Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : 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 #21 : Decimals With Fractions

Write the following fraction as a decimal rounded to three decimal places: $\frac{15}{16}$

Possible Answers:

1.253

0.938

0.333

0.667

0.777

Correct answer:

0.938

Explanation:

This is a problem best solved with a calculator, but we will also cover how to work it out by hand, as well as how to eliminate a few answers.

The given fraction is very close to $\frac{16}{16}$ , which means it should just be a little below . Eliminate any answers which are greater than . You can solve this problem more precisely by using your calculator; by dividing by , you end up with the answer 0.9375 . Rounding to three decimal places means rounding that answer up to 0.938 , the correct answer.

To work this out by hand, set the problem up as division problem with underneath the division sign:

Fraction1516

Report an Error

Example Question #2 : Decimals With Fractions

$\frac{1}{10}\times \frac{3}{5}\div \frac{6}{7}= {?}}$

Possible Answers:

0.07

0.04

0.01

0.10

0.05

Correct answer:

0.07

Explanation:

Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.

Report an Error

Example Question #1 : How To Find The Amount Of Rational Numbers Between Two Numbers

How many rational numbers are there between 0 and 5?

Possible Answers:

Infinitely many

Correct answer:

Infinitely many

Explanation:

Rational numbers are written in the form where ; therefore, we can write infinitely many combinations of rational numbers between 0 and 1, e.g. 1/2, 1/3, 1/4, 1/5, 1/6 . . . .

Report an Error

Example Question #131 : Fractions

A flight from Boston to Los Angeles lasts about 6 hours. The time zone difference is such that it is 3 hours later in Boston. If the flight leaves Boston at 8:00 AM, what will be the local time in Los Angeles when the plane arrives?

Possible Answers:

3:00 PM

5:00 PM

2:00 PM

1:00 PM

11:00 AM

Correct answer:

11:00 AM

Explanation:

The plane will land in Los Angeles at 2:00 PM Boston time (8:00 AM + 6 hours = 2:00 PM).

Going west, subtract the time zone difference. Going east, add the time zone difference.

So, 2:00 PM Boston time becomes 11:00 AM local time in Los Angeles (2:00 PM – 3 hours = 11:00 AM).

Report an Error

Example Question #2 : How To Find The Amount Of Rational Numbers Between Two Numbers

How many rational numbers are between 1 and 2?

Possible Answers:

None

Two: 1 and 2

Infinitely many

Just one

Correct answer:

Infinitely many

Explanation:

The definition of a rational number is an integer or a fraction. We can take the fractions 3/2, 4/3, 5/4, 6/5, 7/6, 8/7,...and continue in this way to realize there are infinitely many rational numbers.

Report an Error

Example Question #131 : Fractions

John's shadow is six feet long, and Mary's shadow is five feet long. If John is four feet tall, which of the following is closest to Mary's height in inches?

Possible Answers:

$40\ inches$

$48\ inches$

$60\ inches$

$12\ inches$

$33\ inches$

Correct answer:

$40\ inches$

Explanation:

First we set up a proportion. Mary's shadow (5 feet) to John's shadow (6 feet) is equal to Mary's height (x feet) to John's height (4 feet), i.e. 5 / 6 = x / 4.

Solve for x by first cross-mulitplying: 20 = 6x.

Divide both sides by 6: x = 20 / 6 feet

Multiply by 12 to find this height in inches: 20 * 12 / 6 = 20 * 2 = 40 inches

Report an Error

Example Question #132 : Fractions

When two resistors ( $R_{1}$ and $R_{2}$ ) are added together in a parallel circuit to create an equivalent single resistor, the equivalent resistor ( $R_{eq}$ ) has a resistance defined by the following equation:

$\frac{1}{R_{eq}}= \frac{1}{R_{1}}+\frac{1}{R_{2}}$

If $R_{1}=10$ and $R_{2}=20$ , what does $R_{eq}$ equal?

Possible Answers:

None of the other answers

$\frac{3}{20}$

$\frac{20}{3}$

Correct answer:

$\frac{20}{3}$

Explanation:

Plugging $R_{1}=10$ and R_2=20 into the equation gives:

$\frac{1}{R_{eq}}=\frac{1}{10}+\frac{1}{20}$

Create a common denominator by multiplying $\frac{1}{10}$ by in the numerator and denominator:

$\frac{1}{R_{eq}}=\frac{2}{20}+\frac{1}{20}$

$\frac{1}{R_{eq}}=\frac{3}{20}$

Finally:

$R_{eq} = \frac{20}{3}$

Report an Error

Example Question #3 : Compound Fractions

What does $\small \frac{\frac{2}{3}\times \frac{1}{4}}{\frac{2}{9}+\frac{1}{3}}$ equal?

Possible Answers:

$\frac{11}{17}$

$\frac{1}{2}$

$\frac{5}{54}$

$\frac{18}{35}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

Simplify the numerator first: $\small \frac{2}{3}\times \frac{1}{4}=\frac{2}{12}=\frac{1}{6}$ .

Then, simplify the denominator: $\frac{2}{9}+\frac{1}{3}=\frac{2}{9}+\frac{3}{9}=\frac{5}{9}$ .

Next, you have to do $\frac{1}{6}\div \frac{5}{9}$ , which is the same as $\small \small \frac{1}{6}\times \frac{9}{5}=\frac{9}{30}=\frac{3}{10}$ , when solved for and simplified.

Report an Error

Example Question #1 : Mixed / Improper Fractions

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

$4\frac{7}{9}$

Possible Answers:

$\frac{13}{7}$

$\frac{43}{9}$

$\frac{37}{7}$

$\frac{28}{9}$

$\frac{11}{9}$

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 #133 : Fractions

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

Possible Answers:

$\frac{76}{7}$

$\frac{76}{8}$

$\frac{355}{7}$

$\frac{360}{7}$

$\frac{502}{7}$

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

View ACT Math Tutors

Satweka
Certified Tutor

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

View ACT Math Tutors

Quang
Certified Tutor

Georgetown University, Bachelor of Science, Finance.

View ACT Math Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

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

ACT Courses & Classes in Phoenix, ISEE Courses & Classes in New York City, ACT Courses & Classes in Boston, Spanish Courses & Classes in Philadelphia, LSAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Phoenix, SAT Courses & Classes in Atlanta, ACT Courses & Classes in New York City, SAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Seattle

Popular Test Prep

ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in Seattle, MCAT Test Prep in San Diego, ACT Test Prep in Chicago, ISEE Test Prep in Atlanta, ACT Test Prep in Phoenix, MCAT Test Prep in Washington DC, GMAT Test Prep in Washington DC, SSAT Test Prep in Boston, SSAT 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 : Fractions

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #21 : Decimals With Fractions

Example Question #2 : Decimals With Fractions

Example Question #1 : How To Find The Amount Of Rational Numbers Between Two Numbers

Example Question #131 : Fractions

Example Question #2 : How To Find The Amount Of Rational Numbers Between Two Numbers

Example Question #131 : Fractions

Example Question #132 : Fractions

Example Question #3 : Compound Fractions

Example Question #1 : Mixed / Improper Fractions

Example Question #133 : Fractions

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: