We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Fractions

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Adding And Subtracting Fractions

Add these fractions:

$\frac{2}{3}+\frac{4}{5}$

Possible Answers:

$1\frac{15}{22}$

$1\frac{7}{15}$

$\frac{7}{15}$

$1\frac{4}{15}$

Correct answer:

$1\frac{7}{15}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 5 on the top and bottom and the second fraction by 3 on the top and bottom.

$\frac{2}{3}*\frac{5}{5}=\frac{10}{15}$

$\frac{4}{5}*\frac{3}{3}=\frac{12}{15}$

Add these fractions together, then write it as a mixed number

$\frac{10}{15}+\frac{12}{15}=\frac{22}{15}=1\frac{7}{15}$

Report an Error

Example Question #41 : Fractions

Add these fractions:

$\frac{1}{2}+\frac{1}{6}$

Possible Answers:

$\frac{4}{3}$

$\frac{5}{6}{}$

$\frac{1}{3}$

$\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 3 over 3.

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

Add these fractions together, then reduce it to get the final answer.

$\frac{3}{6}+\frac{1}{6}=\frac{4}{6}=\frac{2\cdot2}{2\cdot 3}=\frac{2}{3}$

Report an Error

Example Question #14 : Adding And Subtracting Fractions

Add these fractions:

$\frac{3}{5}+\frac{2}{7}$

Possible Answers:

$\frac{29}{35}$

$\frac{34}{35}$

$\frac{31}{35}$

$\frac{21}{35}$

Correct answer:

$\frac{31}{35}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 7 over 7 and the second fraction by 5 over 5.

$\frac{3}{5}*\frac{7}{7}=\frac{21}{35}$

$\frac{2}{7}*\frac{5}{5}=\frac{10}{35}$

Add these fractions together, to get the final answer.

$\frac{21}{35}+\frac{10}{35}=\frac{31}{35}$

Report an Error

Example Question #5 : Subtraction With Fractions

Subtract these fractions:

$\frac{2}{3}-\frac{1}{2}$

Possible Answers:

$\frac{5}{6}{}$

$\frac{1}{6}$

$\frac{1}{9}$

$\frac{2}{9}$

Correct answer:

$\frac{1}{6}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 2 over 2 and the second fraction by 3 over 3.

$\frac{2}{3}*\frac{2}{2}=\frac{4}{6}$

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

Subtract these fractions to get the final answer.

$\frac{4}{6}-\frac{3}{6}=\frac{1}{6}$

Report an Error

Example Question #8 : Subtraction With Fractions

Subtract these fractions:

$\frac{4}{5}-\frac{1}{3}$

Possible Answers:

$\frac{7}{15}$

$\frac{9}{12}$

$\frac{5}{12}$

$\frac{11}{12}$

Correct answer:

$\frac{7}{15}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 3 over 3 and the second fraction by 5 over 5.

$\frac{4}{5}*\frac{3}{3}=\frac{12}{15}$

$\frac{1}{3}*\frac{5}{5}=\frac{5}{15}$

Subtract the numerators of the fractions to get the final answer.

$\frac{12}{15}-\frac{5}{15}=\frac{7}{15}$

Report an Error

Example Question #31 : Operations With Fractions

Add these fractions:

$\frac{1}{7}+\frac{5}{6}$

Possible Answers:

$\frac{39}{42}$

$\frac{43}{42}$

$\frac{20}{21}$

$\frac{41}{42}$

Correct answer:

$\frac{41}{42}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 6 over 6 and the second fraction by 7 over 7.

$\frac{1}{7}*\frac{6}{6}=\frac{6}{42}$

$\frac{5}{6}*\frac{7}{7}=\frac{35}{42}$

Add the numerators of the fractions to get the final answer.

$\frac{6}{42}+\frac{35}{42}=\frac{41}{42}$

Report an Error

Example Question #42 : Fractions

Add these fractions:

$\frac{1}{12}+\frac{1}{2}$

Possible Answers:

$\frac{5}{12}$

$\frac{5}{6}{}$

$\frac{7}{12}$

$\frac{7}{6}$

Correct answer:

$\frac{7}{12}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the second fraction by 6 over 6.

$\frac{1}{2}*\frac{6}{6}=\frac{6}{12}$

Add the numerators of the fractions to get the final answer.

$\frac{1}{12}+\frac{6}{12}=\frac{7}{12}$

Report an Error

Example Question #32 : Fractions

Add these fractions:

$\frac{3}{7}+\frac{2}{5}$

Possible Answers:

$\frac{30}{35}$

$\frac{28}{35}$

$\frac{31}{35}$

$\frac{29}{35}$

Correct answer:

$\frac{29}{35}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 5 over 5 and the second fraction by 7 over 7.

$\frac{3}{7}*\frac{5}{5}=\frac{15}{35}$

$\frac{2}{5}*\frac{7}{7}=\frac{14}{35}$

Add the numerators of the fractions to get the final answer.

$\frac{15}{35}+\frac{14}{35}=\frac{29}{35}$

Report an Error

Example Question #43 : Fractions

Add these fractions:

$\frac{1}{10}+\frac{2}{5}$

Possible Answers:

$\frac{1}{3}$

$\frac{3}{5}$

$\frac{7}{10}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the second fraction by 2 over 2.

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

Add the numerators of these fractions and simplify to get the final answer.

$\\ \frac{1}{10}+\frac{4}{10}\\ \\=\frac{5}{10}=\frac{1\cdot 5}{2\cdot 5}=\frac{1}{2}$

Report an Error

Example Question #6 : Subtraction With Fractions

Subtract these fractions:

$\frac{3}{7}-\frac{1}{4}$

Possible Answers:

$\frac{9}{28}$

$\frac{11}{28}$

$\frac{3}{14}$

$\frac{5}{28}$

Correct answer:

$\frac{5}{28}$

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 4 over 4 and the second fraction by 7 over 7.

$\frac{3}{7}*\frac{4}{4}=\frac{12}{28}$

$\frac{1}{4}*\frac{7}{7}=\frac{7}{28}$

Subtract the numerators of these fractions to get the final answer.

$\frac{12}{28}-\frac{7}{28}=\frac{5}{28}$

Report an Error

View Algebra 2 Tutors

Michelle
Certified Tutor

University of Nevada-Las Vegas, Bachelor of Science, Mathematics.

View Algebra 2 Tutors

Dejuan
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Electrical Engineering.

View Algebra 2 Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Atlanta, Biology Tutors in Los Angeles, Spanish Tutors in New York City, Chemistry Tutors in Atlanta, GRE Tutors in Washington DC, Physics Tutors in Miami, SSAT Tutors in Seattle, Biology Tutors in Phoenix, French Tutors in Dallas Fort Worth, Spanish Tutors in Houston

Popular Courses & Classes

MCAT Courses & Classes in Washington DC, LSAT Courses & Classes in San Diego, SSAT Courses & Classes in Los Angeles, ISEE Courses & Classes in San Diego, ISEE Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in San Diego, ISEE Courses & Classes in Atlanta, ISEE Courses & Classes in Washington DC, ISEE Courses & Classes in Philadelphia, SSAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

LSAT Test Prep in New York City, SSAT Test Prep in Chicago, ISEE Test Prep in Phoenix, SAT Test Prep in Seattle, ISEE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Houston, SSAT Test Prep in Seattle, GRE Test Prep in Boston, MCAT Test Prep in Phoenix, GMAT Test Prep in Dallas Fort Worth

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 II : Fractions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #11 : Adding And Subtracting Fractions

Example Question #41 : Fractions

Example Question #14 : Adding And Subtracting Fractions

Example Question #5 : Subtraction With Fractions

Example Question #8 : Subtraction With Fractions

Example Question #31 : Operations With Fractions

Example Question #42 : Fractions

Example Question #32 : Fractions

Example Question #43 : Fractions

Example Question #6 : Subtraction With Fractions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: