We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Rational Numbers

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 #11 : Mixed / Improper Fractions

Rewrite $7\frac{3}{8}$ as an improper fraction in lowest terms. What will the sum of its numerator and its denominator be?

Possible Answers:

$\textup{None of the other responses are correct}$

Correct answer:

Explanation:

The numerator of the improper form of a mixed fraction is the original numerator added to the product of the integer and the original denominator. The new denominator is the same as the old one. Therefore,

$7\frac{3}{8} = \frac{7 \times 8 + 3}{8} = \frac{56+3}{8}= \frac{59}{8}$

Add the numerator and the denominator: 59+8 = 67

Report an Error

Example Question #221 : Rational Numbers

Change the following mixed number into an improper fraction in simplest form:

$6\frac{4}{7}$

Possible Answers:

$\frac{7}{48}$

$\frac{48}{7}$

$\frac{46}{7}$

$\frac{49}{8}$

Correct answer:

$\frac{46}{7}$

Explanation:

To change a mixed fraction into an improper fraction, keep the denominator the same.

To find the numerator, multiply the whole number part of the mixed fraction by the denominator, then add that value to the numerator.

$6\frac{4}{7}=\frac{6\times7+4}{7}=\frac{46}{7}$

Report an Error

Example Question #1 : How To Find Out An Improper Fraction From A Mixed Fraction

Change the following fraction from a mixed number into an improper fraction in simplest form:

$5\frac{7}{11}$

Possible Answers:

$\frac{62}{11}$

$\frac{69}{11}$

$\frac{55}{11}$

$\frac{64}{11}$

Correct answer:

$\frac{62}{11}$

Explanation:

To change a mixed number into an improper fraction, keep the denominator. Multiply the whole number part of the mixed number by the denominator and add your result to the given numerator to find the numerator of the improper fraction.

$5\frac{7}{11}=\frac{5\times11+7}{11}=\frac{62}{11}$

Report an Error

Example Question #2 : How To Find Out An Improper Fraction From A Mixed Fraction

Write $12\frac{1}{12}$ as an improper fraction.

Possible Answers:

$\frac{144}{12}$

$\frac{145}{12}$

$\frac{145}{144}$

$\frac{145}{2}$

Correct answer:

$\frac{145}{12}$

Explanation:

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$12\frac{1}{12}=\frac{12\times12+1}{12}=\frac{145}{12}$

Report an Error

Example Question #1 : How To Find Out An Improper Fraction From A Mixed Fraction

Write $7\frac{8}{9}$ as an improper fraction.

Possible Answers:

$\frac{56}{9}$

$\frac{71}{9}$

$\frac{64}{9}$

$\frac{82}{9}$

Correct answer:

$\frac{71}{9}$

Explanation:

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$7\frac{8}{9}=\frac{7\times9+8}{9}=\frac{71}{9}$

Report an Error

Example Question #221 : Rational Numbers

Write $10\frac{4}{7}$ as an improper fraction.

Possible Answers:

$\frac{17}{7}$

$\frac{79}{14}$

$\frac{74}{7}$

$\frac{7}{74}$

Correct answer:

$\frac{74}{7}$

Explanation:

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$10\frac{4}{7}=\frac{10\times7+4}{7}=\frac{74}{7}$

Report an Error

Example Question #2 : How To Find Out An Improper Fraction From A Mixed Fraction

Write $10\frac{3}{8}$ as an improper fraction.

Possible Answers:

$\frac{21}{8}$

$\frac{8}{83}$

$\frac{38}{8}$

$\frac{83}{8}$

Correct answer:

$\frac{83}{8}$

Explanation:

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$10\frac{3}{8}=\frac{10\times8+3}{8}=\frac{83}{8}$

Report an Error

Example Question #222 : Rational Numbers

Express $3\frac{4}{7}$ as an improper fraction.

Possible Answers:

$\frac{25}{7}$

$\frac{7}{7}$

$\frac{7}{25}$

$\frac{12}{7}$

Correct answer:

$\frac{25}{7}$

Explanation:

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$3\frac{4}{7}=\frac{3\times7+4}{7}=\frac{25}{7}$

Report an Error

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

Simplify:

$\frac{1+\frac{1}{x}}{3+\frac{3}{x}}$

Possible Answers:

$\frac{1}{3}$

$\frac{X+1}{X+3}$

Correct answer:

$\frac{1}{3}$

Explanation:

Simplify into a complex fraction for the numerator and denominator.

For the numerator, we need to multiply $1\cdot \left(\frac{x}{x}\right)$ then the top should read $\frac{x+1}{x}$ .

For the bottom, we need to multiply $3 \cdot \left(\frac{x}{x} \right )$ in order to add the components. Thus the bottom should read $\frac{3x+3}{x}$ .

Dividing fractions is the same as multiplying the numerator by the reciprocal of the denominator.

Therefore, multiply top and bottom by $\frac{x}{3x+3}$ and then you should see that if you factor a on the bottom, the x+1 cancels along with the x's .

$\frac{x+1}{x}\cdot \frac{x}{3x+3}\rightarrow \frac{x+1}{x}\cdot \frac{x}{3(x+1)}=\frac{1}{3}$

The answer then should be $\frac{1}{3}$ .

Report an Error

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

Convert $6\frac{1}{3}$ into a fraction.

Possible Answers:

$\frac{19}{3}$

$\frac{64}{3}$

$\frac{17}{3}$

$\frac{10}{3}$

$\frac{18}{3}$

Correct answer:

$\frac{19}{3}$

Explanation:

The whole number (6) is multipled by the denominator (3) . Then we add the numerator (1) . This value is divided by the denominator. Final answer is $\frac{19}{3}$ .

Report an Error

View SSAT- Upper Level Tutors

Kris
Certified Tutor

University of Massachusetts-Dartmouth, Bachelor in Arts, English Composition. University of Massachusetts-Dartmouth, Masters ...

View SSAT- Upper Level Tutors

Carneta
Certified Tutor

Langston University, Bachelor in Arts, Theater Arts.

View SSAT- Upper Level Tutors

Denisha
Certified Tutor

Nova Southeastern University, Doctor of Medicine, Ayurvedic Medicine. Nova Southeastern University, Master in Public Health, ...

All SSAT Upper Level Math Resources

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

Popular Subjects

Statistics Tutors in San Francisco-Bay Area, Physics Tutors in Boston, SSAT Tutors in Seattle, Computer Science Tutors in San Francisco-Bay Area, Algebra Tutors in Atlanta, Biology Tutors in Houston, Calculus Tutors in Washington DC, LSAT Tutors in New York City, Physics Tutors in Atlanta, Math Tutors in Miami

Popular Courses & Classes

Spanish Courses & Classes in Boston, SAT Courses & Classes in Seattle, Spanish Courses & Classes in Chicago, SSAT Courses & Classes in San Diego, Spanish Courses & Classes in Los Angeles, SAT Courses & Classes in Boston, ISEE Courses & Classes in Phoenix, MCAT Courses & Classes in Boston, SAT Courses & Classes in Washington DC, GRE Courses & Classes in Denver

Popular Test Prep

ACT Test Prep in New York City, GMAT Test Prep in Seattle, SSAT Test Prep in Los Angeles, ISEE Test Prep in Boston, MCAT Test Prep in Philadelphia, ACT Test Prep in Los Angeles, ACT Test Prep in Miami, MCAT Test Prep in San Diego, SAT Test Prep in Seattle, SSAT Test Prep in Washington DC

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 : Rational Numbers

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #11 : Mixed / Improper Fractions

Example Question #221 : Rational Numbers

Example Question #1 : How To Find Out An Improper Fraction From A Mixed Fraction

Example Question #2 : How To Find Out An Improper Fraction From A Mixed Fraction

Example Question #1 : How To Find Out An Improper Fraction From A Mixed Fraction

Example Question #221 : Rational Numbers

Example Question #2 : How To Find Out An Improper Fraction From A Mixed Fraction

Example Question #222 : Rational Numbers

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

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

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: