Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Simplifying 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 #1571 : Act Math

Simplify the following fraction:

$\frac{24}{256}$

Possible Answers:

$\frac{3}{64}$

$\frac{6}{64}$

$\frac{8}{32}$

$\frac{12}{128}$

$\frac{3}{32}$

Correct answer:

$\frac{3}{32}$

Explanation:

Find the largest number that divides into both and 256

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

$\frac{256}{8}=32$

$\frac{24}{256}=\frac{3}{32}$

Report an Error

Example Question #1 : Simplifying Fractions

Simplify the following fraction until the numerator and denominator share no factors.

$\frac{616}{210}$

Possible Answers:

$\frac{212}{245}$

$\frac{44}{15}$

$\frac{66}{47}$

$\frac{308}{105}$

Correct answer:

$\frac{44}{15}$

Explanation:

To simplify a fraction you need to find all the factors that the numerator and denominator have in common. You can see that both share 2 so when you divide both by 2 you get

$\frac{308}{105}$

this is close to the answer but it asks for no common factors, it is hard to see but both of these share 7 as a common factor. When you divide both by 7 you get

$\frac{44}{15}$

Report an Error

Example Question #2 : Simplifying Fractions

Which of the following is the least common denominator for the expression below?

$\frac{1}{d\times e^2\times f}-\frac{1}{d\times f^2}-\frac{1}{d^2\times f}$

Possible Answers:

$d\times f$

$d^2\times e\times f^2$

$d^2\times e^2\times f^2$

$d\times e\times f$

$d^5\times e^2\times f^4$

Correct answer:

$d^2\times e^2\times f^2$

Explanation:

Finding the least common denominator in rational expressions follows the same procedue as finding the least common denominator in fractions.

The least common denominator for this rational exresspion will use all terms with the highest exponents of each.

The first fraction has e^2 as the highest term, the second fraction has f^2 as the highest term, and the third fraction has d^2 as the highest term. Now we combine these and get the least common denominator to be:

$d^2 \times e^2 \times f^2$

Report an Error

Example Question #501 : Arithmetic

Simplify the following fraction:
$\frac{96}{108}$

Possible Answers:

$\frac{32}{36}$

$\frac{48}{54}$

$\frac{8}{9}$

$\frac{16}{18}$

$\textup{The fraction is already in simplest form}$

Correct answer:

$\frac{8}{9}$

Explanation:

To simplify a fraction, find the gcf (gcd) of the numerator and denominator and divide both by the gcf (gcd). the gcf of and 108 is so:

$\frac{96/12}{108/12}=\frac{8}{9}$

Report an Error

Example Question #4 : How To Simplify A Fraction

Simplify the following fraction:

$\small \frac{420}{5390}$

Possible Answers:

$\small \frac{44}{79}$

$\small \frac{42}{539}$

$\small \frac{21}{44}$

$\small \frac{84}{1078}$

$\small \frac{6}{77}$

Correct answer:

$\small \frac{6}{77}$

Explanation:

The first and easiest simplification for this fraction is to divide numerator and denominator by $\small 10$ . This gives you:

$\small \frac{42}{539}$

Next, notice that the two fractions do not both contain factors of $\small 3$ . This is because the denominator's digits, when added up come to $\small 17$ , which is not divisible by $\small 3$ . This means $\small 539$ is not divisible by $\small 3$ . Now, $\small 42$ is $\small 2*3*7$ . There is no shared $\small 2$ between these numbers. However, if you try, you will see that they are both divisible by $\small 7$ , which gives you:

$\small \frac{6}{77}$

This is simplest form.

Report an Error

Example Question #3 : How To Simplify A Fraction

Simplify the following fraction:

$\small \frac{315}{825}$

Possible Answers:

$\small \frac{105}{275}$

$\small \small \small \frac{21}{55}$

$\small \frac{3}{5}$

$\small \frac{7}{11}$

$\small \small \frac{63}{165}$

Correct answer:

$\small \small \small \frac{21}{55}$

Explanation:

First, begin by noticing that both numerator and denominator contain a $\small 5$ . Dividing this out gives you:

$\small \small \frac{63}{165}$

Now, $\small 1+6+5=12$ and $\small 6+3=9$ . Since each of these are true, we know that both numerator and denominator contain a $\small 3$ . Dividing this out, you get:

$\small \small \small \frac{21}{55}$

This is the simplest possible form of the fraction.

Report an Error

Example Question #5 : How To Simplify A Fraction

Maria owns an art studio and spent $\$1850$ in supplies. She sells her paintings for $\$150$ each. How many paintings does Maria need to sell until she makes a profit?

Possible Answers:

Correct answer:

Explanation:

Divide the total money spent by the cost of each painting.

$\frac{\$1850}{\$150}=12.33333$

Therefore, to make a profit, she needs to sell more than this amount. Since she can't sell a portion of a painting, the answer has to be the next nearest whole number ().

Report an Error

View ACT Math Tutors

Alvin
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Computer Science.

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.

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, SAT Courses & Classes in San Diego, ISEE Courses & Classes in Los Angeles, Spanish Courses & Classes in Denver, Spanish Courses & Classes in Boston, LSAT Courses & Classes in Atlanta, ACT Courses & Classes in Los Angeles, ISEE Courses & Classes in Denver, SAT Courses & Classes in Los Angeles, ACT Courses & Classes in Boston

Popular Test Prep

LSAT Test Prep in Boston, ISEE Test Prep in Boston, MCAT Test Prep in Miami, MCAT Test Prep in San Diego, ACT Test Prep in Seattle, MCAT Test Prep in Dallas Fort Worth, GRE Test Prep in Los Angeles, ISEE Test Prep in Los Angeles, ACT Test Prep in Los Angeles, LSAT Test Prep in Atlanta

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 : Simplifying Fractions

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1571 : Act Math

Example Question #1 : Simplifying Fractions

Example Question #2 : Simplifying Fractions

Example Question #501 : Arithmetic

Example Question #4 : How To Simplify A Fraction

Example Question #3 : How To Simplify A Fraction

Example Question #5 : How To Simplify A Fraction

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: