GRE Math : Decimals with 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 #1 : Decimals With Fractions

Convert $\frac{23}{5}$ to an equivalent decimal number.

Possible Answers:

4.5

4.05

5.5

4.6

4.06

Correct answer:

4.6

Explanation:

To convert this fraction to a decimal number, divide the numerator by the denominator. Since this fraction has a larger numerator than denominator, the fraction is classified as an improper fraction. This means that the fraction represents a value greater than one whole. Thus, the solution must be greater than one.

$\frac{23}{5}=23\div5= 4.6$

Note that fits into evenly times, and has a remainder for of $\frac{3}{5}=\frac{6}{10}=0.6$

Report an Error

Example Question #1 : How To Find Decimal Fractions

Find the decimal equivalent of $\frac{34}{200}$ .

Possible Answers:

0.17

0.34

1.7

0.034

0.017

Correct answer:

0.17

Explanation:

Fractions and decimals both represent part of a whole. To solve this problem you may divide by 200 , or you can reduce the fraction by dividing the numerator and denominator by the common factor of This will equal a fraction of hundredths, which can be written as the decimal number "zero and hundredths."

$\frac{34}{200}=\frac{34\div 2}{200\div 2}=\frac{17}{100}=0.17$

Note: both $34\div200$ and $17\div100$ equal 0.17

Report an Error

Example Question #1 : Decimals With Fractions

Find the fractional equivalent for 0.707 .

Possible Answers:

$\frac{77}{100}$

$\frac{70}{100}$

$\frac{770}{1,000}$

$\frac{707}{1,000}$

$\frac{70}{1,000}$

Correct answer:

$\frac{707}{1,000}$

Explanation:

Decimal numbers and fractions both represent part of a whole. This decimal number has a value of in the tenths and thousandths place values. Since the decimal number reaches the thousandths place, the correct answer is 707 over 1,000 --which represents 707 thousandths.

$0.707=\frac{707}{1,000}$

Report an Error

Example Question #1 : Decimals With Fractions

Convert 1.08 to a mixed number fraction. Then simplify your answer.

Possible Answers:

$1\frac{16}{100}$

$1\frac{8}{10}$

$\frac{8}{10}$

$1\frac{1}{2}$

$1\frac{2}{25}$

Correct answer:

$1\frac{2}{25}$

Explanation:

Both decimals and fractions represent part of a whole. To convert this decimal number to a mixed number fraction, use the following steps:

$1.08=1\frac{8}{100}$

(because the decimal number has a in the ones place value and an in the hundredths place value).

Then simplify $\frac{8}{100}$ .

$\frac{8}{100}=\frac{4}{50}=\frac{2}{25}$

Thus, the correct answer is $1\frac{2}{25}$

Report an Error

Example Question #3 : How To Find Decimal Fractions

Convert 0.98 to a fraction. Then simplify.

Possible Answers:

$\frac{98}{100}$

$\frac{9}{10}$

$\frac{24}{25}$

$\frac{49}{50}$

$\frac{98}{10}$

Correct answer:

$\frac{49}{50}$

Explanation:

Both decimals and fractions represent part of a whole. Since this decimal number has a value of in the tenths place and a value of in the hundredths place, it can be re-written as:

$\frac{98}{100}$ .

Then, simplify the fraction by dividing both the numerator and denominator by a divisor of

Thus, the solution is:

$0.98=\frac{98}{100}=\frac{98\div 2}{100\div 2}=\frac{49}{50}$

Report an Error

Example Question #3 : Decimals With Fractions

Find the fractional equivalent to 8.045 .

Possible Answers:

$\frac{845}{100}$

$\frac{1,609}{200}$

$8\frac{45}{10}$

$\frac{1,600}{200}$

$8\frac{45}{100}$

Correct answer:

$\frac{1,609}{200}$

Explanation:

This problem requires several conversions. First, convert 8.045 into a mixed number fraction. This means, the new fraction will have a whole number of and a fraction that represents thousandths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator.

Thus, the solution is:

$8.045=8\frac{45}{1,000}=8\frac{45\div 5}{1,000\div 5}=8\frac{9}{200}=\frac{(8\times 200)+9}{200}=\frac{1,609}{200}$

Report an Error

Example Question #4 : How To Find Decimal Fractions

Convert 6.70 to an improper fraction.

Possible Answers:

$\frac{67}{10}$

$\frac{67}{100}$

$\frac{76}{10}$

$\frac{6}{10}$

$\frac{70}{6}$

Correct answer:

$\frac{67}{10}$

Explanation:

This problem requires two conversions. First convert 6.7 to a mixed number fraction. This must equal a whole number of and a fraction that represents a value of tenths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator.

Thus, the solution is:
$6.70=6\frac{7}{10}=\frac{(6\times 10)+7}{10}=\frac{67}{10}$

Report an Error

Example Question #2 : Decimals With Fractions

Find the fractional equivalent to 2.25 . Then reduce the fraction if possible.

Possible Answers:

$2\frac{3}{4}$

$\frac{25}{100}$

$2\frac{25}{10}$

$2\frac{4}{10}$

$2\frac{1}{4}$

Correct answer:

$2\frac{1}{4}$

Explanation:

To solve this problem, make a mixed number fraction with a whole number of and a fraction that represents hundredths. Then simplify the fraction portion of the mixed number by dividing the numerator and denominator by their largest common divisor.

$2.25=2\frac{25}{100}=2\frac{25\div 25}{100\div 25}=2\frac{1}{4}$

Report an Error

Example Question #1 : How To Find Decimal Fractions

Find the fractional equivalent to 3.504 . Then simplify.

Possible Answers:

$3\frac{120}{250}$

$3\frac{63}{125}$

$3\frac{54}{1,000}$

$3\frac{4}{5}$

$3\frac{54}{100}$

Correct answer:

$3\frac{63}{125}$

Explanation:

This problem requires you to first convert the decimal number to a mixed number fraction that has a whole number of and a fraction that represents 504 thousandths. Then reduce the numerator and denominator by common divisors until you can no longer simplify the fraction.

$3.504=3\frac{504}{1,000}=3\frac{504\div 4}{1,000\div 4}=3\frac{126}{250}=3\frac{126\div 2}{250\div 2}=3\frac{63}{125}$

Report an Error

Example Question #4 : Decimals With Fractions

Convert 0.0646 to a fraction. Then simplify.

Possible Answers:

$\frac{323}{5,000}$

$\frac{323}{10,000}$

$\frac{323}{500}$

$\frac{646}{1,000}$

$\frac{46}{100}$

Correct answer:

$\frac{323}{5,000}$

Explanation:

Both fractions and decimals represent part of a whole. The value of this decimal number reaches the ten-thousandths place value. Thus, the fraction must represent 646 ten-thousandths. Then reduce the numerator and denominator by the common divisor of .

$0.0646=\frac{646}{10,000}=\frac{646\div 2}{10,000\div 2}=\frac{323}{5,000}$

Report an Error

All GRE Math Resources

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

Popular Subjects

SAT Tutors in Philadelphia, MCAT Tutors in New York City, ISEE Tutors in Philadelphia, GRE Tutors in Seattle, Computer Science Tutors in Los Angeles, Computer Science Tutors in Washington DC, GMAT Tutors in Atlanta, Calculus Tutors in Chicago, Chemistry Tutors in San Francisco-Bay Area, English Tutors in San Diego

Popular Courses & Classes

SAT Courses & Classes in Denver, ACT Courses & Classes in Miami, Spanish Courses & Classes in Atlanta, Spanish Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Los Angeles, Spanish Courses & Classes in Houston, GMAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in San Diego, GMAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Chicago

Popular Test Prep

GMAT Test Prep in Seattle, GMAT Test Prep in San Diego, ISEE Test Prep in Houston, GRE Test Prep in Atlanta, GMAT Test Prep in Denver, GMAT Test Prep in Houston, LSAT Test Prep in Seattle, ACT Test Prep in Philadelphia, GRE Test Prep in New York City, LSAT Test Prep in Boston

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 : Decimals with Fractions

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #1 : Decimals With Fractions

Example Question #1 : How To Find Decimal Fractions

Example Question #1 : Decimals With Fractions

Example Question #1 : Decimals With Fractions

Example Question #3 : How To Find Decimal Fractions

Example Question #3 : Decimals With Fractions

Example Question #4 : How To Find Decimal Fractions

Example Question #2 : Decimals With Fractions

Example Question #1 : How To Find Decimal Fractions

Example Question #4 : Decimals With Fractions

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details