Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #77 : Fractions And Percentage

Convert $12.3\overline{123}\%$ to a reduced fraction.

Possible Answers:

$\frac{123}{999}$

$\frac{123}{333}$

$\frac{41}{999}$

$\frac{43}{237}$

$\frac{41}{333}$

Correct answer:

$\frac{41}{333}$

Explanation:

The bar on top means repeating decimals. Let's convert the percent to a decimal. We shift the decimal two places to the left.

The value is then $.123\overline{123}$ . Let's say $.123\overline{123}$ is .

If we multiply both sides by 1000 , we get 123.123=1000x .

If we subtract both equations, we get 123=999x .

$x=\frac{123}{999}=\frac{41}{333}$

Report an Error

Example Question #78 : Fractions And Percentage

$\small 35\%$ in the form of a fraction is $\small \square$ .

Possible Answers:

$\small \frac{3}{5}$

$\small \frac{7}{20}$

3.5

$\small \frac{3.5}{100}$

$\small \frac{3500}{10}$

Correct answer:

$\small \frac{7}{20}$

Explanation:

Percentages are equivalent to parts of a whole, or part of $\small 100$ . $\small 35\%$ then is equivalent to $\small \frac{35}{100}$ just like $\small 10\%$ is equivalent to $\small \frac{10}{100}$ , and $\small 60\%$ is equivalent to $\small \frac{60}{100}$ . An easy way to remember percentage to fraction conversions is to simply write the percentage over one hundred. Any percentage can be placed over one hundred and then reduced.

Further more, we are able to reduce this fraction by finding common factors in both the numerator and the denominator.

$\small \frac{35}{100}=\frac{5\cdot 7}{5\cdot 20}$

By canceling out the five in the numerator and the denominator we get our reduced fraction form and final answer of,

$\frac{7}{20}$ .

Report an Error

Example Question #21 : How To Find A Fraction From A Percentage

Convert $\small 47\%$ into a fraction.

Possible Answers:

$\small \frac{470}{1}$

This percentage cannot be converted to a fraction.

$\frac{.47}{10}$

$\frac{4.7}{100}$

$\frac{47}{100}$

Correct answer:

$\frac{47}{100}$

Explanation:

When converting percentages into fractions, the easiest way to go about it is to simply place the percentage given over one hundred.

So for this example, the percentage is $\small 47\%$ , meaning the it can be rewritten as $\small \frac{47}{100}$ .

Since $\small 47$ is a prime number, this fraction is already in its simplest form.

Report an Error

Example Question #22 : How To Find A Fraction From A Percentage

What is the most-simplified fractional equivalent of $\small 22 \%$ ?

Possible Answers:

$\small \frac{11}{50}$

$\small \frac{22}{100}$

$\small \frac{1}{11}$

$\small \frac{1}{25}$

$\small \frac{1}{22}$

Correct answer:

$\small \frac{11}{50}$

Explanation:

"Percent" literally means "out of 100," so 22% is equivalent to $\small \frac{22}{100}$ . We can simplify this becasue both the numerator and the denominator are divisible by 2. Divide top and bottom by 2 to get $\small \frac{11}{50}$ .

Report an Error

Example Question #3111 : Algebra 1

Find the fractional equivalent of the following percent:

$62\%$

Possible Answers:

$\frac{62}{50}$

$\frac{8}{25}$

$\frac{31}{50}$

$\frac{33}{50}$

Correct answer:

$\frac{31}{50}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction:

$62\%\rightarrow \frac{62}{50}\div \frac{2}{2}=\frac{31}{50}$

Report an Error

Example Question #3112 : Algebra 1

Find the fractional equivalent of the following percent:

$13\%$

Possible Answers:

$\frac{13}{100}$

$\frac{13}{10}$

$\frac{13}{25}$

$\frac{13}{50}$

Correct answer:

$\frac{13}{100}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$13\%\rightarrow \frac{13}{100}$

Report an Error

Example Question #3113 : Algebra 1

Find the fractional equivalent of the following percent:

$47\%$

Possible Answers:

$\frac{47}{1000}$

$\frac{47}{100}$

$\frac{47}{75}$

$\frac{47}{50}$

Correct answer:

$\frac{47}{100}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$47\%\rightarrow \frac{47}{100}$

Report an Error

Example Question #3114 : Algebra 1

Find the fractional equivalent of the following percent:

$80\%$

Possible Answers:

$\frac{4}{5}$

$\frac{2}{5}$

$\frac{8}{11}$

$\frac{3}{5}$

Correct answer:

$\frac{4}{5}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$80\%\rightarrow \frac{80}{100}\div \frac{10}{10}=\frac{8}{10}\div \frac{2}{2}=\frac{4}{5}$

Report an Error

Example Question #3115 : Algebra 1

Find the fractional equivalent of the following percent:

$25\%$

Possible Answers:

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{5}{21}$

Correct answer:

$\frac{1}{4}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$25\%\rightarrow \frac{25}{100}\div \frac{25}{25}=\frac{1}{4}$

Report an Error

Example Question #3116 : Algebra 1

Find the fractional equivalent of the following percent:

$32\%$

Possible Answers:

$\frac{8}{75}$

$\frac{2}{25}$

$\frac{8}{25}$

$\frac{4}{25}$

Correct answer:

$\frac{8}{25}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$32\%\rightarrow \frac{32}{100}\div \frac{4}{4}=\frac{8}{25}$

Report an Error

View Algebra Tutors

Sydney
Certified Tutor

Florida Gulf Coast University, Bachelor of Science, Mathematics.

View Algebra Tutors

Keith
Certified Tutor

Xavier University, Bachelor in Business Administration, Accounting. Ohio University-Main Campus, Masters in Education, Mathem...

View Algebra Tutors

Vandini
Certified Tutor

Lucknow University, Bachelor of Science, Mathematics.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

French Tutors in Phoenix, English Tutors in Los Angeles, LSAT Tutors in Phoenix, LSAT Tutors in Houston, Chemistry Tutors in Seattle, Biology Tutors in Philadelphia, French Tutors in San Diego, Physics Tutors in New York City, ACT Tutors in Houston, Biology Tutors in Phoenix

Popular Courses & Classes

Spanish Courses & Classes in Atlanta, Spanish Courses & Classes in Miami, SSAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Los Angeles, ISEE Courses & Classes in Phoenix, GMAT Courses & Classes in Washington DC, MCAT Courses & Classes in Denver, ACT Courses & Classes in New York City, GMAT Courses & Classes in Houston

Popular Test Prep

ACT Test Prep in New York City, ACT Test Prep in Atlanta, SSAT Test Prep in Houston, ACT Test Prep in Philadelphia, GRE Test Prep in Atlanta, GMAT Test Prep in Los Angeles, LSAT Test Prep in Houston, ISEE Test Prep in Chicago, GRE Test Prep in Seattle, SSAT Test Prep in Chicago

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

Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #77 : Fractions And Percentage

Example Question #78 : Fractions And Percentage

Example Question #21 : How To Find A Fraction From A Percentage

Example Question #22 : How To Find A Fraction From A Percentage

Example Question #3111 : Algebra 1

Example Question #3112 : Algebra 1

Example Question #3113 : Algebra 1

Example Question #3114 : Algebra 1

Example Question #3115 : Algebra 1

Example Question #3116 : Algebra 1

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: