Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Percentage

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 : Percentage

We asked 1000 people their preferences of movie genres. 7.5% of those asked preferred horror movies, 35% preferred romantic films, 20% preferred dramas and 37.5% preferred comedies. How many people liked horror films?

Possible Answers:

750

37.5

7.5

Correct answer:

Explanation:

People who prefer horror films = 1000 people x 7.5% = 1000 x 0.075 = 75 people

Report an Error

Example Question #1 : Fractions And Percentage

There are 20 students in a class. 35 percent of the students in the class are boys. What fraction of the class is girls?

Possible Answers:

$\frac{20}{35}$

$\frac{35}{100}$

$\frac{7}{20}$

$\frac{20}{20}$

$\frac{13}{20}$

Correct answer:

$\frac{13}{20}$

Explanation:

There are 20 total students in the class. 35% of 20 is 7. There are 7 boys in the class.

20-7=13 girls in the class.

Report an Error

Example Question #3 : Percentage

Which of the following represents $64\%$ as a fraction?

Possible Answers:

$\frac{64}{1000}$

$\frac{100}{64}$

$\frac{16}{25}$

$\frac{32}{25}$

$\frac{6}{10}$

Correct answer:

$\frac{16}{25}$

Explanation:

To represent a percentage as a fraction, keep the percentage in the numerator and put 100 in the denominator.

Therefore:

$64\%$ $=\frac{64}{100}=\frac{32}{50}=\frac{16}{25}$

Report an Error

Example Question #4 : Percentage

Which of the following fractions is equivalent to $462 \%$

Possible Answers:

$4 \frac{18}{25}$

$4 \frac{31}{50}$

$3 \frac{18}{25}$

$3 \frac{4}{5}$

$5 \frac{2}{5}$

Correct answer:

$4 \frac{31}{50}$

Explanation:

To convert an integer percentage into an improper fraction, set the percentage as a fraction over 100 and simplify as far as you can. At that point, simply convert the improper fraction into a mixed fraction.

$462 \% = \frac{462}{100} = \frac{231}{50} = 4 \frac{31}{50}$

Report an Error

Example Question #5 : Percentage

A politician promises to spend up to $26.8 \%$ of his budget on improving roads. Which of the following is closest to the fraction of their budget the politician must devote to road improvement?

Possible Answers:

$\frac{67}{250}$

$\frac{45}{193}$

$\frac{123}{250}$

$\frac{12}{37}$

$\frac{77}{177}$

Correct answer:

$\frac{67}{250}$

Explanation:

To convert a decimal percentage into a fraction, first convert it to a decimal:

$26.8 \% = .268$

Now, set ths as a fraction with 1.0 as the denominator (expanding to as many significant digits as you need to line the fraction up):

$26.8 \% = \frac{.268}{1.000} = \frac{268 }{1000}$

Now just reduce your fraction!

$\frac{268}{1000} = \frac{134}{500} = \frac{67}{250}$

Report an Error

Example Question #2 : Percentage

Convert to a fraction: $(5x) \%$

Possible Answers:

$\frac{x}{20}$

$\frac{50x}{2}$

$\frac{5}{x}$

$\frac{20x}{5}$

$\frac{x}{5}$

Correct answer:

$\frac{x}{20}$

Explanation:

To convert a percentage to a fraction, divide the percentage by 100, then simplify. The presence of a variable does not significantly affect this process.

$(5x) \% = \frac{5x}{100} = \frac{1x}{20} = \frac{x}{20}$

Report an Error

Example Question #3 : Percentage

Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic.

What percentage of the trip did Luke spend inside his car?

Possible Answers:

50%

45%

75%

35%

15%

Correct answer:

50%

Explanation:

You take 15 + 20 = 35 minutes as total time spent in the car.

Then, you take 15 + 20 + 5 + 30 = 70 minutes as total trip time.

We take (35/70) x 100% = 50%

Report an Error

Example Question #1 : Percentage

There are 300 sandwiches at a company-wide picnic. If half of the sandwiches are tuna, and the provider mistakenly uses expired tuna in three-fifths of those sandwiches, what percentage of total sandwiches still remain edible?

Possible Answers:

$80\%$

$40\%$

$60\%$

$70\%$

$30\%$

Correct answer:

$70\%$

Explanation:

This multi-part question makes use of both fractions and percentages, as well as some tricky language if you are not paying close attention.

First off, determine what three-fifths of the 150 tuna sandwiches is:

$150 \cdot (\frac{3}{5}) = 90$

Now, refer back to the question, which asks how many TOTAL sandwiches (tuna and non-tuna) still remain edible. This is simple arithmetic.

300 - 90 = 210

Finally, find what percentage this equals:

$\frac{210}{300} = 0.7=70\%$

Report an Error

Example Question #1 : Percentage

Express the fraction $\frac{7}{25}$ as a percentage.

Possible Answers:

$30\%$

$28\%$

$7\%$

$25\%$

$2.8\%$

Correct answer:

$28\%$

Explanation:

Converting a fraction to a percentage can be done in two ways. The first way involves recalling that a percent is just a fraction of 100 (per cent). Therefore, the percent equivalent to $\frac{7}{25}$ is the numerator of the equivalent fraction whose denominator is 100. In order to convert $\frac{7}{25}$ to a fraction over 100, I need to multiply the numerator and denominator each by 4.

$\frac{7}{25}\cdot \frac{4}{4}=\frac{28}{100}$

Therefore, our answer is 28%.

The other approach is to convert the fraction to a decimal first by dividing 7 by 25.

$7\div25=0.28$

To convert a decimal to a percent, just shift the decimal point two places to the right.

$0.28=28\%$

With this method, our answer is again 28%.

Report an Error

Example Question #1 : Fractions And Percentage

Convert to a percentage: $\frac{3a}{2a^2}$

Possible Answers:

$300a^{2} \%$

$\frac{3^a}{2^a} \%$

$150a^{-1} \%$

$1.5^a \%$

$a^{1.5} \%$

Correct answer:

$150a^{-1} \%$

Explanation:

Despite the presence of a variable, the rule remains the same: To convert a fraction to a percentage, multiply the numerator by 100 and solve the fraction.

$\frac{3a}{2a^2} = (\frac{300a}{2a^2}) = 150a^{-1} \%$

Report an Error

View ACT Math Tutors

Alejandro
Certified Tutor

Kennesaw State University, Bachelor of Science, Computer Software Engineering.

View ACT Math Tutors

Tarvinder
Certified Tutor

University of Arkansas - Monticello, Bachelor of Science, Mathematics. Tulane University of Louisiana, Master of Science, Com...

View ACT Math Tutors

Joslyn
Certified Tutor

Fort Hays State University, Bachelor of Science, Biology, General.

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

LSAT Courses & Classes in Boston, LSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Boston, SAT Courses & Classes in San Diego, ISEE Courses & Classes in San Diego, SAT Courses & Classes in Houston, Spanish Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in New York City, ISEE Courses & Classes in Chicago

Popular Test Prep

MCAT Test Prep in Philadelphia, GRE Test Prep in San Diego, LSAT Test Prep in Phoenix, LSAT Test Prep in Denver, GMAT Test Prep in Washington DC, SAT Test Prep in Atlanta, ISEE Test Prep in New York City, SSAT Test Prep in Seattle, SSAT Test Prep in Denver, SAT Test Prep in Denver

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 : Percentage

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : Percentage

Example Question #1 : Fractions And Percentage

Example Question #3 : Percentage

Example Question #4 : Percentage

Example Question #5 : Percentage

Example Question #2 : Percentage

Example Question #3 : Percentage

Example Question #1 : Percentage

Example Question #1 : Percentage

Example Question #1 : Fractions And Percentage

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: