Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : How to solve one-step equations with fractions in pre-algebra

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{3}{5}x=9$

What is ?

Possible Answers:

$5\tfrac{2}{5}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take $\frac{3}{5}x=9$ and multiply both sides by $\frac{5}{}3}$ :

$\frac{3}{5}x=9$

$\frac{5}{3}*\frac{3}{5}x=9*\frac{5}{3}$

Notice that $\frac{5}{}3}$ and $\frac{3}{5}$ cancel out, leaving us with $x=9*\frac{5}{3}$ .

At this point, you can either plug $9*\frac{5}{3}$ into your calculator, or you can solve this in pieces.

We can do some manipulation to get: $9*\frac{5}{3}=\frac{9*5}{3}=\frac{9}{3}*5$

$\frac{9}{3}=3$ , so we can plug that into $x=\frac{9}{3}*5$ .

$x=\frac{9}{3}*5$

x=3*5=15

Report an Error

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{1}{3}x=7$

What is ?

Possible Answers:

$\frac{7}{3}$

$7\tfrac{1}{3}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal, so we take $\frac{1}{3}x=7$ and multiply both sides by $\frac{3}{1}$ :

$\frac{1}{3}x=7$

$\frac{3}{1}*\frac{1}{3}x=7*\frac{3}{1}$

Since $\frac{3}{1}*\frac{1}{3}=1$ , we can simplify that equation to $x=7*\frac{3}{1}$ .

Therefore, x=7*3=21 .

Report an Error

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{1}{9}x=4$

What is ?

Possible Answers:

$\frac{4}{9}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take $\frac{1}{9}x=4$ and multiply both sides by $\frac{9}{1}$ :

$\frac{1}{9}x=4$

$\frac{9}{1}*\frac{1}{9}x=4*\frac{9}{1}$

Since $\frac{9}{1}*\frac{1}{9}=1$ , we can simplify that equation to $x=4*\frac{9}{1}$ .

Therefore, x=4*9=36 .

Report an Error

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{x}{4}=2$

What is

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

To get rid of the $\frac{x}{4}$ , we multiply both sides by :

$\frac{x}{4}=2$

$4*\frac{x}{4}=2*4$

x=2*4

x=8

Report an Error

Example Question #371 : High School Math

$x=\frac{8}{2}$

What is ?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to reduce $x=\frac{8}{2}$ . Both the top and the bottom of $\frac{8}{2}$ are divisible by , so we can reduce it to $\frac{4}{1}$ . Anything divided by is itself, so $x=\frac{8}{2}$ is the same as x=4 .

Report an Error

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=9*\frac{2}{3}$

What is ?

Possible Answers:

$\frac{11}{3}$

Correct answer:

Explanation:

To solve, multiply the right side:

$x=9*\frac{2}{3}$

$x=\frac{18}{3}$

x=6

Report an Error

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=13*\frac{1}{2}$

What is ?

Possible Answers:

$6\tfrac{1}{2}$

$7\tfrac{1}{2}$

Correct answer:

$6\tfrac{1}{2}$

Explanation:

To solve this problem, multiply across: $x=13*\frac{1}{2}=\frac{13}{1}*\frac{1}{2}=\frac{13}{2}$ .

is a prime number, so we cannot reduce further. From here, covert $\frac{13}{2}$ into a mixed fraction: $x=6\tfrac{1}{2}$

Report an Error

Example Question #371 : High School Math

$x=14*\frac{3}{2}$

What is ?

Possible Answers:

$17\tfrac{1}{2}$

$3\tfrac{1}{2}$

Correct answer:

Explanation:

To solve this problem, multiply across:

$x=14*\frac{3}{2}=\frac{14}{1}*\frac{3}{2}=\frac{42}{2}= 21$

Report an Error

Example Question #372 : High School Math

$x=9*\frac{2}{3}$

Solve for .

Possible Answers:

$\frac{27}{2}$

$9\tfrac{2}{3}$

Correct answer:

Explanation:

$x=9*\frac{2}{3}$

$x=\frac{9}{1}*\frac{2}{3}$

$x=\frac{9*2}{1*3}$

$x=\frac{18}{3}$

x=6

Report an Error

Example Question #373 : High School Math

$x*\frac{2}{3}=12$

Solve for .

Possible Answers:

$11\tfrac{1}{3}$

Correct answer:

Explanation:

To solve for , we need to isolate our variable. That means that we want ONLY the on the left side of the equation.

$x*\frac{2}{3}=12$

We want to divide by $\frac{2}{3}$ . The way you divide by a fraction is to multiply by the reciprocal. The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$ .

Therefore:

$x*\frac{2}{3}*\frac{3}{2}=12*\frac{3}{2}$

Since $\frac{2}{3}*\frac{3}{2}=\frac{6}{6}=1$ , we can ignore it.

$x=12*\frac{3}{2}$

$x=\frac{12}{1}*\frac{3}{2}$

$x=\frac{36}{2}$

x=18

Report an Error

View Tutors

Shantae
Certified Tutor

Florida State University, Bachelor of Science, Art Teacher Education.

View Tutors

Elizabeth
Certified Tutor

University of Oklahoma Norman Campus, Bachelor of Education, Education. University of Oklahoma Norman Campus, Master of Scien...

View Tutors

Kenneth
Certified Tutor

North Carolina State University at Raleigh, Bachelor in Arts, Anthropology.

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Phoenix, French Tutors in Houston, English Tutors in Boston, LSAT Tutors in Denver, ISEE Tutors in Denver, SSAT Tutors in San Diego, GMAT Tutors in Boston, SAT Tutors in Dallas Fort Worth, ACT Tutors in Houston, Physics Tutors in Miami

Popular Courses & Classes

MCAT Courses & Classes in Phoenix, GRE Courses & Classes in San Diego, GMAT Courses & Classes in Houston, SSAT Courses & Classes in Washington DC, ISEE Courses & Classes in New York City, MCAT Courses & Classes in Houston, LSAT Courses & Classes in Miami, SSAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Los Angeles, GRE Courses & Classes in Atlanta

Popular Test Prep

GRE Test Prep in Los Angeles, LSAT Test Prep in Denver, GMAT Test Prep in Philadelphia, GRE Test Prep in Washington DC, GMAT Test Prep in Houston, SSAT Test Prep in Houston, GRE Test Prep in Denver, SSAT Test Prep in Washington DC, ISEE Test Prep in Miami, LSAT Test Prep in Seattle

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

High School Math : How to solve one-step equations with fractions in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #371 : High School Math

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #371 : High School Math

Example Question #372 : High School Math

Example Question #373 : High School Math

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: