Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : How to order fractions from least to greatest or from greatest to least

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 #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order the following fractions from least to greatest:

$\frac{4}{9}, \frac{1}{4}, \frac{7}{12}, \frac{5}{6}$

Possible Answers:

$\frac{5}{6}, \frac{7}{12}, \frac{4}{9}, \frac{1}{4}$

$\frac{5}{6}, \frac{7}{12}, \frac{1}{4}, \frac{4}{9}$

$\frac{4}{9}, \frac{7}{12}, \frac{1}{4}, \frac{5}{6}$

$\frac{1}{4}, \frac{4}{9}, \frac{7}{12}, \frac{5}{6}$

Correct answer:

$\frac{1}{4}, \frac{4}{9}, \frac{7}{12}, \frac{5}{6}$

Explanation:

In order to compare these fractions, they all need to have the same denominator. The least common denominator for this set of fractions is .

Now, convert these fractions so that their denominators are all .

$\frac{4}{9}=\frac{16}{36}$

$\frac{1}{4}=\frac{9}{36}$

$\frac{7}{12}=\frac{21}{36}$

$\frac{5}{6}=\frac{30}{36}$

Now, place the fractions in ascending order by looking at the numerators.

Report an Error

Example Question #2 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order the following fractions from least to greatest:

$\frac{3}{4},\frac{1}{2}, \frac{1}{8}, \frac{2}{5}, \frac{9}{10}$

Possible Answers:

$\frac{1}{2},\frac{1}{8}, \frac{2}{5}, \frac{3}{4}, \frac{9}{10}$

$\frac{1}{8}, \frac{2}{5}, \frac{1}{2}, \frac{3}{4}, \frac{9}{10}$

$\frac{2}{5},\frac{1}{8}, \frac{1}{2}, \frac{9}{10}, \frac{3}{4}$

$\frac{9}{10}, \frac{3}{4}, \frac{1}{8}, \frac{2}{5}, \frac{1}{2}$

$\frac{1}{8}, \frac{3}{4}, \frac{2}{5}, \frac{9}{10}, \frac{1}{2}$

Correct answer:

$\frac{1}{8}, \frac{2}{5}, \frac{1}{2}, \frac{3}{4}, \frac{9}{10}$

Explanation:

In order to compare these fractions, we need to rewrite them so they have a common denominator. The least common denominator of these fractions is , so starting from the left:

$\frac{3}{4}=\frac{30}{40}$

$\frac{1}{2}=\frac{20}{40}$

$\frac{1}{8}=\frac{5}{40}$

$\frac{2}{5}=\frac{16}{40}$

$\frac{9}{10}=\frac{36}{40}$

Thus, the correct order from least to greatest is:

$\frac{1}{8}, \frac{2}{5}, \frac{1}{2}, \frac{3}{4}, \frac{9}{10}$

Report an Error

Example Question #3 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order these fractions from least to greatest:

$\frac{7}{8}, \frac{1}{4}, \frac{5}{6}, \frac{5}{12}$

Possible Answers:

$\frac{5}{6}, \frac{1}{4}, \frac{7}{8}, \frac{5}{6}$

$\frac{5}{12}, \frac{1}{4}, \frac{7}{8}, \frac{5}{6}$

$\frac{7}{8}, \frac{5}{6}, \frac{5}{12}, \frac{1}{4}$

$\frac{1}{4}, \frac{5}{12}, \frac{5}{6}, \frac{7}{8}$

Correct answer:

$\frac{1}{4}, \frac{5}{12}, \frac{5}{6}, \frac{7}{8}$

Explanation:

To figure out the order of the fractions, they first all need to have the same denominator.

$\frac{7}{8}\rightarrow\frac{21}{24}$

$\frac{1}{4}\rightarrow\frac{6}{24}$

$\frac{5}{6}\rightarrow\frac{20}{24}$

$\frac{5}{12}\rightarrow\frac{10}{24}$

Now, order the fractions by looking at their numerators: $\frac{1}{4}, \frac{5}{12}, \frac{5}{6}, \frac{7}{8}$

Report an Error

Example Question #2 : Ordering Fractions

Order the following fractions from least to greatest:

$\frac{1}{2}, \frac{9}{10}, \frac{3}{4}, \frac{5}{7}$

Possible Answers:

$\frac{1}{2}, \frac{5}{7}, \frac{3}{4}, \frac{9}{10}$

$\frac{3}{4}, \frac{9}{10}, \frac{1}{2}, \frac{5}{7}$

$\frac{9}{10}, \frac{1}{2}, \frac{3}{4}, \frac{5}{7}$

$\frac{1}{2}, \frac{5}{7}, \frac{9}{10}, \frac{3}{4}$

Correct answer:

$\frac{1}{2}, \frac{5}{7}, \frac{3}{4}, \frac{9}{10}$

Explanation:

Convert the fractions so that they all share the same denominator.

$\frac{1}{2}\cdot \frac{70}{70}=\frac{70}{140}$

$\frac{3}{4}\cdot \frac{35}{35}=\frac{105}{140}$

$\frac{5}{7}\cdot \frac{20}{20}=\frac{100}{140}$

$\frac{9}{10}\cdot \frac{14}{14}=\frac{126}{140}$

Now, look at the numerators and order them from the least to the greatest:

$\frac{1}{2}, \frac{5}{7}, \frac{3}{4}, \frac{9}{10}$

Report an Error

Example Question #313 : Rational Numbers

Order the following fractions from least to greatest:

$\frac{1}{8}, \frac{9}{24}, \frac{3}{4}, \frac{5}{12}$

Possible Answers:

$\frac{9}{24}, \frac{1}{8}, \frac{5}{12}, \frac{3}{4}$

$\frac{9}{24}, \frac{5}{12}, \frac{1}{8}, \frac{3}{4}$

$\frac{1}{8}, \frac{9}{24}, \frac{5}{12}, \frac{3}{4}$

$\frac{3}{4}, \frac{5}{12}, \frac{9}{24}, \frac{1}{8}$

Correct answer:

$\frac{1}{8}, \frac{9}{24}, \frac{5}{12}, \frac{3}{4}$

Explanation:

Convert all the fractions so that they share the same denominator, then order the numerators from least to greatest.

$\frac{1}{8}\cdot \frac{3}{3}=\frac{3}{24}$

$\frac{9}{24}$ stays the same.

$\frac{3}{4}\cdot \frac{6}{6}=\frac{18}{24}$

$\frac{5}{12}\cdot \frac{2}{2}=\frac{10}{24}$

$\frac{1}{8}, \frac{9}{24}, \frac{5}{12}, \frac{3}{4}$ is the order of the fractions from least to greatest.

Report an Error

Example Question #6 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order the following fractions from least to greatest:

$\frac{1}{5}, \frac{5}{8}, \frac{3}{10}, \frac{1}{4}$

Possible Answers:

$\frac{1}{5}, \frac{5}{8}, \frac{3}{10}, \frac{1}{4}$

$\frac{1}{5}, \frac{1}{4}, \frac{3}{10}, \frac{5}{8}$

$\frac{1}{5}, \frac{3}{10}, \frac{1}{4}, \frac{5}{8}$

$\frac{5}{8}, \frac{1}{4}, \frac{3}{10}, \frac{1}{5}$

Correct answer:

$\frac{1}{5}, \frac{1}{4}, \frac{3}{10}, \frac{5}{8}$

Explanation:

Convert the fractions so they all share the same denominator. Then, compare the numerators to order from least to greatest.

$\frac{1}{5}\cdot \frac{8}{8}=\frac{8}{40}$

$\frac{5}{8}\cdot \frac{5}{5}=\frac{25}{40}$

$\frac{3}{10}\cdot \frac{4}{4}=\frac{12}{40}$

$\frac{1}{4}\cdot \frac{10}{10}=\frac{10}{40}$

$\frac{1}{5}, \frac{1}{4}, \frac{3}{10}, \frac{5}{8}$ is the order of the fractions from least to greatest.

Report an Error

Example Question #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order the following fractions from least to greatest:

$\frac{1}{4}, \frac{3}{4}, \frac{3}{20}, \frac{2}{5}$

Possible Answers:

$\frac{3}{20}, \frac{1}{4}, \frac{2}{5}, \frac{3}{4}$

$\frac{3}{4}, \frac{2}{5}, \frac{1}{4}, \frac{3}{20}$

$\frac{3}{20}, \frac{3}{4}, \frac{2}{5}, \frac{1}{4}$

$\frac{3}{20}, \frac{2}{5}, \frac{1}{4}, \frac{3}{4}$

Correct answer:

$\frac{3}{20}, \frac{1}{4}, \frac{2}{5}, \frac{3}{4}$

Explanation:

Convert the fractions so that they all share the same denominator. Then, order the fractions from least to greatest by comparing their numerators.

$\frac{1}{4}\cdot \frac{5}{5}=\frac{5}{20}$

$\frac{3}{20}$ stays the same.

$\frac{2}{5}\cdot \frac{4}{4}=\frac{8}{20}$

$\frac{3}{4}\cdot \frac{5}{5}=\frac{15}{20}$

$\frac{3}{20}, \frac{1}{4}, \frac{2}{5}, \frac{3}{4}$ is in order from least to greatest.

Report an Error

Example Question #372 : Number Concepts And Operations

Order the following fractions from least to greatest:

$\frac{3}{16}, \frac{11}{16}, \frac{1}{4}, \frac{11}{32}$

Possible Answers:

$\frac{3}{16}, \frac{1}{4}, \frac{11}{32}, \frac{11}{16}$

$\frac{11}{32}, \frac{1}{4}, \frac{3}{16}, \frac{11}{16}$

$\frac{11}{16}, \frac{11}{32}, \frac{1}{4}, \frac{3}{16}$

$\frac{1}{4}, \frac{3}{16}, \frac{11}{32}, \frac{11}{16}$

Correct answer:

$\frac{3}{16}, \frac{1}{4}, \frac{11}{32}, \frac{11}{16}$

Explanation:

Convert the fractions so that they all share the same denominators. Then, compare their numerators to put them in order from least to greatest.

$\frac{3}{16} \cdot \frac{2}{2}=\frac{6}{32}$

$\frac{1}{4}\cdot \frac{8}{8}=\frac{8}{32}$

$\frac{11}{32}$ stays the same.

$\frac{11}{16}\cdot \frac{2}{2}=\frac{22}{32}$

$\frac{3}{16}, \frac{1}{4}, \frac{11}{32}, \frac{11}{16}$ is in order from least to greatest.

Report an Error

Example Question #9 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order the following fractions from least to greatest:

$\frac{2}{9}, \frac{1}{3}, \frac{1}{18}, \frac{1}{6}$

Possible Answers:

$\frac{1}{3}, \frac{2}{9}, \frac{1}{6}, \frac{1}{18}$

$\frac{1}{3}, \frac{1}{6}, \frac{2}{9}, \frac{1}{18}$

$\frac{1}{6}, \frac{1}{18}, \frac{1}{3}, \frac{2}{9}$

$\frac{1}{18}, \frac{1}{6}, \frac{2}{9}, \frac{1}{3}$

Correct answer:

$\frac{1}{18}, \frac{1}{6}, \frac{2}{9}, \frac{1}{3}$

Explanation:

Convert the fractions so that they share the same denominator. Then, compare their numerators to put them in order from least to greatest.

$\frac{1}{18}\cdot \frac{2}{2}=\frac{2}{36}$

$\frac{1}{6}\cdot \frac{6}{6}=\frac{6}{36}$

$\frac{2}{9}\cdot \frac{4}{4}=\frac{8}{36}$

$\frac{1}{3}\cdot \frac{12}{12}=\frac{12}{36}$

$\frac{1}{18}, \frac{1}{6}, \frac{2}{9}, \frac{1}{3}$ is in order from least to greatest.

Report an Error

Example Question #10 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Order the following fractions from greatest to least:

$\frac{9}{10}, \frac{1}{5}, \frac{18}{25}, \frac{7}{20}$

Possible Answers:

$\frac{9}{10}, \frac{18}{25}, \frac{7}{20}, \frac{1}{5}$

$\frac{1}{5}, \frac{7}{20}, \frac{8}{25}, \frac{9}{10}$

$\frac{18}{25}, \frac{9}{10}, \frac{7}{20}, \frac{1}{5}$

$\frac{9}{10}, \frac{7}{20}, \frac{18}{25}, \frac{1}{5}$

Correct answer:

$\frac{9}{10}, \frac{18}{25}, \frac{7}{20}, \frac{1}{5}$

Explanation:

Convert the fractions so that they all share the same denominator. Then, compare their numerators to put them in order from greatest to least.

$\frac{9}{10}\cdot \frac{10}{10}=\frac{90}{100}$

$\frac{18}{25}\cdot \frac{4}{4}=\frac{72}{100}$

$\frac{7}{20}\cdot \frac{5}{5}=\frac{35}{100}$

$\frac{1}{5}\cdot \frac{20}{20}=\frac{20}{100}$

$\frac{9}{10}, \frac{18}{25}, \frac{7}{20}, \frac{1}{5}$ is in order from greatest to least.

Report an Error

View SSAT- Upper Level Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

View SSAT- Upper Level Tutors

Peter
Certified Tutor

Syracuse University, Bachelor in Arts, English. Global Learning Teaching, Certificate, Teaching English as a Second Language ...

View SSAT- Upper Level Tutors

Darron
Certified Tutor

Georgia State University, Bachelors, English Education . Liberty University, Masters, Education.

All SSAT Upper Level Math Resources

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

Popular Subjects

Biology Tutors in Houston, Chemistry Tutors in Phoenix, Calculus Tutors in Philadelphia, Math Tutors in Seattle, Reading Tutors in Denver, Statistics Tutors in Los Angeles, ACT Tutors in Phoenix, Calculus Tutors in Washington DC, SSAT Tutors in Chicago, English Tutors in Phoenix

Popular Courses & Classes

ISEE Courses & Classes in Atlanta, MCAT Courses & Classes in Chicago, Spanish Courses & Classes in Denver, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Miami, MCAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Atlanta, SAT Courses & Classes in Los Angeles

Popular Test Prep

SAT Test Prep in Denver, ISEE Test Prep in Miami, MCAT Test Prep in Seattle, ISEE Test Prep in Dallas Fort Worth, ACT Test Prep in Miami, SSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Philadelphia, SAT Test Prep in Miami, LSAT Test Prep in Atlanta, MCAT 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

SSAT Upper Level Math : How to order fractions from least to greatest or from greatest to least

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #2 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #3 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #2 : Ordering Fractions

Example Question #313 : Rational Numbers

Example Question #6 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #372 : Number Concepts And Operations

Example Question #9 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #10 : How To Order Fractions From Least To Greatest Or From Greatest To Least

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: