Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : How to divide fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

Create An Account

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #411 : Fractions

Solve:

$\small \frac{3}{12}\div\frac{1}{3}$

Possible Answers:

$\frac{3}{4}$

$\small \frac{36}{3}$

$\small \frac{1}{3}$

$\small \frac{12}9{}$

$\small \frac{3}{36}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\small \frac{3}{12}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \small \frac{3}{12}\times\frac{3}{1}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced because both and are divisible by

$\frac{9}{12}\div\frac{3}{3}=\frac{3}{4}$

Report an Error

Example Question #412 : Fractions

Solve:

$\small \frac{7}{8}\div\frac{1}{4}$

Possible Answers:

$3\frac{1}{2}$

$\small \frac{32}{7}$

$\small \frac{7}{32}$

$\small \frac{8}{28}$

$\small \frac{9}{15}$

Correct answer:

$3\frac{1}{2}$

Explanation:

$\small \frac{7}{8}\div\frac{1}{4}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{7}{8}\times\frac{4}{1}=\frac{28}{8}$

$\frac{28}{8}=3\frac{4}{8}=3\frac{1}{2}$ because can go into three times, with left over.

$\frac{4}{8}$ can be reduced because both and are divisible by .

$\frac{4}{8}\div\frac{4}{4}=\frac{1}{2}$

Report an Error

Example Question #201 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 10$ people are sharing a $\small 73$ -pound bag of peanuts. If the peanuts are distributed evenly, how many pounds of peanuts will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 7$ and $\small 8$

$\small 4$ and $\small 5$

$\small 5$ and $\small 6$

$\small 8$ and $\small 9$

$\small 6$ and $\small 7$

Correct answer:

$\small 7$ and $\small 8$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{73}{10}=7\frac{3}{10}$

$\small 10$ can go into $\small 73$ only $\small 7$ times with $\small \frac{3}{10}$ left over.

Report an Error

Example Question #174 : How To Divide Fractions

How many $\frac{1}{2}$ cup servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{2}\ cup$ servings are in cups, we are dividing by $\frac{1}{2}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

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

Report an Error

Example Question #171 : How To Divide Fractions

Solve the following:

$\small \frac{1}{2}\div\frac{2}{3}$

Possible Answers:

$\small \frac{3}2{}$

$\small \frac{1}{3}$

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

$\small \frac{5}{6}$

$\small \frac{1}{2}$

Correct answer:

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

Explanation:

$\small \frac{1}{2}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{2}\times\frac{3}{2}=\frac{3}{4}$

Report an Error

Example Question #9 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Christine has $\frac{1}{2}lb$ of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{8}{7}lb$

$\frac{2}{7}lb$

$\frac{1}{14}lb$

$\frac{14}{2}lb$

$\frac{1}{4}lb$

Correct answer:

$\frac{1}{14}lb$

Explanation:

We are splitting $\frac{1}{2}$ into equal groups, so we are dividing $\frac{1}{2}$ by .

To solve $\frac{1}{2}\div7$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{7}=\frac{1}{14}$

1 14

Report an Error

Example Question #401 : Fractions

$\small \frac{12}{13}\div\frac{2}{1}$

Possible Answers:

$\small \frac{10}{22}$

$\small \frac{14}{32}$

$\small \frac{7}{21}$

$\small \frac{12}{26}$

$\small \frac{9}{28}$

Correct answer:

$\small \frac{12}{26}$

Explanation:

$\small \frac{12}{13}\div\frac{2}{1}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{12}{13}\times\frac{1}{2}=\frac{12}{26}$

Report an Error

Example Question #173 : Fractions

Hydraulic fracturing is a process used by gas companies to rupture and collect pockets of gas trapped within pockets of shale rock. A particular shale fracking site is $\frac{3}{4}\textup{ miles}$ in length and occupies an area of $\frac{1}{2}\textup{ miles}^2$ . How wide is this particular site?

Possible Answers:

$\frac{2}{5}\textup{ miles}$

$\frac{2}{3}\textup{ miles}$

$\frac{6}{7}\textup{ miles}$

$\frac{1}{3}\textup{ miles}$

$\frac{3}{5}\textup{ miles}$

Correct answer:

$\frac{2}{3}\textup{ miles}$

Explanation:

In order to solve this question, we need to first recall how to find the area of a rectangle.

$\text{Area}=\text{Length} \times \text{Width}$

Substitute in the given values in the equation and solve for $\text{Width}$ .

$\frac{1}{2}\ miles^2=\frac{3}{4}\ miles\times Width$

Divide both sides by $\frac{3}{4}\ miles$

$\frac{\frac{1}{2}\ miles^2}{\frac{3}{4}\ miles}=\frac{\frac{3}{4}\ miles \times Width}{\frac{3}{4}\ miles}$

Dividing by a fraction is the same as multiplying by its inverse or reciprocal.

Find the reciprocal of $\frac{3}{4}\ miles$

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

Simplify and rewrite.

$Width=\frac{4}{3} \times \frac{1}{2}$

Multiply and solve.

$Width=\frac{4}{6}$

Reduce.

$Width=\frac{2}{3}\ miles$

The width of the fracking site is $\frac{2}{3}\ miles$

Report an Error

Example Question #172 : How To Divide Fractions

How many $\frac{1}{3}\textup{ cup}$ servings are in five cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{3}\textup{ cup}$ servings are in cups, we are dividing by $\frac{1}{3}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{5}{1}\times\frac{3}{1}=\frac{15}{1}=15$

Report an Error

View SSAT- Middle Level Tutors

Martine
Certified Tutor

University of South Florida-Main Campus, Bachelors, Science. Windsor University School of Medicine, Doctor of Medicine, Scien...

View SSAT- Middle Level Tutors

Roberta
Certified Tutor

Miami Dade College, Bachelor of Engineering, Electrical Engineering.

View SSAT- Middle Level Tutors

Chase
Certified Tutor

Western Governors University, Bachelor of Science, Mathematics.

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Denver, Chemistry Tutors in Denver, Reading Tutors in Philadelphia, Computer Science Tutors in Miami, SAT Tutors in San Diego, Reading Tutors in Denver, GMAT Tutors in Boston, Reading Tutors in Los Angeles, SAT Tutors in Washington DC, French Tutors in Denver

Popular Courses & Classes

SSAT Courses & Classes in Boston, MCAT Courses & Classes in Miami, Spanish Courses & Classes in Chicago, ACT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Washington DC, GMAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Washington DC, SAT Courses & Classes in Chicago, GRE Courses & Classes in Houston

Popular Test Prep

MCAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Phoenix, GMAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Dallas Fort Worth, ISEE Test Prep in Dallas Fort Worth, GMAT Test Prep in Los Angeles, GRE Test Prep in San Francisco-Bay Area, SAT Test Prep in Houston, MCAT Test Prep in Chicago, SAT Test Prep in Denver

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

SSAT Middle Level Math : How to divide fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #411 : Fractions

Example Question #412 : Fractions

Example Question #201 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #174 : How To Divide Fractions

Example Question #171 : How To Divide Fractions

Example Question #9 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #401 : Fractions

Example Question #173 : Fractions

Example Question #172 : How To Divide Fractions

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: