GRE Math : Fractions

Study concepts, example questions & explanations for GRE Math

Create An Account

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1031 : Gre Quantitative Reasoning

A clothing store can only purchase socks in crates. Each crate has 200 socks and costs $2091.

Quantity A: The amount of socks that can be bought with $12651.

Quantity B: The amount of socks that can be bought with $14574.

Possible Answers:

Quantity A is greater.

The two quantities are equal.

The relationship cannot be determined.

Quantity B is greater.

Correct answer:

The two quantities are equal.

Explanation:

For this problem, realize that the store cannot buy part of a crate of socks. If they only have enough to pay for part of a crate, they might as well not have any money at all.

For the amount of money listed, figure out how many crates can be purchased:

Quantity A

$\frac{12651}{2091}=6.05$

So six crates can be purchased.

Quantity B:

$\frac{14574}{2091}=6.97$

Not quite enough for seven; only six crates can be purchased.

The two quantities are equal.

Report an Error

Example Question #264 : Arithmetic

Write 0.45 as a fraction.

Possible Answers:

$\frac{9}{20}$

$\frac{3}{4}$

$\frac{11}{20}$

$\frac{2}{5}$

$\frac{5}{9}$

Correct answer:

$\frac{9}{20}$

Explanation:

.45 is equivalent to 45 out of 100, or $\frac{45}{100}$ .

Divide both the numerator and denominator by 5 to simplify the fraction:

$\frac{9}{20}$

Report an Error

Example Question #32 : Fractions

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

Possible Answers:

$\frac{122}{500}$

$\frac{122}{1000}$

$\frac{61}{250}$

$\frac{61}{500}$

$\frac{61}{1000}$

Correct answer:

$\frac{61}{500}$

Explanation:

To convert from a decimal to a fraction, simply put the digits over followed by a number of zeroes equal to the number of digits:

$.122 = \frac{122}{1000}$

Then, you can reduce:

$\frac{122}{1000}=\frac{2\cdot 61}{2 \cdot 500}=\frac{61}{500}$

Report an Error

Example Question #33 : Fractions

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

0.47

Possible Answers:

$\frac{47}{10}$

$\frac{47}{100}$

$\frac{47}{1000}$

$\frac{23}{56}$

$\frac{94}{200}$

Correct answer:

$\frac{47}{100}$

Explanation:

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

$0.47=0.47 \cdot \frac{100}{100}=\frac{47}{100}$

is prime, so there's no way to reduce. You're done!

Report an Error

Example Question #34 : Fractions

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

0.022

Possible Answers:

$\frac{11}{500}$

$\frac{11}{50}$

$\frac{22}{100}$

$\frac{11}{250}$

$\frac{22}{1000}$

Correct answer:

$\frac{11}{500}$

Explanation:

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

$0.022=0.022\cdot \frac{1000}{1000}=\frac{022}{1000}$

The zero in front of the can be removed, leaving: $\frac{22}{1000}$ , which can be reducted to:

$\frac{22}{1000}=\frac{2\cdot 11}{2\cdot 500}=\frac{11}{500}$

Report an Error

Example Question #35 : Fractions

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

0.97

Possible Answers:

$\frac{34}{50}$

$\frac{97}{10}$

$\frac{34}{10}$

$\frac{97}{100}$

$\frac{9}{10}$

Correct answer:

$\frac{97}{100}$

Explanation:

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

$0.97=0.97\cdot \frac{100}{100}=\frac{97}{100}$

You cannot reduce, as one of the numbers in the fraction is prime, so that's your final answer.

Report an Error

Example Question #23 : Decimals With Fractions

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

0.82

Possible Answers:

$\frac{82}{1000}$

$\frac{41}{50}$

$\frac{820}{1000}$

$\frac{82}{100}$

$\frac{51}{100}$

Correct answer:

$\frac{41}{50}$

Explanation:

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

$0.82=0.82\cdot \frac{100}{100}=\frac{82}{100}$

Then, you can reduce for your final answer:

$\frac{82}{100}=\frac{2\cdot 41}{2\cdot 50}=\frac{41}{50}$

Report an Error

Example Question #451 : Arithmetic

What is the result of adding $20\%$ of $\frac{2}{7}$ to $\frac{1}{4}$ ?

Possible Answers:

$\frac{23}{11}$

$\frac{43}{140}$

$\frac{3}{28}$

$\frac{47}{140}$

$\frac{3}{39}$

Correct answer:

$\frac{43}{140}$

Explanation:

Let us first get our value for the percentage of the first fraction. 20% of 2/7 is found by multiplying 2/7 by 2/10 (or, simplified, 1/5): (2/7) * (1/5) = (2/35)

Our addition is therefore (2/35) + (1/4). There are no common factors, so the least common denominator will be 35 * 4 or 140. Multiply the numerator and denominator of 2/35 by 4/4 and the numerator of 1/4 by 35/35.

This yields:

(8/140) + (35/140) = 43/140, which cannot be reduced.

Report an Error

Example Question #1032 : Gre Quantitative Reasoning

Reduce to simplest form: $\frac{1}{4}+(\frac{4}{3}\times \frac{3}{8})-(\frac{1}{4}\div \frac{3}{8})$

Possible Answers:

$\frac{3}{4}$

$\frac{1}{4}$

$\frac{3}{8}$

$\frac{1}{3}$

$\frac{1}{12}$

Correct answer:

$\frac{1}{12}$

Explanation:

Simplify expressions inside parentheses first: $\dpi{100} \small \left (\frac{4}{3} \times \frac{3}{8} \right ) = \frac{12}{24} = \frac{1}{2}$ and $\dpi{100} \small \left (\frac{1}{4} \div \frac{3}{8} \right ) = \left (\frac{1}{4} \times \frac{8}{3} \right ) = \frac{8}{12} = \frac{2}{3}$

Now we have: $\frac{1}{4} + \frac{1}{2} - \frac{2}{3}$

Add them by finding the common denominator (LCM of 4, 2, and 3 = 12) and then multiplying the top and bottom of each fraction by whichever factors are missing from this common denominator:

$\dpi{100} \small \frac{1\times 3}{4\times 3} + \frac{1\times 6}{2\times 6} - \frac{2\times 4}{3\times 4} =\frac{3}{12} + \frac{6}{12} - \frac{8}{12} = \frac{1}{12}$

Report an Error

Example Question #453 : Arithmetic

Quantity A: $\frac{15}{x}+\frac{12}{y}$

Quantity B: $\frac{15y+12x}{xy}$

Which of the following is true?

Possible Answers:

The two quantities are equal.

Quantity A is larger.

Quantity B is larger.

The relationship between the two quantities cannot be determined.

Correct answer:

The two quantities are equal.

Explanation:

Start by looking at Quantity A. The common denominator for this expression is . To calculate this, you perform the following multiplications:

$\frac{15}{x}*\frac{y}{y}+\frac{12}{y}*\frac{x}{x}$

This is the same as:

$\frac{15y}{xy}+\frac{12x}{xy}$ , or $\frac{15y+12x}{xy}$

This is the same as Quantity B. They are equal!

Report an Error

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Houston, Physics Tutors in Atlanta, Biology Tutors in San Francisco-Bay Area, GMAT Tutors in Denver, Physics Tutors in Chicago, Computer Science Tutors in Boston, MCAT Tutors in Miami, Spanish Tutors in Washington DC, SSAT Tutors in Los Angeles, LSAT Tutors in New York City

Popular Courses & Classes

Spanish Courses & Classes in New York City, ACT Courses & Classes in Chicago, MCAT Courses & Classes in Denver, ACT Courses & Classes in Phoenix, MCAT Courses & Classes in Seattle, Spanish Courses & Classes in Denver, ISEE Courses & Classes in Los Angeles, GMAT Courses & Classes in Miami, ISEE Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

ISEE Test Prep in Dallas Fort Worth, LSAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Washington DC, GMAT Test Prep in Miami, LSAT Test Prep in San Diego, SSAT Test Prep in Philadelphia, ISEE Test Prep in Boston, ACT Test Prep in Miami, ISEE Test Prep in Houston

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)

Email address:
Your name:
Feedback:

GRE Math : Fractions

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #1031 : Gre Quantitative Reasoning

Example Question #264 : Arithmetic

Example Question #32 : Fractions

Example Question #33 : Fractions

Example Question #34 : Fractions

Example Question #35 : Fractions

Example Question #23 : Decimals With Fractions

Example Question #451 : Arithmetic

Example Question #1032 : Gre Quantitative Reasoning

Example Question #453 : Arithmetic

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details