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 #21 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{1}{3}x=5$

Solve for .

Possible Answers:

$1\tfrac{2}{3}$

$\frac{3}{5}$

Correct answer:

Explanation:

To solve for , the first thing we need to do is isolate the variable. That means we want ONLY on the left side of the equation.

$\frac{1}{3}x=5$

To divide by a fraction, we need to multiply by the reciprocal. The reciprocal of $\frac{1}{3}=\frac{3}{1}=3$ .

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

x=5*3

x=15

Report an Error

Example Question #22 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if, $\frac{2x}{5}=\frac{2}{3}$

Possible Answers:

$\frac{5}{3}$

$\frac{3}{5}$

Correct answer:

$\frac{5}{3}$

Explanation:

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.

Since it is a fraction we must multiply each side by the reciprocal like this

$\left(\frac{5}{2}\right)\frac{2x}{5}=\frac{2}{3}\left(\frac{5}{2}\right)$

The numbers on the left cancel and we have

$x=\frac{2}{3}\left(\frac{5}{2}\right)$

To multiply a fraction you multiply the top number of the first fraction by the top number of the second fraction and the bottom number of the first fraction by the bottom number of the second fraction.

We do this and find the answer is

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

Reduce the fraction to get

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

Report an Error

Example Question #23 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if, $\frac{5x}{3}=\frac{8}{15}$

Possible Answers:

$x=\frac{8}{25}$

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

x=3

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

Correct answer:

$x=\frac{8}{25}$

Explanation:

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.

Since it is a fraction we must multiply each side by the reciprocal like this

$\left(\frac{3}{5}\right)\cdot \frac{5x}{3}=\frac{8}{15}\cdot \left(\frac{3}{5}\right)$

The numbers on the left cancel and we have

$x=\left(\frac{8}{15}\right)\cdot \left(\frac{3}{5}\right)$

We do this and find the answer is

$x=\frac{24}{75}$

Reduce the fraction to get

$x=\frac{8}{25}$ .

Report an Error

Example Question #24 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if

$\frac{x}{6}=18$

Possible Answers:

x=36

x=5

x=3

x=108

Correct answer:

x=108

Explanation:

To solve for we must get all of the numbers on the other side of the equation of .

To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.

In this case the number is so we multiply each side of the equation by to make it look like this

$6\cdot \left(\frac{x}{6}\right)=(18)\cdot 6$

The 6's on the left side cancel and then we multiply $x=6\cdot 18$

The answer is x=108 .

Report an Error

Example Question #25 : How To Solve One Step Equations With Fractions In Pre Algebra

$7=\frac{1}{2}x$

Solve for .

Possible Answers:

3.5

Correct answer:

Explanation:

To solve $7=\frac{1}{2}x$ , we need to isolate . That means we want all the numbers on one side and the on the other side.

For this problem, that means we need to get rid of $\frac{1}2{}$ on the right side. To divide by a fraction, we multiply by the reciprocal.

$\frac{2}{1}*7=\frac{1}{2}x*\frac{2}{1}$

$\frac{2*7}{1}=\frac{2}{2}x$

$\frac{14}{1}=1*x$

14=x

Report an Error

Example Question #26 : How To Solve One Step Equations With Fractions In Pre Algebra

$10=\frac{1}{4}x$

Solve for .

Possible Answers:

$\frac{1}{40}$

$2\tfrac{1}{2}$

$10\tfrac{1}{4}$

Correct answer:

Explanation:

To solve $10=\frac{1}{4}x$ , we need to isolate . Therefore, we want all the numbers on one side and the on the other side.

For this problem, we need to get rid of $\frac{1}4{}$ on the right side. To divide by a fraction, we multiply by the reciprocal.

$\frac{4}{1}*10=\frac{1}{4}x*\frac{4}{1}$

$\frac{4*10}{1}*=\frac{4}{4}x$

40=x

Report an Error

Example Question #27 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if $x-\frac{7}{5}=\frac{5}{8}$ .

Possible Answers:

$x=\frac{7}{8}$

$x=\frac{8}{5}$

$x=\frac{81}{40}$

$x=\frac{38}{9}$

Correct answer:

$x=\frac{81}{40}$

Explanation:

To solve for we must get all of the constants on the other side of the equation as .

To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is $\frac{7}{5}$ so we add $\frac{7}{5}$ to each side of the equation: $x-\frac{7}{5}+\frac{7}{5}=\frac{5}{8}+\frac{7}{5}$

To add fractions we must first ensure that we have the same denominator.

To do this we must find the least common multiple of the denominators.

In this case the LCM is .

We then multiply $\frac{5}{8}*\frac{5}{5}$ and $\frac{7}{5}*\frac{8}{8}$ to get the same denominator for both fractions.

To multiply a fraction, multiply the top number of the first fraction by the top number of the second fraction and the bottom number of the first fraction by the bottom number of the second fraction.

$x=\frac{25}{40}+\frac{56}{40}$

We then add the numerators together and place the result over the new denominator.

$x=\frac{81}{40}$

Report an Error

Example Question #28 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{2}{7}x=18$

Solve for .

Possible Answers:

5.14

126

Correct answer:

Explanation:

Our goal here is to isolate . That means we want just on the left side.

For our problem, $\frac{2}{7}x=18$ , we need to get rid of the fraction. Dividing by a fraction is the same as multiplying by the reciprocal.

$\frac{2}{7}x=18$

$\frac{7}{2}*\frac{2}{7}x=18*\frac{7}{2}$

$\frac{14}{14}x=\frac{18*7}{2}$

$x=\frac{126}{2}$

x=63

Report an Error

Example Question #29 : How To Solve One Step Equations With Fractions In Pre Algebra

$32=\frac{1}2{}x$

Solve for .

Possible Answers:

Correct answer:

Explanation:

When solving for , we want to isolate it. That means we want only on the right side of the equation.

For our given equation, $32=\frac{1}2{}x$ , we need to divide both sides by $\frac{1}{2}$ .

Dividing by a fraction is the same as multiplying by the reciprocal so this will look like:

$\frac{2}{1}*32=\frac{1}2{}x*\frac{2}{1}$

$\frac{2}{1}*\frac{32}{1}=\frac{1}2{}x*\frac{2}{1}$

$\frac{2*32}{1}=\frac{1*2}{2*1}x$

$\frac{64}{1}=\frac{2}{2}x$

64=x

Report an Error

Example Question #30 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=4*\frac{1}{2}$

Solve for .

Possible Answers:

$4\tfrac{1}{2}$

4.2

Correct answer:

Explanation:

$x=4*\frac{1}{2}$

$x=\frac{4}{1}*\frac{1}{2}$

$x=\frac{4*1}{1*2}$

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

x=2

Report an Error

View Tutors

Kimberly
Certified Tutor

Alabama State University, Bachelor of Science, Therapeutic Recreation. Alabama State University, Master's/Graduate, Collabora...

View Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View Tutors

Jeffrey
Certified Tutor

All High School Math Resources

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

Popular Subjects

Physics Tutors in Philadelphia, ACT Tutors in Atlanta, Math Tutors in Dallas Fort Worth, Biology Tutors in Boston, ACT Tutors in San Francisco-Bay Area, Calculus Tutors in Denver, Math Tutors in Chicago, SAT Tutors in Phoenix, GMAT Tutors in San Diego, Statistics Tutors in Washington DC

Popular Courses & Classes

ACT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in San Diego, SAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Denver, MCAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Chicago, SAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Phoenix, LSAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in New York City

Popular Test Prep

ISEE Test Prep in Boston, ACT Test Prep in Denver, GRE Test Prep in Houston, SAT Test Prep in Philadelphia, ISEE Test Prep in Atlanta, GRE Test Prep in New York City, MCAT Test Prep in Denver, GMAT Test Prep in Chicago, LSAT Test Prep in New York City, MCAT 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)

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 #21 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #22 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #23 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #24 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #25 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #26 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #27 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #28 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #29 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #30 : How To Solve One Step Equations With Fractions In Pre Algebra

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: