$

$\frac{6}{7}$

$\frac{8}{9}$

$\frac{1}{2}$

$\frac{7}{8}$

Correct answer:

$\frac{6}{7}$

Explanation:

$\frac{1-\frac{1}{4}}{1-\frac{1}{8}}$

$= \left (1 -\frac{1}{4} \right ) \div \left (1-\frac{1}{8} \right )$

$= \left (\frac{4}{4}-\frac{1}{4} \right ) \div \left (\frac{8}{8}-\frac{1}{8} \right )$

$= \frac{3}{4} \div \frac{7}{8}$

$= \frac{3}{4} \cdot \frac{8}{7}$

$= \frac{3}{1} \cdot \frac{2}{7}$

$= \frac{6}{7}$

Report an Error

Example Question #2 : How To Find A Solution To A Compound Fraction

Simplify:

$\frac{2-\frac{1}{4}}{1+\frac{1}{7}}$

Possible Answers:

$1 \frac{17}{32}$

None of the other responses gives the correct answer.

$1\frac{1}{28}$

$1\frac{27}{28}$

Correct answer:

$1 \frac{17}{32}$

Explanation:

$\frac{2-\frac{1}{4}}{1+\frac{1}{7}}$

$= \left ( 2-\frac{1}{4} \right ) \div \left ( 1+\frac{1}{7} \right )$

$= \left (\frac{8}{4}-\frac{1}{4} \right ) \div \left ( \frac{7}{7}+\frac{1}{7} \right )$

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

$= \frac{7}{4} \cdot \frac{7}{8}$

$= \frac{49}{32}$

$= 1 \frac{17}{32}$

Report an Error

Example Question #1691 : Psat Mathematics

Simplify:

$\frac{\frac{1}{3}+\frac{4}{5} }{\frac{2}{3}+\frac{4}{5} }$

Possible Answers:

$\frac{2}{9}$

$\frac{374}{225}$

$\frac{17} {22}$

$\frac{1}{2}$

$\frac{5}{8}$

Correct answer:

$\frac{17} {22}$

Explanation:

$\frac{\frac{1}{3}+\frac{4}{5} }{\frac{2}{3}+\frac{4}{5} }$

$=\left ( \frac{1}{3}+\frac{4}{5} \right ) \div\left ( \frac{2}{3}+\frac{4}{5} \right )$

$=\left ( \frac{5}{15}+\frac{12}{15} \right ) \div\left ( \frac{10}{15}+\frac{12}{15} \right )$

$= \frac{17}{15} \div \frac{22}{15}$

$= \frac{17}{15} \cdot \frac{15}{22}$

$= \frac{17}{1} \cdot \frac{1}{22}$

$= \frac{17} {22}$

Report an Error

Example Question #3 : How To Find A Solution To A Compound Fraction

Simplify:

$\frac{\frac{1}{2}-\frac{1}{10} }{\frac{1}{4}-\frac{1}{5} }$

Possible Answers:

$\frac{1}{50}$

$\frac{1}{2}$

The correct answer is not given among the other responses.

Correct answer:

The correct answer is not given among the other responses.

Explanation:

$\frac{\frac{1}{2}-\frac{1}{10} }{\frac{1}{4}-\frac{1}{5} }$

$= \left ( \frac{1}{2}-\frac{1}{10} \right )\div \left ( \frac{1}{4}-\frac{1}{5} \right )$

$= \left ( \frac{5}{10}-\frac{1}{10} \right )\div \left ( \frac{5}{20}-\frac{4}{20} \right )$

$= \frac{4}{10} \div \frac{1}{20}$

$= \frac{4}{10} \cdot \frac{20}{1}$

$= \frac{4}{1} \cdot \frac{2}{1}$

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

This answer is not among the given choices.

Report an Error

View PSAT Mathematics Tutors

Ayan
Certified Tutor

Vellore Institute of Technology, Bachelor, Chemical Engineering. University of Calgary, Master's/Graduate, Chemical and Petro...

View PSAT Mathematics Tutors

Omar
Certified Tutor

Arizona State University, Bachelors, Civil Engineering.

View PSAT Mathematics Tutors

Shakeel
Certified Tutor

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Phoenix, Chemistry Tutors in Dallas Fort Worth, Math Tutors in Los Angeles, GRE Tutors in Los Angeles, French Tutors in San Diego, SSAT Tutors in New York City, Physics Tutors in Boston, Spanish Tutors in San Francisco-Bay Area, Reading Tutors in Atlanta, Chemistry Tutors in Washington DC

Popular Courses & Classes

GRE Courses & Classes in Seattle, LSAT Courses & Classes in Miami, LSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Boston, GMAT Courses & Classes in Miami, GRE Courses & Classes in Washington DC, SSAT Courses & Classes in San Diego, GRE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Washington DC, SAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

GMAT Test Prep in New York City, LSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Chicago, ISEE Test Prep in Washington DC, ACT Test Prep in Washington DC, LSAT Test Prep in Seattle, ISEE Test Prep in Houston, SAT Test Prep in Atlanta, GRE 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

PSAT Math : How to find a solution to a compound fraction

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #1691 : Psat Mathematics

Example Question #1 : How To Find A Solution To A Compound Fraction

Example Question #3 : How To Find A Solution To A Compound Fraction

Example Question #2 : How To Find A Solution To A Compound Fraction

Example Question #1691 : Psat Mathematics

Example Question #3 : How To Find A Solution To A Compound Fraction

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: