Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Adding and Subtracting 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 #101 : Adding And Subtracting Fractions

$\frac{4}{9}-\frac{2}{7}=$

Possible Answers:

$\frac{10}{63}$

$\frac{8}{16}$

$2\frac{14}{16}$

$\frac{6}{63}$

$\frac{6}{16}$

Correct answer:

$\frac{10}{63}$

Explanation:

Convert each fraction to incorporate a common denominator. The least common denominator of 9 and 7 is 63. Multiply the first fraction by 7 divided by 7 and the second by 9 divided by 9 . Then add or subtract the resulting fractions.

Report an Error

Example Question #4471 : Algebra Ii

$\frac{6}{8}+\frac{5}{7}=$

Possible Answers:

$2\frac{2}{15}$

$5\frac{7}{15}$

$\frac{11}{15}$

$1\frac{26}{56}$

$1\frac{4}{7}$

Correct answer:

$1\frac{26}{56}$

Explanation:

Convert each fraction to incorporate a common denominator. The least common denominator of 8 and 7 is 56. Multiply the first fraction by 7 divided by 7 and the second by 8 divided by 8 . Then add or subtract the resulting fractions.

Report an Error

Example Question #4472 : Algebra Ii

$\frac{1}{6}+\frac{4}{5}=$

Possible Answers:

$\frac{4}{11}$

$\frac{5}{11}$

$2\frac{7}{11}$

$\frac{29}{30}$

$1\frac{1}{5}$

Correct answer:

$\frac{29}{30}$

Explanation:

Convert each fraction to incorporate a common denominator. The least common denominator of 6 and 5 is 30. Multiply the first fraction by 5 divided by 5 and the second by 6 divided by 6 . Then add or subtract the resulting fractions.

Report an Error

Example Question #4473 : Algebra Ii

$\frac{2}{3}+\frac{3}{8}=$

Possible Answers:

$\frac{6}{11}$

$\frac{5}{11}$

$1\frac{1}{24}$

$\frac{5}{8}$

$\frac{25}{24}$

Correct answer:

$1\frac{1}{24}$

Explanation:

Convert each fraction to incorporate a common denominator. The least common denominator of 3 and 8 is 24. Multiply the first fraction by 8 divided by 8 and the second by 3 divided by 3 . Then add or subtract the resulting fractions.

Report an Error

Example Question #4474 : Algebra Ii

$\frac{9}{11}+\frac{1}{3}=$

Possible Answers:

$2\frac{10}{14}$

$1\frac{5}{33}$

$3\frac{1}{3}$

$\frac{15}{33}$

$\frac{10}{14}$

Correct answer:

$1\frac{5}{33}$

Explanation:

Convert each fraction to incorporate a common denominator. The least common denominator of 11 and 3 is 33. Multiply the first fraction by 3 divided by 3 and the second by 11 divided by 11 . Then add or subtract the resulting fractions.

Report an Error

Example Question #4475 : Algebra Ii

$\frac{1}{9}+\frac{3}{6}=$

Possible Answers:

$\frac{4}{15}$

$\frac{11}{18}$

$\frac{4}{6}$

$\frac{3}{15}$

Correct answer:

$\frac{11}{18}$

Explanation:

Convert each fraction to incorporate a common denominator. The least common denominator of 9 and 6 is 18. Multiply the first fraction by 2 divided by 2 and the second by 3 divided by 3 . Then add or subtract the resulting fractions.È

Report an Error

Example Question #1814 : Mathematical Relationships And Basic Graphs

Add the fractions: $\frac{3}{8}+\frac{7}{12}+\frac{1}{24}$

Possible Answers:

$\frac{17}{12}$

$\frac{27}{4}$

$\frac{23}{12}$

Correct answer:

Explanation:

In order to add the numerators of the fractions, we will need a least common denominator. The LCD can be visually identified as 24, since this is the least number that is divisible by all the denominators.

Convert the fractions.

$\frac{3}{8}+\frac{7}{12}+\frac{1}{24}=\frac{3(3)}{8(3)}+\frac{7(2)}{12(2)}+\frac{1}{24}$

Simplify the numerator.

$\frac{9}{24}+\frac{14}{24}+\frac{1}{24} = \frac{24}{24}=1$

The answer is:

Report an Error

Example Question #107 : Adding And Subtracting Fractions

Jimmy eats a pie. At the start, the pie starts as one whole. He ate three fifths of the whole pie for lunch, and one tenth of the whole pie for dinner. How much of the pie remains?

Possible Answers:

$\frac{3}{20}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{1}{2}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

Set up an expression to solve how much pizza Jimmy will have left.

$1-\frac{3}{5}-\frac{1}{10}$

Convert each term to the least common denominator, 10.

$\frac{10}{10}-\frac{6}{10}-\frac{1}{10} = \frac{3}{10}$

The answer is: $\frac{3}{10}$

Report an Error

Example Question #108 : Adding And Subtracting Fractions

Add the fractions: $\frac{3}{4}+\frac{5}{14}$

Possible Answers:

$\frac{31}{14}$

$\frac{31}{8}$

$\frac{7}{4}$

$\frac{17}{14}$

$\frac{31}{28}$

Correct answer:

$\frac{31}{28}$

Explanation:

Determine the least common denominator by writing out the multiples for each denominators.

4-[4,8,12,16,20,24,28]

14-[14,28]

The fractions can be converted with a denominator of 28.

$\frac{3}{4}+\frac{5}{14} = \frac{21}{28}+\frac{10}{28} = \frac{31}{28}$

The answer is: $\frac{31}{28}$

Report an Error

Example Question #107 : Adding And Subtracting Fractions

Add the fractions: $\frac{11}{7}+\frac{13}{8}+\frac{1}{28}$

Possible Answers:

$\frac{47}{28}$

$\frac{181}{56}$

$\frac{87}{28}$

$\frac{33}{23}$

$\frac{15}{7}$

Correct answer:

$\frac{181}{56}$

Explanation:

In order to determine the least common denominator of the three fractions, we can write out the multiples of each term.

7-[7,14,21,28...56]

8-[8,16,24,32,40,48,56]

28-[28,56]

Convert each fraction to a denominator of 56.

$\frac{11}{7}+\frac{13}{8}+\frac{1}{28} = \frac{11\times 8}{56}+ \frac{13\times 7}{56}+ \frac{2}{56}$

Simplify the numerator.

$\frac{88}{56}+ \frac{91}{56}+ \frac{2}{56}= \frac{181}{56}$

The answer is: $\frac{181}{56}$

Report an Error

View Algebra 2 Tutors

Sharon
Certified Tutor

Tabor College, Bachelor of Science, Mathematics Teacher Education. Tabor College, Masters in Education, Education.

View Algebra 2 Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Algebra 2 Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All Algebra II Resources

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

Popular Subjects

Chemistry Tutors in Boston, French Tutors in Seattle, Math Tutors in New York City, Spanish Tutors in Philadelphia, Calculus Tutors in Atlanta, Biology Tutors in Chicago, Reading Tutors in New York City, Computer Science Tutors in Boston, GMAT Tutors in Phoenix, Spanish Tutors in Miami

Popular Courses & Classes

Spanish Courses & Classes in New York City, LSAT Courses & Classes in New York City, MCAT Courses & Classes in San Diego, ISEE Courses & Classes in Denver, ACT Courses & Classes in Denver, SAT Courses & Classes in New York City, Spanish Courses & Classes in Phoenix, GMAT Courses & Classes in Boston, SSAT Courses & Classes in Atlanta, ACT Courses & Classes in Philadelphia

Popular Test Prep

MCAT Test Prep in Miami, ACT Test Prep in Denver, LSAT Test Prep in San Diego, GRE Test Prep in San Diego, GRE Test Prep in Denver, ISEE Test Prep in Atlanta, ISEE Test Prep in Miami, ACT Test Prep in New York City, LSAT Test Prep in Atlanta, SAT 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

Algebra II : Adding and Subtracting Fractions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #101 : Adding And Subtracting Fractions

Example Question #4471 : Algebra Ii

Example Question #4472 : Algebra Ii

Example Question #4473 : Algebra Ii

Example Question #4474 : Algebra Ii

Example Question #4475 : Algebra Ii

Example Question #1814 : Mathematical Relationships And Basic Graphs

Example Question #107 : Adding And Subtracting Fractions

Example Question #108 : Adding And Subtracting Fractions

Example Question #107 : Adding And Subtracting Fractions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: