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 #121 : Adding And Subtracting Fractions

Add the fractions: $\frac{1}{4}+\frac{3}{8}+\frac{1}{12}$

Possible Answers:

$\frac{17}{48}$

$\frac{19}{48}$

$\frac{2}{3}$

$\frac{17}{24}$

$\frac{17}{12}$

Correct answer:

$\frac{17}{24}$

Explanation:

In order to add the fractions, we will need to determine the least common denominator. Write out the multiples of the denominators.

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

8-[8,16,24]

12-[12,24]

The LCD is 24. Convert the fractions.

$\frac{1(6)}{4(6)}+\frac{3(3)}{8(3)}+\frac{1(2)}{12(2)}=\frac{ 6}{24}+\frac{9}{24}+\frac{2}{24}$

Combine the numerators, but do not change the denominators.

The answer is: $\frac{17}{24}$

Report an Error

Example Question #122 : Adding And Subtracting Fractions

Solve: $\frac{3}{5}-\frac{2}{7} -\frac{1}{2}$

Possible Answers:

$\frac{2}{13}$

$-\frac{13}{70}$

$-\frac{13}{35}$

$\frac{4}{35}$

$\frac{13}{35}$

Correct answer:

$-\frac{13}{70}$

Explanation:

Identify the least common denominator.

(5)(7)(2) =70

Convert the fractions.

$\frac{3}{5}-\frac{2}{7} -\frac{1}{2} =\frac{3(7)(2)}{5(7)(2)}-\frac{2(5)(2)}{7(5)(2)} -\frac{1(5)(7)}{2(5)(7)}$

Simplify the terms.

$\frac{42}{70}-\frac{20}{70}-\frac{35}{70} = -\frac{13}{70}$

The answer is: $-\frac{13}{70}$

Report an Error

Example Question #151 : Fractions

Add the following fractions: $\frac{1}{5x}+\frac{3}{7}+\frac{10}{x^2}$

Possible Answers:

$\frac{15x^2+7x}{35x^2+350}$

$\frac{15x^2+7x+350}{35x^2}$

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

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

$\textup{The answer is not given.}$

Correct answer:

$\frac{15x^2+7x+350}{35x^2}$

Explanation:

Determine the least common denominator.

The first two denominators do not have an x^2 . After all denominators have an x^2 term, the coefficients of the three denominators are: 5,7,1

The least common denominator would be: 35x^2

Convert all fractions.

$\frac{1}{5x}+\frac{3}{7}+\frac{10}{x^2}=\frac{1(7x)}{5x(7x)}+\frac{3(5x^2)}{7(5x^2)}+\frac{10(35)}{x^2 (35)}$

Simplify the fractions.

The answer is: $\frac{15x^2+7x+350}{35x^2}$

Report an Error

Example Question #124 : Adding And Subtracting Fractions

Add the fractions: $\frac{4}{9}+\frac{1}{3}+\frac{5}{6}$

Possible Answers:

$\frac{17}{9}$

$\frac{29}{18}$

$\frac{19}{18}$

$\frac{3}{13}$

$\textup{The answer is not given.}$

Correct answer:

$\frac{29}{18}$

Explanation:

To add the fractions we need the least common denominator. Write the multiples for each denominator.

9-[9,18]

3-[3,6,9,12,15,18]

6-[6,12,18]

Convert the fractions with a denominator of 18, since this is the least common denominator.

$\frac{4}{9}+\frac{1}{3}+\frac{5}{6}=\frac{4(2)}{9(2)}+\frac{1(6)}{3(6)}+\frac{5(3)}{6(3)}$

Simplify the fractions.

$\frac{8}{18}+\frac{6}{18}+\frac{15}{18} = \frac{29}{18}$

The answer is: $\frac{29}{18}$

Report an Error

Example Question #125 : Adding And Subtracting Fractions

Subtract: $\frac{3}{27}-\frac{9}{30}-\frac{12}{60}$

Possible Answers:

$-\frac{7}{15}$

$-\frac{7}{18}$

$-\frac{1}{3}$

$-\frac{7}{8}$

$\textup{The answer is not given.}$

Correct answer:

$-\frac{7}{18}$

Explanation:

In order to subtract the fractions, we should reduce all the fractions first.

$\frac{3}{27}-\frac{9}{30}-\frac{12}{60} = \frac{1}{9}-\frac{3}{10}-\frac{1}{5}$

Convert the reduced fractions to a common denominator. By visualization, the common denominator is 90, since this value is divisible by all three numbers.

$\frac{1(10)}{9(10)}-\frac{3(9)}{10(9)}-\frac{1(18)}{5(18)}$

Simplify the top and bottom.

$\frac{10}{90}-\frac{27}{90}-\frac{18}{90} = -\frac{35}{90}$

Reduce this fraction.

$-\frac{35}{90} = -\frac{7\times 5}{18\times 5} = -\frac{7}{18}$

The answer is: $-\frac{7}{18}$

Report an Error

Example Question #122 : Adding And Subtracting Fractions

Add the fractions: $\frac{8}{11}+\frac{1}{66}$

Possible Answers:

$\frac{9}{11}$

$\frac{49}{66}$

$\frac{3}{22}$

$\frac{9}{77}$

$\textup{The answer is not given.}$

Correct answer:

$\frac{49}{66}$

Explanation:

Change the first fraction so that both fractions have the same denominator.

Multiply the first fraction by $\frac{6}{6}$ in order to change the fraction.

$\frac{8}{11}(\frac{6}{6})+\frac{1}{66} = \frac{48}{66}+\frac{1}{66} = \frac{49}{66}$

The answer is: $\frac{49}{66}$

Report an Error

Example Question #126 : Adding And Subtracting Fractions

Add the fractions: $\frac{2}{3}+\frac{8}{9}+2\frac{1}{6}$

Possible Answers:

$\frac{41}{12}$

$\frac{17}{9}$

$\frac{67}{18}$

$\frac{35}{18}$

$\frac{23}{9}$

Correct answer:

$\frac{67}{18}$

Explanation:

Change the mixed fraction to an improper fraction.

$1\frac{1}{6} = \frac{6(2)+1}{6} = \frac{13}{6}$

Rewrite the expression.

$\frac{2}{3}+\frac{8}{9}+\frac{13}{6}$

Convert all of the terms to common denominator. A common denominator is 18 since this value is divisible by all denominators given.

$\frac{2(6)}{3(6)}+\frac{8(2)}{9(2)}+\frac{13(3)}{6(3)}$

Simplify all the terms.

$\frac{12}{18}+\frac{16}{18}+\frac{39}{18} = \frac{67}{18}$

The answer is: $\frac{67}{18}$

Report an Error

Example Question #151 : Fractions

Compute the fractions: $\frac{7}{2}-\frac{3}{8}+\frac{3}{4}$

Possible Answers:

$\frac{9}{4}$

$\frac{31}{8}$

$\frac{31}{4}$

$\frac{9}{8}$

Correct answer:

$\frac{31}{8}$

Explanation:

Convert the fractions to a common denominator.

The least common denominator is eight.

$\frac{7(4)}{2(4)}-\frac{3}{8}+\frac{3(2)}{4(2)} = \frac{28}{8}-\frac{3}{8}+\frac{6}{8}$

Find the sum now that the denominators are equal.

The answer is: $\frac{31}{8}$

Report an Error

Example Question #127 : Adding And Subtracting Fractions

Add the fractions: $\frac{7}{4}+\frac{9}{8}+\frac{1}{12}$

Possible Answers:

$\frac{11}{3}$

$\textup{The answer is not given.}$

$\frac{11}{8}$

$\frac{71}{24}$

$\frac{71}{12}$

Correct answer:

$\frac{71}{24}$

Explanation:

Determine the least common denominator. Write out the multiples of each denominator.

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

8-[8,16,24]

12-[12,24]

Convert all fractions to a common denominator of 24.

$\frac{7}{4}+\frac{9}{8}+\frac{1}{12} = \frac{7(6)}{4(6)}+\frac{9(3)}{8(3)}+\frac{1(2)}{12(2)}$

Simplify the fractions.

$\frac{42}{24}+\frac{27}{24}+\frac{2}{24} = \frac{71}{24}$

The answer is: $\frac{71}{24}$

Report an Error

Example Question #131 : Adding And Subtracting Fractions

Add the fractions: $\frac{7}{9}-\frac{1}{81}$

Possible Answers:

$\frac{11}{9}$

$\frac{23}{27}$

$\frac{62}{81}$

$\frac{13}3$

$\frac{51}{81}$

Correct answer:

$\frac{62}{81}$

Explanation:

Change the first fraction so that both denominators are common. This will allow us to change the numerator.

$\frac{7}{9}-\frac{1}{81} = \frac{7(9)}{9(9)}-\frac{1}{81}$

Simplify the fractions.

$\frac{63}{81}-\frac{1}{81} = \frac{62}{81}$

The answer is: $\frac{62}{81}$

Report an Error

View Algebra 2 Tutors

Abhisek
Certified Tutor

University of Florida, Bachelor of Engineering, Computer Science.

View Algebra 2 Tutors

Dilip
Certified Tutor

University of Calcutta, Bachelor of Science, Physics. Indiana Institute of Technology, Master of Science, Physics.

View Algebra 2 Tutors

Bobby
Certified Tutor

University of Houston - Downtown, Bachelor of Science, Applied Mathematics.

All Algebra II Resources

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

Popular Subjects

Algebra Tutors in New York City, ISEE Tutors in Seattle, Biology Tutors in Phoenix, English Tutors in San Francisco-Bay Area, SSAT Tutors in Atlanta, Reading Tutors in Philadelphia, Reading Tutors in Miami, Statistics Tutors in Los Angeles, Calculus Tutors in Miami, Spanish Tutors in Denver

Popular Courses & Classes

Spanish Courses & Classes in New York City, Spanish Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Washington DC, LSAT Courses & Classes in Washington DC, SSAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Miami, ISEE Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Phoenix, LSAT Courses & Classes in Denver, SSAT Courses & Classes in Seattle

Popular Test Prep

MCAT Test Prep in Phoenix, ISEE Test Prep in San Diego, GMAT Test Prep in Los Angeles, LSAT Test Prep in Atlanta, SAT Test Prep in Denver, GRE Test Prep in San Diego, GRE Test Prep in Atlanta, LSAT Test Prep in Washington DC, SSAT Test Prep in New York City, LSAT 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 : Fractions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #121 : Adding And Subtracting Fractions

Example Question #122 : Adding And Subtracting Fractions

Example Question #151 : Fractions

Example Question #124 : Adding And Subtracting Fractions

Example Question #125 : Adding And Subtracting Fractions

Example Question #122 : Adding And Subtracting Fractions

Example Question #126 : Adding And Subtracting Fractions

Example Question #151 : Fractions

Example Question #127 : Adding And Subtracting Fractions

Example Question #131 : 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: