Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Quantitative : How to multiply fractions

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

Create An Account

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 Next →

Example Question #1 : How To Multiply Fractions

$\small \frac{3}{15}\cdot \frac{4}{5}$

Possible Answers:

$\small \frac{36}{15}$

$\small \frac{12}{225}$

$\small \frac{4}{25}$

$\small \frac{36}{225}$

$\small \frac{12}{75}$

Correct answer:

$\small \frac{4}{25}$

Explanation:

When multiplying fractions you simply multiply the numerators to find the numerator of the product, and multiply the denominators to find the denominator of the product.

$\small 3\cdot 4=12$

$\small 5\cdot 15=75$

So, our product is $\small \frac{12}{75}$ .

Since both of these numbers are divisible by three, we simplify.

$\small \frac{12}{3}=4$

$\small \frac{75}{3}= 25$

Our final answer is $\small \frac{4}{25}$ .

Report an Error

Example Question #1 : How To Multiply Fractions

Which is the greater quantity?

(a) $3 \frac{1}{3} \times 4 \frac{1}{5}$

(b) $12 \frac{1}{15}$

Possible Answers:

(a) is greater

(b) is greater

(a) and (b) are equal

It is impossible to tell from the information given

Correct answer:

(a) is greater

Explanation:

Rewrite the mixed numbers as improper fractions, then multiply across:

$3 \frac{1}{3} = \frac{3\times 3 + 1}{3} = \frac{10}{3}$

$4 \frac{1}{5} = \frac{4 \times 5 + 1}{5} = \frac{21}{5}$

$3 \frac{1}{3} \times 4 \frac{1}{5} = \frac{10}{3} \times \frac{21}{5} = \frac{2}{1} \times \frac{7}{1} = 14$

$14 > 12 \frac{1}{5}$

Report an Error

Example Question #2 : How To Multiply Fractions

Which is the greater quantity?

(a) $6 \frac{5}{6} \times 6$

(b)

Possible Answers:

(a) is greater

It is impossible to tell from the information given

(b) is greater

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

Rewrite the factors as improper fractions, then multiply across:

$6 \frac{5}{6} = \frac{6\times 6 + 5}{6} = \frac{36 + 5}{6} = \frac{41}{6}$

$6 = \frac{6}{1}$

$6 \frac{5}{6} \times 6 =\frac{41}{6}\times \frac{ 6}{1}=\frac{41}{1}\times \frac{ 1}{1} = 41$

Report an Error

Example Question #1 : How To Multiply Fractions

0.75 t = 0.3

$\frac{7}{4} k = \frac{7}{10}$

Which is the greater quantity?

(a)

(b)

Possible Answers:

(a) and (b) are equal

(a) is greater

(b) is greater

It is impossible to tell from the information given

Correct answer:

(a) and (b) are equal

Explanation:

(a) 0.75 t = 0.3

$0.75 t \div 0.75 = 0.3 \div 0.75$

$t= 0.3 \div 0.75$

Divide by moving the decimal point right two places in both numbers:

$t= 30 \div 75 = 0.4$

(b) $\frac{7}{4} k = \frac{7}{10}$

$\frac{4} {7} \cdot \frac{7}{4} k =\frac{4} {7} \cdot \frac{7}{10}$

$k =\frac{4} {7} \cdot \frac{7}{10}$

Cross-cancel:

$k =\frac{2} {1} \cdot \frac{1}{5} = \frac{2} {5}$

$0.4 = \frac{4}{10 } = \frac{4\div 2}{10\div 2 } = \frac{2}{5}$ , so k = t

Report an Error

Example Question #3 : How To Multiply Fractions

Which is the greater quantity?

(A) $\left ( \frac{3}{5} \right )^{3}$

(B) $0.6^{2}$

Possible Answers:

(A) is greater

It is impossible to determine which is greater from the information given

(B) is greater

(A) and (B) are equal

Correct answer:

(B) is greater

Explanation:

$\frac{3}{5} = 3 \div 5 = 0.6$ , so

$\left ( \frac{3}{5} \right )^{3} = 0.6^{3} = 0.6 \times 0.6 \times 0.6 = 0.36 \times 0.6 = 0.216$

$0.6 ^{2} = 0.6 \times 0.6 = 0.36$

0.36 > 0.216 , so $0.6^{2} > \left ( \frac{3}{5} \right )^{3}$ , making (B) greater.

Report an Error

Example Question #831 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Which is the greater quantity?

(A) 0.5

(B) $\left ( \frac{4}{5} \right )^{3}$

Possible Answers:

(A) and (B) are equal

(B) is greater

It is impossible to determine which is greater from the information given

(A) is greater

Correct answer:

(B) is greater

Explanation:

$\left ( \frac{4}{5} \right )^{3} = 0.8 ^{3} = 0.8 \times 0.8 \times 0,8 = 0.64\times 0,8 = 0.512$

Since 0.512 > 0.5 , $\left ( \frac{4}{5} \right )^{3} > 0.5$ , so (B) is greater.

Report an Error

Example Question #171 : Fractions

Which is the greater quantity?

(A) $\left (\frac{3}{5} \right )^{2}$

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

Possible Answers:

It is impossible to determine which is greater from the information given

(A) and (B) are equal

(A) is greater

(B) is greater

Correct answer:

(B) is greater

Explanation:

$\left (\frac{3}{5} \right )^{2} = \frac{3^{2}}{5^{2}} = \frac{9}{25}$

$1 - \left ( \frac{2}{5} \right )^{2} = 1- \frac{2^{2}}{5^{2}} = 1- \frac{4}{25} = \frac{25}{25}- \frac{4}{25} = \frac{25-4}{25}= \frac{21}{25}$

$\frac{21}{25} > \frac{9}{25}$ , so (B) is greater

Report an Error

Example Question #1 : How To Multiply Fractions

Which is the greater quantity?

(A) $\left ( \frac{7}{25} \right )^{2}+ \left ( \frac{24}{25} \right )^{2}$

(B) $0.8^{2} + 0.6^{2}$

Possible Answers:

It is impossible to determine which is greater from the information given

(A) is greater

(A) and (B) are equal

(B) is greater

Correct answer:

(A) and (B) are equal

Explanation:

$\left ( \frac{7}{25} \right )^{2}+ \left ( \frac{24}{25} \right )^{2}$

$=\frac{7^{2}}{25^{2}} + \frac{24^{2}}{25^{2}}$

$=\frac{49}{625 } + \frac{576}{625 } = \frac{49+576}{625 } = \frac{625}{625 } = 1$

$0.8 ^{2} + 0.6^{2}$

$=0.8 \times 0.8 + 0.6 \times 0.6$

=0.64 + 0.36 = 1

The expressions are equal.

Report an Error

Example Question #172 : Fractions

$a=1.5,\ b = 4.5$

Which is the greater quantity?

(A)

(B) a + b

Possible Answers:

(B) is greater

It is impossible to determine which is greater from the information given

(A) and (B) are equal

(A) is greater

Correct answer:

(A) is greater

Explanation:

Solve for (A):

$ab = 1.5 \cdot 4.5 = 6.75$

Solve for (B):

a + b = 1.5 + 4.5 = 6

Since 6.75>6 , ab > a+b and (A) is greater.

Report an Error

Example Question #1 : How To Multiply Fractions

$\tfrac{3}{4} \times 12 =$

Possible Answers:

$\frac{1}{3}$

$\frac{1}{12}$

$\frac{1}{4}$

Correct answer:

Explanation:

When dealing with problems that involve fractions and whole numbers, first convert your whole number into a fraction. You can easily do this by putting the whole number over 1.

$12 \rightarrow\tfrac{12}{1}$

$\tfrac{3}{4}\times12=\tfrac{3}{4}\times\tfrac{12}{1}$

When multiplying, multiply the numerators by each other and the denominators by each other.

$\tfrac{3}{4} \times\tfrac{12}{1} = \tfrac{3\times12}{4\times1}=\tfrac{36}{4}$

Always reduce a fraction when possible. In this case, the numerator and denominator of $\tfrac{36}{4}$ are both divisible by 4. So, it reduces to 9.

$\tfrac{36}{4}=\tfrac{36\div4}{4\div4}=\tfrac{9}{1}=9$

$\tfrac{36}{4} \rightarrow\tfrac{9}{1}\rightarrow9$

Report an Error

← Previous 1 2 Next →

View Tutors

Matt
Certified Tutor

View Tutors

Dr Shira
Certified Tutor

Florida International University, Bachelor of Science, Hospitality Administration and Management. California University, Doct...

View Tutors

Yongmao
Certified Tutor

Nankai University, Bachelor of Science, Chemistry. Washington University in St Louis, Doctor of Philosophy, Organic Chemistry.

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Miami, ISEE Tutors in Phoenix, Chemistry Tutors in Houston, Biology Tutors in Chicago, ACT Tutors in San Diego, MCAT Tutors in Seattle, French Tutors in New York City, Chemistry Tutors in Seattle, ISEE Tutors in Philadelphia, LSAT Tutors in Chicago

Popular Courses & Classes

Spanish Courses & Classes in Denver, Spanish Courses & Classes in Seattle, ISEE Courses & Classes in Washington DC, Spanish Courses & Classes in Houston, GMAT Courses & Classes in Chicago, GRE Courses & Classes in Philadelphia, GRE Courses & Classes in Phoenix, GRE Courses & Classes in Atlanta, MCAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Denver

Popular Test Prep

SAT Test Prep in New York City, ISEE Test Prep in Washington DC, ACT Test Prep in Houston, ISEE Test Prep in Phoenix, GRE Test Prep in Atlanta, SSAT Test Prep in Houston, ACT Test Prep in Dallas Fort Worth, ISEE Test Prep in New York City, LSAT Test Prep in San Francisco-Bay Area, ACT 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

ISEE Middle Level Quantitative : How to multiply fractions

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #1 : How To Multiply Fractions

Example Question #1 : How To Multiply Fractions

Example Question #2 : How To Multiply Fractions

Example Question #1 : How To Multiply Fractions

Example Question #3 : How To Multiply Fractions

Example Question #831 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #171 : Fractions

Example Question #1 : How To Multiply Fractions

Example Question #172 : Fractions

Example Question #1 : How To Multiply Fractions

All ISEE Middle Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: