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

Example Question #1 : Multiplication With Fractions

Multiply:

$\frac{5}{6}\times\frac{12}{25}=?$

Possible Answers:

$\frac{1}{75}$

$\frac{2}{5}$

$\frac{60}{100}$

Correct answer:

$\frac{2}{5}$

Explanation:

Multiply the numerators together, then multiply the denominators together.

$\frac{5}{6}\times\frac{12}{25}=\frac{5 \times 12}{6\times25}=\frac{60}{150}$

To simplfy we can pull out a from the numerator and denominator, thus canceling them. The following answer is the result:

$=\frac{30\cdot2}{30\cdot5}=\frac{2}{5}$

Report an Error

Example Question #2 : Multiplication With Fractions

In a classroom of 36, $\frac{1}{3}$ of the students are girls. If $\frac{1}{6}$ of the girls enjoy eating strawberries, and $\frac{1}{3}$ of the boys also enjoy eating strawberries, how many total students in the class enjoy eating strawberries?

Possible Answers:

Correct answer:

Explanation:

First, find out how many girls and boys are in the class.

Multiply 36 by $\frac{1}{3}$ to find the number of girls.

$36\times \frac{1}{3}=12$

Then, subtract the number of girls from the total number of students in the class to find the number of boys.

36-12=24

Now, we can figure out how many girls enjoy eating strawberries. Multiply the total number of girls by the fraction of girls who enjoy eating strawberries.

$12\times\frac{1}{6}=2$

Now, do the same with the boys.

$24\times\frac{1}{3}=8$

Add these two numbers together to get the total number of students who enjoy eating strawberries.

2+8=10

Report an Error

Example Question #2 : Operations With Fractions

Solve and simplify.

$\frac{3}{4} \times \frac{4}{6}$

Possible Answers:

$\frac{7}{10}$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{7}{24}$

$\frac{12}{10}$

Correct answer:

$\frac{1}{2}$

Explanation:

When multiplying fractions, you simply multiply the numerators and then multiply the denominators. Then simplify the fraction.

$\frac{3}{4} \times \frac{4}{6}=\frac{3\cdot 4}{4 \cdot 6}$

$=\frac{12}{24}=\frac{1\cdot 12}{2 \cdot 12}=\frac{1}{2}$

(Note: by dividing both our numerator and our denominator by , gives us our final answer of $\frac{1}{2}$ .

Report an Error

Example Question #2 : Multiplication With Fractions

Evaluate the following:

$-\frac{4}{5}\cdot\left ( \frac{1}{2} \right )^{2}$

Possible Answers:

$-\frac{16}{5}$

$-\frac{1}{5}$

$-\frac{11}{20}$

$-\frac{17}{20}$

Correct answer:

$-\frac{1}{5}$

Explanation:

This problem involves order of operations.

The correct order is: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

Rewrite the exponent and cancel out the 4 on the numerator and denominator.

$-\frac{4}{5}\cdot\frac{1}{4}= -\frac{1}{5}$

Report an Error

Example Question #2 : Fractions

Please choose the best answer for the question below.

$\frac{1}{2} \times\frac{36}{55}=$

Possible Answers:

36/115

36/22

18/55

36/105

9/25

Correct answer:

18/55

Explanation:

To do this problem, simply multiply through (i.e. numerator by numerator and denominator by denominator):

$1/2 \cdot 36/55 = 36/110$

And then reduce to find your answer--both and 110 are divisible by two.

36/110 = 18/55

Report an Error

Example Question #1 : Fractions

Multiply these fractions:

$\frac{7}{9}*\frac{1}{14}$

Possible Answers:

$\frac{1}{9}$

$\frac{2}{9}$

$\frac{1}{18}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{18}$

Explanation:

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

$\frac{7}{9}*\frac{1}{14}=\frac{7*1}{9*14}=\frac{7}{126}$

Simply the fraction to get the final answer:

$\frac{7}{126}\div \frac{7}{7}=\frac{1}{18}$

Report an Error

Example Question #1 : Operations With Fractions

Multiply these fractions:

$\frac{5}{12}*\frac{3}{7}$

Possible Answers:

$\frac{3}{14}$

$\frac{5}{28}$

$\frac{1}{4}$

$\frac{5}{27}$

Correct answer:

$\frac{5}{28}$

Explanation:

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

$\frac{5}{12}*\frac{3}{7}=\frac{5*3}{12*7}=\frac{15}{84}$

Simply the fraction to get the final answer:

$\frac{15}{84}\div \frac{3}{3}=\frac{5}{28}$

Report an Error

Example Question #1 : Operations With Fractions

Multiply these fractions:

$\frac{2}{3}*\frac{5}{6}$

Possible Answers:

$\frac{2}{9}$

$\frac{7}{9}$

$\frac{5}{9}$

$\frac{4}{9}$

Correct answer:

$\frac{5}{9}$

Explanation:

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

$\frac{2}{3}*\frac{5}{6}=\frac{2*5}{3*6}=\frac{10}{18}$

Simply the fraction to get the final answer:

$\frac{10}{18}\div \frac{2}{2}=\frac{5}{9}$

Report an Error

Example Question #2 : Multiplication With Fractions

Multiply these fractions:

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

Possible Answers:

$\frac{1}{6}$

$\frac{1}{3}$

$1\frac{1}{2}$

$1\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

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

$\frac{1}{2}*\frac{2}{3}=\frac{1*2}{2*3}=\frac{2}{6}$

Simply the fraction to get the final answer:

$\frac{2}{6}\div \frac{2}{2}=\frac{1}{3}$

Report an Error

Example Question #3 : Fractions

Multiply these fractions:

$\frac{5}{7}*\frac{1}{3}$

Possible Answers:

$\frac{6}{21}$

$\frac{4}{21}$

$\frac{1}{3}$

$\frac{5}{21}$

Correct answer:

$\frac{5}{21}$

Explanation:

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

$\frac{5}{7}*\frac{1}{3}=\frac{5*1}{7*3}=\frac{5}{21}$

Report an Error

View Arithmetic Tutors

Marlene
Certified Tutor

Herbert Lehman, Bachelors, Recreation Education. Long Island University-Brooklyn Campus, Masters, Special Education.

View Arithmetic Tutors

Oluwakemi
Certified Tutor

University of Central Florida, Bachelor of Science, Mathematics.

View Arithmetic Tutors

Ingrid
Certified Tutor

Northern Illinois University, Bachelor of Education, Elementary School Teaching. Northern Illinois University, Masters in Edu...

All Basic Arithmetic Resources

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

Popular Subjects

Calculus Tutors in Phoenix, Physics Tutors in Washington DC, English Tutors in Chicago, ACT Tutors in Atlanta, GRE Tutors in San Diego, GRE Tutors in Los Angeles, Algebra Tutors in Seattle, SAT Tutors in Houston, SAT Tutors in Denver, MCAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

GRE Courses & Classes in Boston, ISEE Courses & Classes in Washington DC, GMAT Courses & Classes in Miami, GRE Courses & Classes in Phoenix, SAT Courses & Classes in Washington DC, GRE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Seattle, GRE Courses & Classes in Washington DC, MCAT Courses & Classes in Houston

Popular Test Prep

SSAT Test Prep in Los Angeles, GMAT Test Prep in Miami, SSAT Test Prep in Washington DC, GRE Test Prep in Miami, LSAT Test Prep in Miami, SAT Test Prep in Denver, MCAT Test Prep in Philadelphia, SSAT Test Prep in Phoenix, GRE Test Prep in San Francisco-Bay Area, GMAT Test Prep in Washington DC

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 #1 : Multiplication With Fractions

Example Question #2 : Multiplication With Fractions

Example Question #2 : Operations With Fractions

Example Question #2 : Multiplication With Fractions

Example Question #2 : Fractions

Example Question #1 : Fractions

Example Question #1 : Operations With Fractions

Example Question #1 : Operations With Fractions

Example Question #2 : Multiplication With Fractions

Example Question #3 : Fractions

All Basic Arithmetic Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: