We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Basic Arithmetic : Operations with Fractions

Study concepts, example questions & explanations for Basic Arithmetic

Create An Account

All Basic Arithmetic Resources

6 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 Next →

Example Question #181 : Fractions

Multiply these fractions:

$\frac{4}{9}*\frac{3}{7}$

Possible Answers:

$\frac{3}{21}$

$\frac{5}{21}$

$\frac{6}{21}$

$\frac{4}{21}$

Correct answer:

$\frac{4}{21}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{4}{9}*\frac{3}{7}=\frac{4*3}{9*7}=\frac{12}{63}$

Simply the fraction to get the final answer:

$\frac{12}{63}\div \frac{3}{3}=\frac{4}{21}$

Report an Error

Example Question #191 : Basic Arithmetic

Multiply these fractions:

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

Possible Answers:

$\frac{1}{25}$

$\frac{2}{25}$

$\frac{1}{50}$

$\frac{3}{25}$

Correct answer:

$\frac{1}{25}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{10}*\frac{2}{5}=\frac{1*2}{10*5}=\frac{2}{50}$

Simply the fraction to get the final answer:

$\frac{2}{50}\div \frac{2}{2}=\frac{1}{25}$

Report an Error

Example Question #21 : Multiplying And Dividing Fractions

Multiply these fractions:

$\frac{1}{12}*\frac{4}{5}$

Possible Answers:

$\frac{4}{15}$

$\frac{2}{15}$

$\frac{1}{5}$

$\frac{1}{15}$

Correct answer:

$\frac{1}{15}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{12}*\frac{4}{5}=\frac{1*4}{12*5}=\frac{4}{60}$

Simply the fraction to get the final answer:

$\frac{4}{60}\div \frac{4}{4}=\frac{1}{15}$

Report an Error

Example Question #11 : Fractions

Multiply these fractions:

$\frac{1}{4}*\frac{6}{7}$

Possible Answers:

$\frac{1}{14}$

$\frac{2}{7}$

$\frac{5}{14}$

$\frac{3}{14}$

Correct answer:

$\frac{3}{14}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{4}*\frac{6}{7}=\frac{1*6}{4*7}=\frac{6}{28}$

Simply the fraction to get the final answer:

$\frac{6}{28}\div \frac{2}{2}=\frac{3}{14}$

Report an Error

Example Question #12 : Fractions

Multiply these fractions:

$\frac{12}{17}*\frac{5}{4}$

Possible Answers:

$\frac{13}{17}$

$\frac{14}{17}$

$\frac{16}{17}$

$\frac{15}{17}$

Correct answer:

$\frac{15}{17}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{12}{17}*\frac{5}{4}=\frac{12*5}{17*4}=\frac{60}{68}$

Simply the fraction to get the final answer:

$\frac{60}{68}\div \frac{4}{4}=\frac{15}{17}$

Report an Error

Example Question #13 : Fractions

Multiply these fractions:

$\frac{8}{9}*\frac{3}{4}$

Possible Answers:

$\frac{1}{3}$

$1\frac{2}{3}$

$\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{8}{9}*\frac{3}{4}=\frac{8*3}{9*4}=\frac{24}{36}$

Simplify the fraction to get the final answer:

$\frac{24}{36}\div \frac{6}{6}=\frac{4}{6}\div \frac{2}{2}=\frac{2}{3}$

Report an Error

Example Question #1 : Division With Fractions

Solve the following:

$\frac{4}{5}\div4$

Possible Answers:

$\frac{24}{5}$

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{16}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

The correct answer is $\frac{1}{5}$ and can be found by using reciprocals as shown below:

$\frac{4}{5}\div\frac{4}{1} = \frac{4}{5}\ast \frac{1}{4} = \frac{4}{20}=\frac{1}{5}$

The first step is to identify that 4 can be written as 4 divided by 1. You can then take the first fraction and multiple it by the reciprocal of the second fraction, which can be found by switching the numerator and denominator. From there, you solve and simplify until you get to the final answer.

Report an Error

Example Question #1 : Division With Fractions

Evaluate the following division problem and express the resulting fraction in its simplest form.

$\frac{16}{3}\div \frac{5}{12}$

Possible Answers:

$\frac{20}{9}$

$\frac{64}{5}$

$\frac{192}{8}$

$\frac{192}{15}$

$\frac{80}{36}$

Correct answer:

$\frac{64}{5}$

Explanation:

In order to divide two fractions you simply find the inverse of either fraction, and multiply that by the other fraction.

To find the inverse of a fraction, you just switch the numerator and the denominator.

The inverse of $\frac{5}{12}$ is $\frac{12}{5}$ .

So to divide:

$\frac{16}{3}\div \frac{5}{12}$

We turn it into the following multiplication problem:

$\frac{16}{3}\times\frac{12}{5}$

We multiply the numerators by each other and the denominators by each other to carry out the multiplication:

$\frac{16\times 12}{3\times 5}=\frac{192}{15}$

Both 192 and 15 are divisible by 3, so we divide 192 by 3 and 15 by 3 and are left with:

$\frac{64}{5}$

Report an Error

Example Question #12 : Operations With Fractions

Determine the answer as an improper fraction:

$\frac{16}{8} \div \frac{3}{4}=$

Possible Answers:

$\frac{3}{8}$

$\frac{8}{3}$

$\frac{13}{8}$

$\frac{6}{4}$

Correct answer:

$\frac{8}{3}$

Explanation:

1. Invert the second fraction:

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

2. Multiply the two fractions:

$\frac{16}{8}\times \frac{4}{3}=\frac{64}{24}$

3. Reduce the improper fraction:

$\frac{64}{24}=\frac{8}{8}\times \frac{8}{3}$

So the improper fraction can be reduced to $\frac{8}{3}$ .

Report an Error

Example Question #1 : Division With Fractions

Please choose the best answer for the question below.

What is 6/7 divided by 2/5 ?

Possible Answers:

12/35

7/15

30/17

35/12

15/7

Correct answer:

15/7

Explanation:

To divide fractions, simply invert the second fraction and multiply. So, 6/7 divided by 2/5 becomes:

$6/7 \cdot 5/2 = 30/14$

reduce to find the correct answer:

15/7 .

Report an Error

← Previous 1 2 3 4 5 Next →

View Arithmetic Tutors

Linda
Certified Tutor

SUNY at College at Cortland, Bachelors, Health Education. SUNY College at Cortland, Masters, Education.

View Arithmetic Tutors

Patricia
Certified Tutor

Old Dominion University, Bachelors, History and French. George Washington University, Masters, Behavioral Science.

View Arithmetic Tutors

Melissa
Certified Tutor

University of Houston, Bachelors, Political Science and Government.

All Basic Arithmetic Resources

6 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Atlanta, Chemistry Tutors in Philadelphia, LSAT Tutors in New York City, LSAT Tutors in Phoenix, SAT Tutors in Philadelphia, French Tutors in New York City, French Tutors in Philadelphia, GMAT Tutors in Houston, SSAT Tutors in San Diego, Physics Tutors in Dallas Fort Worth

Popular Courses & Classes

LSAT Courses & Classes in Washington DC, SSAT Courses & Classes in Philadelphia, ACT Courses & Classes in Denver, SAT Courses & Classes in Philadelphia, ACT Courses & Classes in Los Angeles, GMAT Courses & Classes in New York City, SSAT Courses & Classes in Seattle, ACT Courses & Classes in Houston, GMAT Courses & Classes in Atlanta, GMAT Courses & Classes in Phoenix

Popular Test Prep

GRE Test Prep in Dallas Fort Worth, LSAT Test Prep in Washington DC, LSAT Test Prep in Seattle, MCAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Denver, ISEE Test Prep in San Francisco-Bay Area, GRE Test Prep in Philadelphia, LSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Chicago, ISEE Test Prep in San Diego

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

Basic Arithmetic : Operations with Fractions

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #181 : Fractions

Example Question #191 : Basic Arithmetic

Example Question #21 : Multiplying And Dividing Fractions

Example Question #11 : Fractions

Example Question #12 : Fractions

Example Question #13 : Fractions

Example Question #1 : Division With Fractions

Example Question #1 : Division With Fractions

Example Question #12 : Operations With Fractions

Example Question #1 : Division With Fractions

All Basic Arithmetic Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: