Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to find out a mixed fraction from an improper fraction

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 #11 : Mixed / Improper Fractions

Convert $\dpi{100} \small \frac{21}{4}$ to a mixed number.

Possible Answers:

$\dpi{100} \small \frac{4}{5}$

$\dpi{100} \small 4\frac{1}{4}$

$\dpi{100} \small 20\frac{1}{4}$

$\dpi{100} \small 5\frac{1}{2}$

$\dpi{100} \small 5\frac{1}{4}$

Correct answer:

$\dpi{100} \small 5\frac{1}{4}$

Explanation:

4 goes into 21 five times. 5 becomes your whole number. There is a remainder of 1 and your denominator remains the same, so your fraction is $\dpi{100} \small \frac{1}{4}$ .

$\dpi{100} \small 5\frac{1}{4}$

Report an Error

Example Question #1531 : Act Math

What is $\frac{23}{4}$ written as a mixed number?

Possible Answers:

$4\frac{1}{4}$

$5\frac{3}{4}$

$2\frac{1}{4}$

$5\frac{1}{2}$

Correct answer:

$5\frac{3}{4}$

Explanation:

goes into five times with a remainder of

The denominator does not change.

Report an Error

Example Question #1 : Mixed / Improper Fractions

Which of the following is the mixed fraction equivalent to $\frac{19}{3}$ ?

Possible Answers:

$6\frac{1}{3}$

$\frac{3}{19}$

$8\frac{2}{3}$

$\frac{13}{3}$

$6\frac{3}{5}$

Correct answer:

$6\frac{1}{3}$

Explanation:

To begin, notice that using your calculator, you can find:

$\frac{19}{3} = 6.33333...$

Now, the closest even multiple of that is less than is . Therefore, you know that your number is:

$\frac{19}{3}=\frac{18}{3}+\frac{1}{3}$

This is the same as:

$6+\frac{1}{3}$ , or simply, $6\frac{1}{3}$ . This is your mixed fraction.

Report an Error

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

Which of the following is equivalent to $\frac{82}{4}$ ?

Possible Answers:

$20\frac{3}{8}$

$20\frac{1}{2}$

$20\frac{1}{4}$

$15\frac{1}{2}$

$15\frac{3}{4}$

Correct answer:

$20\frac{1}{2}$

Explanation:

Although there are many ways to convert improper fractions into mixed fractions, the easiest way is to use your calculator to your advantage. Begin by dividing by . This gives you 20.5 . Therefore, you can eliminate all the options that have do not have for their first portion. Next, multiply 0.5 by the denominator (), and get . This means that you have and $\frac{2}{4}$ , or $\frac{1}{2}$ . Thus, your answer is $20\frac{1}{2}$ .

Report an Error

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

What does $\small \small \small \small \frac{32}{14}+\frac{6}{7}$ equal, expressed as a mixed number?

Possible Answers:

$3\tfrac{1}{7}$

$\small 2\tfrac{2}{7}$

$\small 1\tfrac{17}{21}$

$\small 1\tfrac{5}{14}$

$\small 1\tfrac{4}{7}$

Correct answer:

$3\tfrac{1}{7}$

Explanation:

Simplify the two fractions, then find a common denominator, then solve. $\small \small \frac{32}{14}+\frac{6}{7}=\frac{16}{7}+\frac{6}{7}=\frac{22}{7}=3\tfrac{1}{7}$

Report an Error

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

Convert the improper fraction $\frac{27}{6}$ to a mixed number. Reduce all fractions if possible.

Possible Answers:

$5\frac{1}{6}$

$4\frac{3}{6}$

$\frac{6}{27}$

$4\frac{1}{2}$

$1\frac{6}{21}$

Correct answer:

$4\frac{1}{2}$

Explanation:

To convert a mixed number into a fraction, first divide the denominator into the numerator and record the remainder:

$27/6 = 4 \:\textup{remainder} \: 3$ .

the result is the mixed number, with the remainder being put as the numerator over the old denominator:
$\frac{27}{6} = 4 \frac{3}{6} = 4 \frac{1}{2}$ when we reduce.

Report an Error

View ACT Math Tutors

Jonathan
Certified Tutor

University of Illinois at Chicago, Bachelor in Arts, Criminal Justice. Syracuse University, Masters in Business Administratio...

View ACT Math Tutors

Chase
Certified Tutor

University of Memphis, Bachelor in Arts, Psychology.

View ACT Math Tutors

Jennifer
Certified Tutor

Texas Woman's University, Bachelor of Education, Education. Houston Baptist University, Master of Arts, Psychology.

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

MCAT Courses & Classes in Miami, SAT Courses & Classes in Phoenix, LSAT Courses & Classes in Boston, ISEE Courses & Classes in Philadelphia, ACT Courses & Classes in New York City, Spanish Courses & Classes in San Diego, SAT Courses & Classes in Washington DC, ACT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Phoenix, MCAT Courses & Classes in Seattle

Popular Test Prep

MCAT Test Prep in Boston, GMAT Test Prep in Chicago, LSAT Test Prep in San Diego, GRE Test Prep in Houston, LSAT Test Prep in Miami, SAT Test Prep in Los Angeles, SAT Test Prep in New York City, SSAT Test Prep in Phoenix, ISEE Test Prep in Houston, ACT Test Prep in San Francisco-Bay Area

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 : How to find out a mixed fraction from an improper fraction

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #11 : Mixed / Improper Fractions

Example Question #1531 : Act Math

Example Question #1 : Mixed / Improper Fractions

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

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

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

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: