Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Mixed / Improper Fractions

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Mixed / Improper Fractions

Turn the following from a mixed number to an improper fraction:

$4\frac{7}{9}$

Possible Answers:

$\frac{43}{9}$

$\frac{37}{7}$

$\frac{28}{9}$

$\frac{11}{9}$

$\frac{13}{7}$

Correct answer:

$\frac{43}{9}$

Explanation:

To turn a mixed number into an improper fraction you must recognize the following:

$4\frac{7}{9}=4+\frac{7}{9}$

now we need to add 4 and seven ninths, to do that you multiply by a good form of 1

$4+\frac{7}{9}=\frac{9}{9}\cdot4+\frac{7}{9}=\frac{36}{9}+\frac{7}{9}$

now with the common denominator you can add the fractions to get

$\frac{43}{9}$

Report an Error

Example Question #1522 : Act Math

Write $71\frac{5}{7}$ as an improper fraction.

Possible Answers:

$\frac{355}{7}$

$\frac{76}{8}$

$\frac{76}{7}$

$\frac{360}{7}$

$\frac{502}{7}$

Correct answer:

$\frac{502}{7}$

Explanation:

To find the improper fraction value, we must effectively add together 71 and ⁵/₇. To do this, we will give 71 a denominator of 7; therefore, we are transforming ⁷¹/₁ to ^x/₇. The shortest way to do this is to multiply by ⁷/₇ (which really is 1); therefore, 71 = 71 * (⁷/₇) = ⁴⁹⁷/₇.

Now add them: ^{(497 + 5)}/₇ = ⁵⁰²/₇

Report an Error

Example Question #1523 : Act Math

Which of the following improper fractions is equivalent to $14\frac{2}{5}$ ?

Possible Answers:

$\frac{70}{5}$

$\frac{72}{5}$

$\frac{24}{5}$

$\frac{84}{3}$

$\frac{16}{5}$

Correct answer:

$\frac{72}{5}$

Explanation:

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting . Next, you add this to the numerator of your fraction, giving you 70+2 , or . Finally, you place this over your original denominator, giving you:

$\frac{72}{5}$

Report an Error

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

Which of the following improper fractions is equivalent to $27\frac{4}{19}$ ?

Possible Answers:

$\frac{517}{19}$

$\frac{49}{19}$

$\frac{481}{19}$

$\frac{31}{19}$

$\frac{813}{17}$

Correct answer:

$\frac{517}{19}$

Explanation:

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting 513 . Next, you add this to the numerator of your fraction, giving you 513+4 , or 517 . Finally, you place this over your original denominator, giving you:

$\frac{517}{19}$

Report an Error

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

Convert $2\tfrac{2}{5}$ to an improper fraction.

Possible Answers:

$\frac{13}{5}$

$\frac{11}{5}$

$\frac{9}{5}$

$\frac{12}{5}$

$\frac{14}{5}$

Correct answer:

$\frac{12}{5}$

Explanation:

To determine the numerator of the improper fraction, multiply the denominator with the whole number. Then add this with the numerator. The denominator will remain the same.

$2\tfrac{2}{5} = \frac{(5\cdot 2) +2}{5} = \frac{12}{5}$

Report an Error

Example Question #5 : How To Find Out An Improper Fraction From A Mixed Fraction

Which of the following is equivalent to $\small 5\frac{7}{11}$ ?

Possible Answers:

$\small \frac{71}{11}$

$\small \frac{21}{3}$

$\small \frac{62}{11}$

$\small \frac{53}{11}$

$\small \frac{12}{11}$

Correct answer:

$\small \frac{62}{11}$

Explanation:

Remember that to convert mixed fractions, you can treat it like an addition. Thus

$\small 5\frac{7}{11} = 5 + \frac{7}{11}$

You then find the common denominator of the two which is $\small 11$ :

$\small 5 + \frac{7}{11} = \frac{55 + 7}{11} = \frac{62}{11}$

Report an Error

Example Question #7 : Mixed / Improper Fractions

Which of the following is equivalent to $\small 4 \frac{5}{6}$ ?

Possible Answers:

$\small \frac{29}{6}$

$\small \frac{11}{2}$

$\small \frac{25}{6}$

$\small \frac{11}{6}$

$\small \frac{23}{6}$

Correct answer:

$\small \frac{29}{6}$

Explanation:

Remember that to convert mixed fractions, you can treat it like an addition. Thus

$\small 4 \frac{5}{6} = 4 +\frac{5}{6}$

You then find the common denominator of the two which is $\small 6$ :

$\small \frac{24 + 5}{6} = \frac{29}{6}$

Report an Error

Example Question #8 : Mixed / Improper Fractions

Simplify:

$\small 4 \frac{2}{3} + 7\frac{1}{3}$

Possible Answers:

$\small 12$

$\small \frac{34}{3}$

$\small 10$

$\small \frac{13}{3}$

$\small \frac{14}{3}$

Correct answer:

$\small 12$

Explanation:

Remember that to convert mixed fractions, you can treat it like an addition. Thus

$\small 4 = \frac{2}{3} + 7\frac{1}{3} = 4 + \frac{2}{3} + 7 + \frac{1}{3}$

Now, using the common denominator of $\small 3$ , you know:

$\small 4 + \frac{2}{3} + 7 + \frac{1}{3} = \frac{12+2+21+1}{3} = \frac{36}{3} = 12$

Another way to do this is to notice that $\small \frac{2}{3} + \frac{1}{3} = 1$ . Then you just add these values to $\small 4$ and $\small 7$ .

Report an Error

Example Question #5 : How To Find Out An Improper Fraction From A Mixed Fraction

Which of the following is equivalent to $\small \frac{55}{7}$ ?

Possible Answers:

$\small 8\frac{1}{7}$

$\small 6\frac{4}{7}$

$\small \small 7\frac{6}{7}$

$\small \small \small 7\frac{3}{7}$

$\small 7\frac{1}{7}$

Correct answer:

$\small \small 7\frac{6}{7}$

Explanation:

Use your calculator to your advantage. You know that $\small \frac{55}{7}$ is $\small \small 7.85714285714286$ . This means that the mixed fraction equivalent must be of the form:

$\small 7\frac{x}{7}$

Now, you find the fractional portion by multiplying $\small 0.85714285714286$ by $\small 7$ , which when rounded gives you $\small 6$ . (The quickest way to get $\small 0.85714285714286$ in your calculator is to subtract $\small 7$ from $\small \small 7.85714285714286$ .) Thus, your answer is:

$\small \small 7\frac{6}{7}$

Report an Error

Example Question #6 : How To Find Out An Improper Fraction From A Mixed Fraction

Which of the following is equivalent to $\small \frac{71}{6}$ ?

Possible Answers:

$\small \small 11\frac{1}{2}$

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

$\small \small \small 11\frac{1}{6}$

$\small \small 12\frac{1}{3}$

$\small 11\frac{5}{6}$

Correct answer:

$\small 11\frac{5}{6}$

Explanation:

Use your calculator to your advantage. You know that $\small \frac{71}{6}$ is $\small 11.83333333333333$ . This means that the mixed fraction equivalent must be of the form:

$\small \small 11\frac{x}{6}$

Now, you find the fractional portion by multiplying $\small \small 0.83333333333333$ by $\small \small 6$ , which when rounded gives you $\small \small 5$ . (The quickest way to get $\small \small 0.83333333333333$ in your calculator is to subtract $\small \small 11$ from $\small 11.83333333333333$ .) Thus, your answer is:

$\small 11\frac{5}{6}$

Report an Error

View ACT Math Tutors

Anne
Certified Tutor

University of Maryland-Baltimore, Doctor of Science, Accounting.

View ACT Math Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View ACT Math Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

GRE Courses & Classes in New York City, ACT Courses & Classes in Philadelphia, SSAT Courses & Classes in Seattle, GMAT Courses & Classes in Denver, MCAT Courses & Classes in Houston, SAT Courses & Classes in Boston, GMAT Courses & Classes in Phoenix, SAT Courses & Classes in Atlanta, GMAT Courses & Classes in Los Angeles, ACT Courses & Classes in Miami

Popular Test Prep

ACT Test Prep in Seattle, GRE Test Prep in Chicago, SSAT Test Prep in Seattle, LSAT Test Prep in Philadelphia, ISEE Test Prep in Denver, ACT Test Prep in Philadelphia, ACT Test Prep in Los Angeles, SSAT Test Prep in Chicago, GMAT Test Prep in Los Angeles, SAT Test Prep in Phoenix

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

ACT Math : Mixed / Improper Fractions

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : Mixed / Improper Fractions

Example Question #1522 : Act Math

Example Question #1523 : Act Math

Example Question #1 : 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 #5 : How To Find Out An Improper Fraction From A Mixed Fraction

Example Question #7 : Mixed / Improper Fractions

Example Question #8 : Mixed / Improper Fractions

Example Question #5 : How To Find Out An Improper Fraction From A Mixed Fraction

Example Question #6 : How To Find Out An Improper Fraction From A Mixed Fraction

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: