Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Mixed / Improper 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 #1 : Mixed / Improper Fractions

Which of the following is one more than $\frac{34}{7}$ ?

Possible Answers:

$5\frac{2}{7}$

$5\frac{6}{7}$

$6\frac{1}{7}$

$5\frac{4}{7}$

Correct answer:

$5\frac{6}{7}$

Explanation:

Rewrite $\frac{34}{7}$ as follows:

$34 \div 7 = 4 \textup{ R }6$ , so $\frac{34}{7} = 4\frac{6}{7}$ .

Add one: $4\frac{6}{7} + 1 = 5\frac{6}{7}$

Report an Error

Example Question #212 : Fractions

Which of the following is three times $\frac{15}{8}$ ?

Possible Answers:

$4\frac{1}{2}$

$5\frac{1}{4}$

$5 \frac{ 5}{8}$

$4\frac{7}{8}$

Correct answer:

$5 \frac{ 5}{8}$

Explanation:

$3 \times \frac{15}{8} = \frac{3}{1} \times \frac{15}{8} = \frac{45}{8}$

Since $45 \div 8 = 5 \textup{ R }5$ ,

$\frac{45}{8} = 5 \frac{ 5}{8}$

Report an Error

Example Question #213 : Fractions

Which of the following is 80% of $\frac{55}{3}$ ?

Possible Answers:

$14 \frac{2}{3}$

$13\frac{1}{3}$

$12\frac{2}{3}$

Correct answer:

$14 \frac{2}{3}$

Explanation:

80% of a number is equal to $\frac{4}{5}$ multiplied by that number, so 80% of $\frac{55}{3}$ is

$\frac{4}{5} \times \frac{55}{3} = \frac{4}{1} \times \frac{11}{3} = \frac{44}{3}$

Since $44 \div 3 = 14 \textup{ R }2$ ,

$\frac{44}{3} = 14 \frac{2}{3}$ .

Report an Error

Example Question #4 : How To Find Out A Mixed Fraction From An Improper Fraction

Which of the following is $\frac{32}{9}$ increased by 25%?

Possible Answers:

$5 \frac{5}{9}$

The correct answer is not among the other responses.

$3\frac{1}{3}$

$4 \frac{4}{9}$

$6\frac{2}{3}$

Correct answer:

$4 \frac{4}{9}$

Explanation:

A number increased by 25% is 125%, or $\frac{5}{4}$ , multiplied by the number. $\frac{32}{9}$ increased by 25% is therefore

$\frac{5}{4} \times \frac{32}{9} = \frac{5}{1} \times \frac{8}{9} = \frac{40} {9}$

$40 \div 9 = 4 \textup{ R }4$ , so

$\frac{40} {9} = 4 \frac{4}{9}$

Report an Error

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

Decrease $\frac{88}{21}$ by 12.5%. What is the result?

Possible Answers:

$3\frac{2}{3}$

$2\frac{2}{3}$

$3\frac{1}{3}$

Correct answer:

$3\frac{2}{3}$

Explanation:

Decreasing a number by 12.5% is the same as taking 87.5% of a number, or multiplying it by

$\frac{87.5}{100} = \frac{87.5 \div 12.5 }{100\div 12.5} = \frac{7}{8}$ .

$\frac{7}{8} \times \frac{88}{21} = \frac{11}{3}$

$11 \div 3 = 3\textup{ R }2$ , so

$\frac{11}{3} = 3\frac{2}{3}$

Report an Error

Example Question #3 : Algebraic Fractions

$\frac{34}{5}$

Change to a mixed number

Possible Answers:

$4 \frac{6}{5}$

$34\frac{1}{5}$

$4 \frac{5}{6}$

$3\frac{4}{5}$

$6\frac{4}{5}$

Correct answer:

$6\frac{4}{5}$

Explanation:

To convert from a fraction to a mixed number we must find out how many times the denominator goes into the numerator using division and the remainder becomes the new fraction.

$\frac{34}{5} = 6\ r 4 \ so \6\frac{4}{5}$

Report an Error

Example Question #2 : Mixed / Improper Fractions

Write $\frac{91}{4}$ as a mixed fraction.

Possible Answers:

$22\frac{1}{2}$

$22\frac{3}{4}$

$20\frac{1}{4}$

$21\frac{1}{2}$

Correct answer:

$22\frac{3}{4}$

Explanation:

Divide the numerator by the denominator.

$91\div4=22 R 3$

Now, the whole number part will be . Write the remainder on top of the denominator to get the fraction.

$\frac{91}{4}=22\frac{3}{4}$

Report an Error

Example Question #3 : Mixed / Improper Fractions

If $5\frac{4}{7}$ is rewritten as an improper fraction, what will its numerator be?

Possible Answers:

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:

$5 \times 7 + 4 = 35 + 4 = 39$

Report an Error

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

Rewrite $5\frac{9}{12}$ as an improper fraction in lowest terms, and call the sum of its numerator and its denominator. Which of the following is a true statement?

Possible Answers:

$20 < N \le 25$

$25 < N \le 30$

$30 < N \le 35$

$15 < N \le 20$

$10 < N \le 15$

Correct answer:

$25 < N \le 30$

Explanation:

$\frac{9}{12}$ , in lowest terms, is $\frac{9}{12} = \frac{9 \div 3}{12\div 3} = \frac{3}{4}$ , so $5\frac{9}{12}$ is rewritten as $5\frac{3}{4}$ .

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,

$5\frac{3}{4} = \frac{5 \times 4+ 3}{4} = \frac{23}{4}$ ,

Add the numerator and the denominator: 23+4 = 27 .

The correct response is $25 < N \le 30$ .

Report an Error

Example Question #2 : Mixed / Improper Fractions

Rewrite $8\frac{16}{20}$ as an improper fraction in lowest terms. If we assign to the numerator of this fraction, which of the following will be a true statement?

Possible Answers:

$50 < N \le 60$

$70 < N \le 80$

$40 < N \le 50$

$60 < N \le 70$

$30 < N \le 40$

Correct answer:

$40 < N \le 50$

Explanation:

$\frac{16}{20}$ in lowest terms is $\frac{16 \div 4}{20 \div 4} = \frac{4}{5}$ , so first, rewrite $8\frac{16}{20}$ as $8\frac{4}{5}$ .

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:

$8 \times 5 + 4 = 40 + 4 = 44$

The correct response is $40 < N \le 50$ .

Report an Error

View SSAT- Upper Level Tutors

Laura Jeanne
Certified Tutor

Texas Tech University, Bachelor in Arts, Music Teacher Education. Asbury Theological Seminary, Master of Divinity, Music Teac...

View SSAT- Upper Level Tutors

Keith
Certified Tutor

Xavier University, Bachelor in Business Administration, Accounting. Ohio University-Main Campus, Masters in Education, Mathem...

View SSAT- Upper Level Tutors

Zander
Certified Tutor

Rowan-Cabarrus Community College, Associate in Arts, General Studies. North Carolina State University at Raleigh, Bachelor of...

All SSAT Upper Level Math Resources

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

Popular Subjects

English Tutors in Denver, ISEE Tutors in San Francisco-Bay Area, Reading Tutors in Dallas Fort Worth, Calculus Tutors in Phoenix, MCAT Tutors in Philadelphia, Math Tutors in San Francisco-Bay Area, GRE Tutors in San Francisco-Bay Area, Spanish Tutors in Dallas Fort Worth, ACT Tutors in Atlanta, Computer Science Tutors in Houston

Popular Courses & Classes

Spanish Courses & Classes in Denver, GRE Courses & Classes in Phoenix, LSAT Courses & Classes in Washington DC, Spanish Courses & Classes in Houston, Spanish Courses & Classes in Seattle, GRE Courses & Classes in Los Angeles, LSAT Courses & Classes in Chicago, MCAT Courses & Classes in Atlanta, SAT Courses & Classes in New York City, MCAT Courses & Classes in Boston

Popular Test Prep

SAT Test Prep in Seattle, SAT Test Prep in Dallas Fort Worth, ACT Test Prep in Miami, GMAT Test Prep in Miami, LSAT Test Prep in Chicago, GMAT Test Prep in San Diego, LSAT Test Prep in San Diego, GMAT Test Prep in Seattle, MCAT Test Prep in Boston, SSAT 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

SSAT Upper Level Math : Mixed / Improper Fractions

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : Mixed / Improper Fractions

Example Question #212 : Fractions

Example Question #213 : Fractions

Example Question #4 : How To Find Out A Mixed Fraction From An Improper Fraction

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

Example Question #3 : Algebraic Fractions

Example Question #2 : Mixed / Improper Fractions

Example Question #3 : Mixed / Improper Fractions

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

Example Question #2 : Mixed / Improper 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: