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 #211 : Fractions

Multiply: $\frac{2}{7}\times \frac{14}{30}$

Possible Answers:

$\frac{79}{105}$

$\frac{4}{105}$

$\frac{11}{15}$

$\frac{2}{15}$

$\frac{7}{15}$

Correct answer:

$\frac{2}{15}$

Explanation:

Instead of multiplying the numerator with numerator and denominator with denominator, find the common factors of the terms in the fractions.

Write out the common factors in the fractions.

$\frac{2}{7}\times \frac{14}{30} = \frac{2}{7}\times \frac{7\times 2}{2\times 15}$

Cancel out the common terms in the numerator and denominator.

The answer is $\frac{2}{15}$ .

Report an Error

Example Question #41 : Multiplying And Dividing Fractions

A recipe for a cake calls for two-thirds a cup of flower per cake. If you have 12 cups of flour, how many cakes can you make?

Possible Answers:

Can not be determined

Correct answer:

Explanation:

The key here is to recognize that you are dividing twelve by two-thirds because that will give you the total number of cakes that twelve cups of flour.

So:

$\frac{\frac{12}{1}}{\frac{2}{3}}$

When you divide fractions, it is equivalent to multiplying by the reciprocal of one of the divisor.

Which looks like this:

$\frac{12}{1}*\frac{3}{2}=18$

Report an Error

Example Question #42 : Multiplying And Dividing Fractions

Simplify the following fraction operation:

$\frac{6}{7}*\frac{14}{3}\div\frac{4}{7}$

Possible Answers:

$\frac{14}{3}$

$\frac{3}{7}$

Correct answer:

Explanation:

Simplify the following fraction operation:

$\frac{6}{7}*\frac{14}{3}\div\frac{4}{7}$

We can take this problem one step at a time.

Let's start with the first two fractions. When multiplying fractions, we simply need to multiply stright across. However, we can make this easier by first simplifying diagonally.

$\frac{6}{7}*\frac{14}{3}=\frac{2}{1}*\frac{2}{1}=\frac{4}{1}$

Note that we can simplify the 14 and the 7 because 14 is divisible by 7. Same with the 6 and the 3.

Next, let's do the division step. To divide fractions, we multiply by the reciprocal.

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

So our answer is 7.

Report an Error

Example Question #42 : Multiplying And Dividing Fractions

$\frac{9}{11}\cdot \frac{121}{108}$

Possible Answers:

$\frac{1}{12}$

$\frac{11}{12}$

$\frac{12}{11}$

$\frac{1}{11}$

$\frac{5}{12}$

Correct answer:

$\frac{11}{12}$

Explanation:

Remember to simplify before multiplying straight across--it makes finding your final answer much easier. 9 goes into both 9 and 108, while 11 goes into both 11 and 121. Multiply straight across to get your answer: $\frac{11}{12}$

Report an Error

Example Question #43 : Multiplying And Dividing Fractions

$\frac{4x}{y}\div \frac{22}{y^2}$

Possible Answers:

$\frac{2y}{11}$

2xy

$\frac{xy}{11}$

$\frac{2xy}{11}$

Correct answer:

$\frac{2xy}{11}$

Explanation:

Recall that when dividing fractions, you have to flip the second fraction (use its reciprocal) and then multiply the two: $\frac{4x}{y}\times \frac{y^2}{22}$ . See if you can simplify diagonally before you multiply straight across to get your answer of $\frac{2xy}{11}$ .

Report an Error

Example Question #45 : Multiplying And Dividing Fractions

Simplify the following:

$\frac{5}{6}\left(\frac{12}{5}\div \frac{6}{7}\right)$

Possible Answers:

$\frac{7}{3}$

$\frac{144}{17}$

$\frac{13}{14}$

$\frac{3}{5}$

Correct answer:

$\frac{7}{3}$

Explanation:

Simplify the following:

$\frac{5}{6}\left(\frac{12}{5}\div \frac{6}{7}\right)$

Let's begin by recalling that when dividing fractions, we need to multiply by the reciprocal, then just simplify:

$\frac{5}{6}\left(\frac{12}{5}\ast \frac{7}{6}\right)=\frac{5}{6}\left(\frac{14}{5}\right)=\frac{14}{6}=\frac{7}{3}$

So our answer is:

$\frac{7}{3}$

Report an Error

Example Question #215 : Fractions

Simplify the following fraction expression:

$(\frac{4}{7}*\frac{12}{13})\div \frac{100}{91}$

Possible Answers:

$\frac{12}{25}$

$\frac{13}{33}$

$4\frac{4}{7}$

$2\frac{1}{12}$

Correct answer:

$\frac{12}{25}$

Explanation:

Simplify the following fraction expression:

$(\frac{4}{7}*\frac{12}{13})\div \frac{100}{91}$

Let's begin by simplifying the multiplication inside the parentheses.

$(\frac{48}{91})\div \frac{100}{91}$

Next, take the reciprocal of the second fraction and multiply (because when dividing fractions we really want to multiply by the reciprocal)

$(\frac{48}{91})\div \frac{100}{91}=\frac{48}{91}*\frac{91}{100}$

Which will become:

$\frac{48}{91}*\frac{91}{100}=\frac{48}{100}=\frac{12}{25}$

So our answer is:

$\frac{12}{25}$

Report an Error

Example Question #44 : Multiplying And Dividing Fractions

Simplify the following:

$\frac{\frac{3}{4}}{\frac{4}{3}}$

Possible Answers:

$\frac{16}{9}$

$\frac{9}{16}$

$\frac{4}{9}$

Correct answer:

$\frac{9}{16}$

Explanation:

This is a dividing fractions problem. The trick here is to know that you need to flip one of your fractions and then multiply straight across.

When you do this it will look like this:

$\frac{3}{4}*\frac{3}{4}$ $=\frac{9}{16}$

Report an Error

Example Question #44 : Multiplying And Dividing Fractions

Multiply the fractions:

$\frac{2}{5}\cdot\frac{2}{3}$

Possible Answers:

$\frac{6}{15}$

$\frac{8}{15}$

$\frac{4}{15}$

$\frac{1}{5}$

Correct answer:

$\frac{4}{15}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{2}{5}\cdot \frac{2}{3}=\frac{4}{15}$

Report an Error

Example Question #45 : Multiplying And Dividing Fractions

Multiply the fractions:

$\frac{3}{7}\cdot \frac{14}{23}$

Possible Answers:

$\frac{6}{23}$

$\frac{9}{23}$

$\frac{10}{23}$

$\frac{7}{23}$

Correct answer:

$\frac{6}{23}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{3}{7}\cdot \frac{14}{23}=\frac{42}{161}\div \frac{7}{7}=\frac{6}{23}$

Report an Error

View Algebra 2 Tutors

Thien
Certified Tutor

University of Mary Washington, Bachelor of Science, Biology, General.

View Algebra 2 Tutors

Katie
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor of Science, Economics.

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

MCAT Tutors in Houston, French Tutors in Denver, French Tutors in New York City, LSAT Tutors in Boston, GMAT Tutors in Atlanta, Statistics Tutors in Dallas Fort Worth, Computer Science Tutors in Phoenix, Spanish Tutors in Dallas Fort Worth, Physics Tutors in Dallas Fort Worth, Calculus Tutors in Chicago

Popular Courses & Classes

GMAT Courses & Classes in Philadelphia, SAT Courses & Classes in Denver, GMAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in San Diego, GRE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Houston, Spanish Courses & Classes in Seattle, GMAT Courses & Classes in Boston

Popular Test Prep

GMAT Test Prep in Phoenix, MCAT Test Prep in Philadelphia, ISEE Test Prep in Boston, ACT Test Prep in Houston, LSAT Test Prep in San Francisco-Bay Area, SAT Test Prep in New York City, GMAT Test Prep in Philadelphia, MCAT Test Prep in Boston, SSAT Test Prep in Washington DC, 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 : Fractions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #211 : Fractions

Example Question #41 : Multiplying And Dividing Fractions

Example Question #42 : Multiplying And Dividing Fractions

Example Question #42 : Multiplying And Dividing Fractions

Example Question #43 : Multiplying And Dividing Fractions

Example Question #45 : Multiplying And Dividing Fractions

Example Question #215 : Fractions

Example Question #44 : Multiplying And Dividing Fractions

Example Question #44 : Multiplying And Dividing Fractions

Example Question #45 : Multiplying And Dividing Fractions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: