We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Decimals with 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 : Decimals With Fractions

Simplify:

$\frac{0.9}{0.7}+\frac{1}{10}+\frac{0.2}{0.9}+2$

Possible Answers:

$2\frac{312}{510}$

$3\frac{383}{630}$

$2\frac{475}{510}$

$3\frac{411}{630}$

Correct answer:

$3\frac{383}{630}$

Explanation:

1. Convert all of your decimal fractions to normal fractions by multiplying each by $\frac{100}{100}$ :

$\frac{0.9}{0.7}\times \frac{100}{100}=\frac{90}{70}$

$\frac{0.2}{0.9}\times \frac{100}{100}=\frac{20}{90}$

2. Find the least common denominator for all of the fractions and use that denominator:

In this case it's 7 x 9 x 10 = 630

$\frac{90}{70}\times \frac{9}{9}=\frac{810}{630}$

$\frac{20}{90}\times \frac{7}{7}=\frac{140}{630}$

$\frac{2}{1}\times \frac{630}{630}=\frac{1260}{630}$

$\frac{1}{10}\times \frac{63}{63}=\frac{63}{630}$

3. Add together all of the fractions you now have:

$\frac{810}{630}+\frac{140}{630}+\frac{1260}{630}+\frac{63}{630}=\frac{2273}{630}$

4. Simplify this fraction into a mixed number:

$\frac{2273}{630}=3\frac{383}{630}$

Report an Error

Example Question #2 : Decimals With Fractions

Simplify:

$\frac{0.21}{0.75}\times \frac{0.1}{0.45}$

Possible Answers:

$\frac{25}{512}$

$\frac{14}{225}$

$\frac{17}{248}$

$\frac{11}{310}$

Correct answer:

$\frac{14}{225}$

Explanation:

1. Multiply the two fractions together in decimal form:

$\frac{0.21}{0.75}\times \frac{0.1}{0.45}= \frac{0.021}{0.3375}$

2. Multiply the new fraction by 10,000/10,000:

$\frac{0.021}{0.3375}\times \frac{10,000}{10,000}=\frac{210}{3375}$

3. Simplify this fraction using the greatest common factor:

In this case the GCF is 15:

$\frac{210}{3375}=\frac{14\times 15}{225\times 15}=\frac{14}{225}$

Report an Error

Example Question #1 : Decimals With Fractions

What is the fraction value of 0.833?

Possible Answers:

$\frac{11}{12}$

$\frac{7}{8}$

$\frac{8}{9}$

$\frac{5}{6}$

$\frac{3}{4}$

Correct answer:

$\frac{5}{6}$

Explanation:

$5\div6 = 0.833$

Report an Error

Example Question #2 : Decimals With Fractions

A '95 Chevy Silverado acheives maximum fuel efficiency on a level highway and ideal road conditions at 25 mpg. Driving in the city, the fuel efficiency decreases to about 15 mpg. What is the percent fuel efficiency the truck has in city driving conditions?

Possible Answers:

60%

80%

40%

50%

75%

Correct answer:

60%

Explanation:

Finding the % fuel efficiency for city driving starts with setting up a fraction with the maximum niles per gallon as your denominator and your actual mpg as your numerator:

$\frac{15mpg}{25mpg}$

This fraction can be simplified into a decimal:

$\frac{15mpg}{25mpg}=0.6$

Which, when multiplied by 100% will give you your % fuel efficiency:

0.6 x 100% = 60%

Report an Error

Example Question #3 : Decimals With Fractions

Wind energy is big business in countries like the Netherlands. If a wind turbine is designed to spin at a maximum rate of 250 rotations per minute (RPM) but due to large trees and other obstructions, the mill only spins at 185 RPM, what is the percent efficiency?

Possible Answers:

67%

78%

82%

92%

74%

Correct answer:

74%

Explanation:

$\frac{185}{250}=0.74$

0.74 x 100% = 74% Efficiency

Report an Error

Example Question #4 : Decimals With Fractions

What is the fraction value of the decimal 0.11?

Possible Answers:

$\frac{1}{11}$

$\frac{1}{9}$

$\frac{1}{8}$

$\frac{2}{11}$

$\frac{3}{20}$

Correct answer:

$\frac{1}{9}$

Explanation:

If we were to divide 1 by the decimal value we get:

$\frac{1}{0.11}\approx9$

From this we can determine that 1 is our numerator and 9 is our denominator, giving us:

$\frac{1}{9}$

Report an Error

Example Question #6 : Decimals With Fractions

There are 200 parking spaces at the local shopping mall and a decimal value of 0.85 (1.0 being 100% of spaces) of the spaces are occupied by parked cars. What is the simplified fraction value of the proportion of spaces that area still available?

Possible Answers:

$\frac{3}{20}$

$\frac{1}{9}$

$\frac{2}{7}$

$\frac{4}{15}$

$\frac{1}{4}$

Correct answer:

$\frac{3}{20}$

Explanation:

Since 0.85 (85%) of the spaces are occupied, we can conclude that 0.15 (15%) are vacant. We can calculate the number of available spaces by multipling the decimal by the total number of spaces:

$0.15\cdot200=30$

To get a fraction value, we put the number of vacant spaces as the numerator and the total number of spaces as the denominator and begin to simplify:

$\frac{30}{200}=\frac{3}{20}$

Report an Error

Example Question #5 : Decimals With Fractions

What is the decimal value for $\frac{6}{20}$ ?

Possible Answers:

0.2

0.6

0.4

0.33

0.3

Correct answer:

0.3

Explanation:

$\frac{6}{20}=\frac{6\cdot 5}{20\cdot 5}=\frac{30}{100}$

$30\div100=0.3$

Report an Error

Example Question #6 : Decimals With Fractions

There is a high proportion of people who work in investment banking who are also involved with fraud. Industry specialists place the figure at a decimal value of 0.05. If a firm hires 200 stock brokers, how many of them are likely involved with fraudulent schemes?

Possible Answers:

Correct answer:

Explanation:

The decimal value 0.05 can be put into fraction form as such:

$\frac{1}{0.05}=20$

$0.05 = \frac{1}{20}$

Now that we know the fraction proportion of fraudulent investors, we can determine how many of the 200 employed may be guilty of fraud:

$\frac{1}{20}\cdot200=\frac{200}{20}=10$

Report an Error

Example Question #6 : Decimals With Fractions

What is the decimal value of $\frac{42}{87}$ ?

Possible Answers:

0.48

1.08

0.85

0.52

0.63

Correct answer:

0.48

Explanation:

$42\div87=0.48$

Report an Error

View ACT Math Tutors

Evgenii
Certified Tutor

View ACT Math Tutors

Gavin
Certified Tutor

The University of Texas at San Antonio, Bachelor of Science, Civil Engineering.

View ACT Math Tutors

Ayan
Certified Tutor

Vellore Institute of Technology, Bachelor, Chemical Engineering. University of Calgary, Master's/Graduate, Chemical and Petro...

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 Atlanta, LSAT Courses & Classes in Seattle, GMAT Courses & Classes in Atlanta, ACT Courses & Classes in Miami, MCAT Courses & Classes in San Diego, LSAT Courses & Classes in Washington DC, ACT Courses & Classes in Atlanta, LSAT Courses & Classes in Philadelphia, SAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Los Angeles

Popular Test Prep

GMAT Test Prep in Atlanta, SSAT Test Prep in Houston, ACT Test Prep in Miami, SAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Dallas Fort Worth, LSAT Test Prep in Denver, SSAT Test Prep in Los Angeles, SSAT Test Prep in Chicago, ACT Test Prep in Philadelphia, ISEE Test Prep in Washington DC

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 : Decimals with Fractions

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : Decimals With Fractions

Example Question #2 : Decimals With Fractions

Example Question #1 : Decimals With Fractions

Example Question #2 : Decimals With Fractions

Example Question #3 : Decimals With Fractions

Example Question #4 : Decimals With Fractions

Example Question #6 : Decimals With Fractions

Example Question #5 : Decimals With Fractions

Example Question #6 : Decimals With Fractions

Example Question #6 : Decimals With Fractions

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: