We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

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 #251 : Fractions

Multiply the fractions: $\frac{33}{16} \times \frac{8}{57}$

Possible Answers:

$\frac{11}{38}$

$\frac{11}{57}$

$\frac{11}{19}$

$\frac{47}{152}$

$\frac{11}{152}$

Correct answer:

$\frac{11}{38}$

Explanation:

Write out the common factors for each number instead of multiplying the numerator with numerator and denominator with denominator.

$\frac{33}{16} \times \frac{8}{57} = \frac{3\times 11}{4\times 2\times 2} \times \frac{4 \times 2}{19\times 3}$

Cancel out the common terms. Write the remaining terms.

$\frac{11}{2\times 19}= \frac{11}{38}$

The answer is: $\frac{11}{38}$

Report an Error

Example Question #4592 : Algebra Ii

Multiply: $\frac{2}{11}\times \frac{77}{8}\times \frac{4}{5}$

Possible Answers:

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

$\frac{55}{7}$

$\frac{7}{5}$

$\frac{7}{4}$

$\frac{4}{55}$

Correct answer:

$\frac{7}{5}$

Explanation:

Rewrite the fractions with factors so that the common terms in the numerator and denominator can be canceled.

$\frac{2}{11}\times \frac{77}{8}\times \frac{4}{5}=\frac{2}{11}\times \frac{7 \times 11}{2\times 4}\times \frac{4}{5}$

Cancel all common terms.

The answer is: $\frac{7}{5}$

Report an Error

Example Question #4593 : Algebra Ii

Divide the fractions: $\frac{3}{\frac{5}{2}} \div \frac{\frac{2}{4}}{2}$

Possible Answers:

$\frac{5}{12}$

$\frac{24}{5}$

$\frac{3}{10}$

Correct answer:

$\frac{24}{5}$

Explanation:

In order to divide, first simplify the complex fractions.

$\frac{3}{\frac{5}{2}}= 3 \div \frac{5}{2} = 3\times \frac{2}{5} = \frac{6}{5}$

$\frac{\frac{2}{4}}{2} = \frac{2}{4} \div 2 = \frac{2}{4} \times \frac{1}{2} = \frac{1}{4}$

Rewrite the expression.

$\frac{3}{\frac{5}{2}} \div \frac{\frac{2}{4}}{2} = \frac{6}{5} \div \frac{1}{4} = \frac{6}{5} \times 4$

The answer is: $\frac{24}{5}$

Report an Error

Example Question #4594 : Algebra Ii

Divide: $\frac{9}{4}\div\frac{10}{3}$

Possible Answers:

$\frac{2}{15}$

$\frac{9}{4}$

$\frac{27}{40}$

$\frac{15}{2}$

$\frac{40}{27}$

Correct answer:

$\frac{27}{40}$

Explanation:

Convert the division sign to multiplication and take the reciprocal of the second term. The numerator and denominators can then be multiplied together.

$\frac{9}{4}\div\frac{10}{3}=\frac{9}{4} \times\frac{3}{10} = \frac{27}{40}$

This cannot be simplified any further.

The answer is: $\frac{27}{40}$

Report an Error

Example Question #4591 : Algebra Ii

Divide the fractions: $\frac{10}{3}\div\frac{7}{9}$

Possible Answers:

$\frac{30}{7}$

$\frac{27}{70}$

$\frac{17}{3}$

$\frac{70}{27}$

$\frac{7}{30}$

Correct answer:

$\frac{30}{7}$

Explanation:

Change the division sign in the expression and take the reciprocal of the second term.

$\frac{10}{3}\div\frac{7}{9} = \frac{10}{3}\times\frac{9}{7}$

Reduce the three and nine in the numerator and denominator.

The fractions become:

$\frac{10}{1} \times \frac{3}{7} = \frac{30}{7}$

The answer is: $\frac{30}{7}$

Report an Error

Example Question #81 : Multiplying And Dividing Fractions

Divide $\frac{3}{5}$ with $\frac{9}{8}$ .

Possible Answers:

$\frac{40}{27}$

$\frac{27}{40}$

$\frac{8}{15}$

$\frac{15}{8}$

$\frac{10}{3}$

Correct answer:

$\frac{8}{15}$

Explanation:

Write the expression of division using a division sign. Avoid writing the expression as a complex fraction.

$\frac{3}{5} \div \frac{9}{8}$

Change the division sign to a multiplication and take the reciprocal of the second term.

$\frac{3}{5} \times \frac{8}{9}$

Simplify the fractions by reducing the numerator and denominator.

$\frac{3}{5} \times \frac{8}{9} = \frac{8}{15}$

The answer is: $\frac{8}{15}$

Report an Error

Example Question #81 : Multiplying And Dividing Fractions

Multiply: $\frac{9}{5} \times \frac{12}{5}$

Possible Answers:

$\frac{12}{5}$

$\frac{11}{25}$

$\frac{108}{25}$

$\frac{25}{108}$

$\frac{21}{25}$

Correct answer:

$\frac{108}{25}$

Explanation:

Multiply the numerator with the numerator and the denominator with the denominator.

$\frac{9}{5} \times \frac{12}{5} = \frac{108}{25}$

This fraction cannot be simplified any further.

The answer is: $\frac{108}{25}$

Report an Error

Example Question #4598 : Algebra Ii

Divide the fractions: $\frac{\frac{1}{3}\div\frac{1}{9}}{\frac{7}{2}}$

Possible Answers:

$\frac{7}{54}$

$\frac{2}{189}$

$\frac{6}{7}$

$\frac{54}{7}$

$\frac{13}{7}$

Correct answer:

$\frac{6}{7}$

Explanation:

Evaluate the top term first. We can change the sign to multiplication and take the reciprocal of the second term.

$\frac{1}{3}\div\frac{1}{9} = \frac{1}{3}\times \frac{9}{1} = 3$

Rewrite the fraction.

$\frac{\frac{1}{3}\div\frac{1}{9}}{\frac{7}{2}}=\frac{3}{\frac{7}{2}}$

Write the complex fraction using the division sign and repeat the process.

$\frac{3}{\frac{7}{2}}= 3\div \frac{7}{2}= 3\times \frac{2}{7} =\frac{6}{7}$

The answer is: $\frac{6}{7}$

Report an Error

Example Question #4599 : Algebra Ii

Divide the following fractions: $\frac{\frac{4}{9}}{\frac{8}{7}} \div \frac{3}{\frac{2}{3}}$

Possible Answers:

$\frac{4}{7}$

$\frac{64}{567}$

$\frac{19}{81}$

$\frac{7}{81}$

$\frac{9}{7}$

Correct answer:

$\frac{7}{81}$

Explanation:

In order to solve this, we will need to evaluate term by term. First rewrite the complex fractions by using a division sign.

$\frac{\frac{4}{9}}{\frac{8}{7}} =\frac{4}{9} \div\frac{8}{7}$

Change the sign from a division to multiplication and take the reciprocal of the second term.

$\frac{4}{9} \div\frac{8}{7} = \frac{4}{9} \times\frac{7}{8} = \frac{28}{72} =\frac{7\times 4}{18\times 4}=\frac{7}{18}$

Evaluate the second complex fraction.

$\frac{3}{\frac{2}{3}} = 3\div \frac{2}{3} = 3\times \frac{3}{2} = \frac{9}{2}$

This means that:

$\frac{\frac{4}{9}}{\frac{8}{7}} \div \frac{3}{\frac{2}{3}} = \frac{7}{18}\div \frac{9}{2}=\frac{7}{18}\times \frac{2}{9} = \frac{7}{9}\times\frac{1}{9}$

The answer is: $\frac{7}{81}$

Report an Error

Example Question #4600 : Algebra Ii

Multiply the following fractions: $\frac{3}{13}\times \frac{39}{8}\times \frac{64}{27}$

Possible Answers:

$\frac{8}{3}$

$\frac{8}{9}$

$\frac{13}{3}$

$\frac{16}{3}$

Correct answer:

$\frac{8}{3}$

Explanation:

Instead of multiplying the numerators and denominators together, we can rewrite each term by the common factors.

$\frac{3}{13}\times \frac{39}{8}\times \frac{64}{27}=\frac{3}{13}\times \frac{13\cdot 3}{2\times 4}\times \frac{(2\times 2)\times 4\times4}{3\times 3\times 3}$

Cancel all the common terms.

The answer is: $\frac{8}{3}$

Report an Error

View Algebra 2 Tutors

Rachel
Certified Tutor

University of Arkansas at Little Rock, Bachelor in Arts, Mathematics.

View Algebra 2 Tutors

Vidur
Certified Tutor

Johns Hopkins University, Bachelor of Science, Applied Mathematics.

View Algebra 2 Tutors

John
Certified Tutor

Anderson University, Bachelor in Arts, Music Performance.

All Algebra II Resources

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

Popular Subjects

Reading Tutors in Denver, ACT Tutors in San Francisco-Bay Area, SAT Tutors in Philadelphia, ISEE Tutors in Boston, English Tutors in Chicago, Spanish Tutors in Phoenix, Computer Science Tutors in Washington DC, MCAT Tutors in Chicago, LSAT Tutors in Phoenix, Calculus Tutors in Seattle

Popular Courses & Classes

SAT Courses & Classes in Chicago, GMAT Courses & Classes in San Diego, GRE Courses & Classes in Phoenix, GRE Courses & Classes in Philadelphia, GMAT Courses & Classes in Atlanta, SSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Boston, Spanish Courses & Classes in New York City, Spanish Courses & Classes in Boston, GMAT Courses & Classes in Chicago

Popular Test Prep

SSAT Test Prep in Phoenix, MCAT Test Prep in Miami, ISEE Test Prep in Washington DC, SAT Test Prep in Houston, MCAT Test Prep in Atlanta, LSAT Test Prep in Seattle, ACT Test Prep in New York City, GMAT Test Prep in Los Angeles, GMAT Test Prep in Atlanta, GMAT Test Prep in Boston

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 : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #251 : Fractions

Example Question #4592 : Algebra Ii

Example Question #4593 : Algebra Ii

Example Question #4594 : Algebra Ii

Example Question #4591 : Algebra Ii

Example Question #81 : Multiplying And Dividing Fractions

Example Question #81 : Multiplying And Dividing Fractions

Example Question #4598 : Algebra Ii

Example Question #4599 : Algebra Ii

Example Question #4600 : Algebra Ii

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: