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 #1 : One Step Equations With Fractions

Solve for :

$\frac{x}{\frac{2}{3}}=6$

Possible Answers:

Correct answer:

Explanation:

Isolate the variable to one side.

Multiply each side by $\frac{2}{3}$ :

$\frac{x}{\frac{2}{3}}=6$

$\frac{x\frac{2}{3}}{\frac{2}{3}}=\frac{6}{1}*\frac{2}{3}$

Simplify and reduce:

x=4

Report an Error

Example Question #2 : One Step Equations With Fractions

Solve for :

$\frac{2}{5}x=8$

Possible Answers:

$3\frac{1}{5}$

$8\frac{2}{5}$

Correct answer:

Explanation:

Step 1: Multiply both sides of the equation by the fraction's reciprocal to get alone on one side:

$\frac{5}{2}*\frac{2}{5}x=8*\frac{5}{2}$

$1x=8*\frac{5}{2}$

$x=8*\frac{5}{2}$

Step 2: Multiply:

$x=8*\frac{5}{2}=\frac{40}{2}=20$

Report an Error

Example Question #3 : One Step Equations With Fractions

Solve for :

$\frac{x}{\frac{4}{5}} = 2$

Possible Answers:

$\frac{10}{4}$

$\frac{8}{5}$

$\frac{5}{8}$

$\frac{8}{10}$

$\frac{4}{10}$

Correct answer:

$\frac{8}{5}$

Explanation:

The goal is to isolate the variable on one side.

$\frac{x}{\frac{4}{5}} = 2$

The opposite operation of division is multiplication, therefore , multiply each side by $\frac{4}{5}$ :

$\frac{\frac{4}{5}x}{\frac{4}{5}} = \frac{4}{5}\times 2$

The left hand side can be reduced by recalling that anything divided by itself is equal to 1:

$1\times x = \frac{4}{5} \times 2$

The identity law of multiplication takes effect and we get the solution as:

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

Report an Error

Example Question #2 : One Step Equations With Fractions

Solve for :

$\frac{6}{7} x = 3$

Possible Answers:

$\frac{18}{6}$

$\frac{18}{7}$

$\frac{18}{21}$

$\frac{21}{18}$

$\frac{7}{2}$

Correct answer:

$\frac{7}{2}$

Explanation:

The goal is to isolate the variable on one side.

$\frac{6}{7} x = 3$

The opposite operation of multiplication is division, therefore, we can either divide each side by $\frac{6}{7}$ or multiply each side by its reciprocal $\frac{7}{6}$ :

$\frac{7}{6}\times \frac{6}{7}x = \frac{7}{6}\times 3$

The left hand side can be reduced by recalling that anything multiplying a fraction by its reciprocal is equal to 1:

$1\times x = \frac{7}{6} \times 3$

The identity law of multiplication takes effect and we get the solution as:

$x = \frac{21}{6}$

However, this solution can be reduced by dividing both the numerator and denominator by 3:

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

Report an Error

Example Question #3 : One Step Equations With Fractions

Solve for :

$x + \frac{7}{3} = \frac{1}{6}$

Possible Answers:

$\frac{8}{3}$

$\frac{13}{6}$

$-\frac{6}{13}$

$-\frac{13}{6}$

$\frac{8}{6}$

Correct answer:

$-\frac{13}{6}$

Explanation:

The goal is to isolate the variable on one side.

$x + \frac{7}{3} = \frac{1}{6}$

The opposite operation of addition is subtraction so subtract $\frac{7}{3}$ from each side:

$x + \frac{7}{3} - \frac{7}{3} = \frac{1}{6} - \frac{7}{3}$

In order to complete the subtraction on the right hand side, we must first determine the common denominator, or common multiples of 3 and 6. The least common multiple of 3 and 6 is 6 itself.

$x = \frac{1}{6} - \frac{14}{6}$

Simplifying, we get the final solution:

$x = -\frac{13}{6}$

Report an Error

Example Question #5 : One Step Equations With Fractions

Solve for :

$x - \frac{5}{6} = \frac{5}{12}$

Possible Answers:

$\frac{7}{12}$

$-\frac{5}{4}$

$\frac{13}{12}$

$\frac{5}{4}$

$\frac{10}{12}$

Correct answer:

$\frac{5}{4}$

Explanation:

The goal is to isolate the variable on one side.

$x - \frac{5}{6} = \frac{5}{12}$

The opposite operation of subtraction is addition so add $\frac{5}{6}$ to each side:

$x - \frac{5}{6} + \frac{5}{6} = \frac{5}{12} + \frac{5}{6}$

In order to complete the addition on the right hand side, we must first determine the common denominator, or common multiples of 6 and 12. The least common multiple of 6 and 12 is 12 itself.

$x = \frac{5}{12} + \frac{10}{12}$

Simplifying, we obtain the solution:

$x = \frac{15}{12}$

Reducing the fraction to its simplest terms we get the final solution:

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

Report an Error

Example Question #1 : One Step Equations With Fractions

Solve for y

6y=15

Possible Answers:

y=90

$y=\frac{6}{15}$

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

$y=\frac{5}{6}$

y=6

Correct answer:

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

Explanation:

To get y by itself, you must divide by 6 on both sides

$\frac{6y}{6}=\frac{15}{6}$

which simplifies to

$y=\frac{15}{6}=\frac{5}{2}$

Report an Error

Example Question #1 : One Step Equations With Fractions

Solve for x

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

Possible Answers:

x=3

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

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

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

x=5

Correct answer:

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

Explanation:

To get x by itself, you must multiply both sides of the equation by 5

$\frac{x}{5}\times5=\frac{1}{3}\times5$

which simplifies to

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

Report an Error

Example Question #2 : One Step Equations With Fractions

Solve the equation below for x:

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

Possible Answers:

$\small \small 25$

$\small 45$

$\small 5$

$\small 125$

$\small 50$

Correct answer:

$\small \small 25$

Explanation:

For this equation, isolate the variable $\small x$ by preforming equivalent operations on both sides of the equation.

To isolate a variable multiplied by a fraction, any fraction multiplied by it's reciprocal equals one.

$\small \left(\frac{5}{1}\right)\small \frac{1}{5}x=5\left(\frac{5}{1}\right)$

Because $\small \frac{5}{5} = 1$ , we isolate $\small x$ , and the equation becomes $\small x=5\cdot \left(\frac{5}{1}\right)$

multiplying the values on the right side gives us

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

Report an Error

Example Question #1 : One Step Equations With Fractions

Solve for n:

$\frac{3}{4}n=9$

Possible Answers:

$n=\frac{27}{4}$

n=6

$n=\frac{33}{4}$

n=12

Correct answer:

n=12

Explanation:

$\frac{3}{4}n=9$

$\frac{4}{3}\left(\frac{3}{4}\cdot n\right)=\left(\frac{4}{3}\right)\left(9 \right )$

$n=\frac{36}{3}=12$

Report an Error

View Pre-Algebra Tutors

Anjali
Certified Tutor

Delhi University, Bachelor of Science, Physics. Kumuan University, Master of Science, Physics.

View Pre-Algebra Tutors

Arianna
Certified Tutor

Washington State University, Bachelor in Arts, Communication, General. City University of Seattle, Masters in Business Admini...

View Pre-Algebra Tutors

Ronald
Certified Tutor

Towson University, Master of Science, Counseling Psychology.

All Pre-Algebra Resources

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

Popular Subjects

GMAT Tutors in Los Angeles, Algebra Tutors in Seattle, Calculus Tutors in Chicago, Physics Tutors in Philadelphia, Reading Tutors in Boston, SAT Tutors in New York City, LSAT Tutors in Philadelphia, Physics Tutors in San Francisco-Bay Area, Spanish Tutors in Atlanta, Statistics Tutors in Houston

Popular Courses & Classes

GRE Courses & Classes in New York City, GMAT Courses & Classes in Seattle, Spanish Courses & Classes in Denver, Spanish Courses & Classes in New York City, SAT Courses & Classes in Phoenix, SAT Courses & Classes in Houston, LSAT Courses & Classes in Chicago, SAT Courses & Classes in San Diego, GRE Courses & Classes in Seattle, GRE Courses & Classes in Houston

Popular Test Prep

ISEE Test Prep in Washington DC, ACT Test Prep in Philadelphia, SAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Seattle, GRE Test Prep in Miami, GMAT Test Prep in Denver, GMAT Test Prep in Seattle, SSAT Test Prep in Miami, ACT Test Prep in New York City, ISEE Test Prep in Atlanta

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 #1 : One Step Equations With Fractions

Example Question #2 : One Step Equations With Fractions

Example Question #3 : One Step Equations With Fractions

Example Question #2 : One Step Equations With Fractions

Example Question #3 : One Step Equations With Fractions

Example Question #5 : One Step Equations With Fractions

Example Question #1 : One Step Equations With Fractions

Example Question #1 : One Step Equations With Fractions

Example Question #2 : One Step Equations With Fractions

Example Question #1 : One Step Equations With Fractions

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: