Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : One-Step Equations with Fractions

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #71 : One Step Equations

Solve:

$\frac{6x}{5}= 4$

Possible Answers:

$\frac{20}{6}$

$\frac{24}{5}$

$\frac{10}{3}$

$\frac{30}{4}$

Correct answer:

$\frac{10}{3}$

Explanation:

Eliminate the denominator by multiplying both sides by 5:

$6x=5\cdot 4$

6x=20

Isolate the variable by dividing both sides by 6:

$\frac{6x}{6}=\frac{20}{6}$

$1x=\frac{20}{6}$

Reduce the fraction to it lowest terms by dividing 20 and 6 by 2:

$x= \frac{10}{3}$

Report an Error

Example Question #72 : One Step Equations

Solve for :

$\frac{3}{4}x=\frac{6}{3}$

Possible Answers:

$x=\frac{8}{3}$

$x=\frac{3}{2}$

$x=\frac{10}{3}$

x=5

Correct answer:

$x=\frac{8}{3}$

Explanation:

$\frac{3}{4}x=\frac{6}{3}$

Divide both sides by $\frac{3}{4}$ :

$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{\frac{6}{3}}{\frac{3}{4}}$

$x=\frac{\frac{6}{3}}{\frac{3}{4}}$

Simplify:

$\frac{\frac{6}{3}}{\frac{3}{4}}=\frac{6}{3}\times \frac{4}{3}=\frac{24}{9}=\frac{8}{3}=x$

Report an Error

Example Question #73 : One Step Equations

Solve for :

$\frac{3}{4}x=36$

Possible Answers:

$\small 16$

$\small 48$

$\small 27$

$\small 18$

$\small 0$

Correct answer:

$\small 48$

Explanation:

To get x by itself multiply both sides by 4 to get

3x=4*36 , then divide both sides by 3 to get

$x=\left(\frac{4*36}{3}\right)$

When you simplify, you can cancel the three on bottom with the 3 in the numerator because it is a factor of 36 leaving you with:

x=4*12

Report an Error

Example Question #11 : One Step Equations With Fractions

Solve for :

$\frac{3}{4}x=\frac{4}{3}$

Possible Answers:

$\frac{16}{9}$

$\frac{3}{4}$

$\frac{4}{3}$

Correct answer:

$\frac{16}{9}$

Explanation:

The goal is to isolate x so to solve this you will first multiple both sides by 4

$\frac{3}{4}x*4=\frac{4}{3}*\4$

This gives you:

$3x=\frac{16}{3}$

You must then divide both sides by 3

$\frac{3x}{3}=\frac{16}{3}*\frac{1}{3}$

you then get your answer:

$x=\frac{16}{9}$

Report an Error

Example Question #75 : One Step Equations

Solve for :

$\small \frac{3}{5}x=12$

Possible Answers:

$\small \frac{36}{5}$

$\small 12$

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

$\small 20$

$\small 16$

Correct answer:

$\small 20$

Explanation:

To solve this equation, isolate on one side.

First, move the fraction to the other side by multiplying by its reciprocal.

$\small \frac{5}{3}*\frac{3}{5}x = \frac{12}{1}*\frac{5}{3}$

$\small x = \frac{60}{3}$

Next, simplify the complex fraction.

$\small x=20$

Report an Error

Example Question #11 : One Step Equations With Fractions

Solve for :

$x + \frac{1}{2} = \frac{3}{2}$

Possible Answers:

$\frac{3}{4}$

$\frac{2}{3}$

Correct answer:

Explanation:

The goal is to isolate the variable on one side.

$x + \frac{1}{2} = \frac{3}{2}$

The opposite operation of addition is subtraction so subtract $\frac{1}{2}$ from each side:

$x + \frac{1}{2} - \frac{1}{2} = \frac{3}{2} - \frac{1}{2}$

Simplifying, we get the solution:

$x = \frac{2}{2}$

Finally, reducing to simplest terms:

x = 1

Report an Error

Example Question #12 : One Step Equations With Fractions

Solve for :

$x - \frac{3}{4} = \frac{7}{4}$

Possible Answers:

$\frac{5}{2}$

$\frac{21}{4}$

$-\frac{5}{2}$

Correct answer:

$\frac{5}{2}$

Explanation:

The goal is to isolate the variable on one side.

$x - \frac{7}{4} = \frac{3}{4}$

The opposite operation of subtraction is addition so add $\frac{7}{4}$ to each side:

$x - \frac{7}{4} + \frac{7}{4} = \frac{3}{4} + \frac{7}{4}$

Simplifying, we get the final solution:

$x = \frac{10}{4}$

Reducing the fraction we obtain the final solution:

$x = \frac{5}{2}$

Report an Error

Example Question #78 : One Step Equations

Solve for :

$\frac{x}{\frac{3}{4}}=12$

Possible Answers:

12.75

Correct answer:

Explanation:

Explanation:

Isolate the variable to one side.

Multiply each side by $\frac{3}{4}$ :

$\frac{x}{\frac{3}{4}}=12$

$\frac{x\frac{3}{4}}{\frac{3}{4}}=\frac{12}{1}*\frac{3}{4}$

Report an Error

Example Question #79 : One Step Equations

Solve for ""

$\frac{1}{6}x=10$

Possible Answers:

x=10

x=40

x=60

x=2

x=30

Correct answer:

x=60

Explanation:

Because of the fraction, you must mulitply each side by 6, removing the $\frac{1}{6}$ .

$6\left(\frac{1}{6} \right )x=10\cdot6$

1x=60

The problem then reads x=60 .

Report an Error

Example Question #81 : One Step Equations

Solve for .

4z=10

Possible Answers:

$z=\frac{5}{2}$

z=40

$z=\frac{5}{4}$

z=0

$z=\frac{10}{2}$

Correct answer:

$z=\frac{5}{2}$

Explanation:

To get z by itself, you must divide both sides of the equation by 4

$\frac{4z}{4}=\frac{10}{4}$

which simplifies to

$z=\frac{10}{4}=\frac{5}{2}$

Report an Error

View Pre-Algebra Tutors

Scott
Certified Tutor

Albright College, Bachelor of Science, Mathematics. Immaculata University, Master of Arts, Urban Education and Leadership.

View Pre-Algebra Tutors

Darian
Certified Tutor

University of North Texas, Current Undergrad Student, English.

View Pre-Algebra Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Los Angeles, Physics Tutors in Seattle, GMAT Tutors in Chicago, Physics Tutors in Philadelphia, Chemistry Tutors in Philadelphia, Chemistry Tutors in San Francisco-Bay Area, Algebra Tutors in Los Angeles, SSAT Tutors in Los Angeles, ACT Tutors in Boston, Spanish Tutors in Miami

Popular Courses & Classes

MCAT Courses & Classes in Atlanta, SSAT Courses & Classes in Washington DC, SAT Courses & Classes in Washington DC, Spanish Courses & Classes in Washington DC, SAT Courses & Classes in Miami, SAT Courses & Classes in Houston, SAT Courses & Classes in Phoenix, SSAT Courses & Classes in Houston, Spanish Courses & Classes in San Diego, Spanish Courses & Classes in Philadelphia

Popular Test Prep

MCAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in New York City, LSAT Test Prep in Los Angeles, GMAT Test Prep in Philadelphia, SSAT Test Prep in New York City, LSAT Test Prep in New York City, GRE Test Prep in San Francisco-Bay Area, GMAT Test Prep in Washington DC, GMAT Test Prep in New York City, SSAT Test Prep in Los Angeles

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

Pre-Algebra : One-Step Equations with Fractions

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #71 : One Step Equations

Example Question #72 : One Step Equations

Example Question #73 : One Step Equations

Example Question #11 : One Step Equations With Fractions

Example Question #75 : One Step Equations

Example Question #11 : One Step Equations With Fractions

Example Question #12 : One Step Equations With Fractions

Example Question #78 : One Step Equations

Example Question #79 : One Step Equations

Example Question #81 : One Step Equations

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: