Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Quantitative : 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 … 12 13 14 15 16 17 18 19 20 Next →

Example Question #17 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Zach cleaned $\frac{1}{8}$ of the house and Alex cleaned $\frac{1}{3}$ of the house. How much more of the house did Alex clean?

Possible Answers:

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{7}{24}$

$\frac{1}{3}$

$\frac{5}{24}$

Correct answer:

$\frac{5}{24}$

Explanation:

$\frac{1}{3}-\frac{1}{8}$

In order to solve this problem, we first need to make common denominators.

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

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

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

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{8}{24}-\frac{3}{24}=\frac{5}{24}$

Report an Error

Example Question #21 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Lily pulled $\frac{1}{9}$ of the weeds and Rose pulled $\frac{1}{3}$ . How much more of the weeds did Rose pull?

Possible Answers:

$\frac{1}{9}$

$\frac{2}9{}$

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{5}{7}$

Correct answer:

$\frac{2}9{}$

Explanation:

$\frac{1}{3}-\frac{1}{9}$

In order to solve this problem, we first need to make common denominators.

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

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{3}{9}-\frac{1}{9}=\frac{2}{9}$

Report an Error

Example Question #441 : Fractions

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . How much more of the milk did Sam drink?

Possible Answers:

$\frac{7}8{}$

$\frac{7}{12}$

$\frac{2}3{}$

$\frac{1}2{}$

$\frac{5}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

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

In order to solve this problem, we first need to make common denominators.

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{8}{12}-\frac{1}{12}=\frac{7}{12}$

Report an Error

Example Question #1581 : Ssat Middle Level Quantitative (Math)

Jake ate $\frac{1}{7}$ of the popcorn and Dave ate $\small \frac{4}{14}$ of the popcorn. How much more of the popcorn did Dave eat?

Possible Answers:

$\frac{2}3{}$

$\frac{5}6{}$

$\frac{2}7{}$

$\frac{1}7{}$

$\frac{9}{11}$

Correct answer:

$\frac{1}7{}$

Explanation:

$\frac{4}{14}-\frac{1}{7}$

In order to solve this problem, we first need to make common denominators.

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

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{4}{14}-\frac{2}{14}=\frac{2}{14}$

$\small \frac{2}{14}$ can be reduced by dividing $\small 2$ by both sides.

$\small \frac {2}{14}\div\frac{2}{2}=\frac{1}{7}$

Report an Error

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

It is impossible to tell from the information given

(b) is greater

(a) and (b) are equal

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:

It is impossible to tell from the information given

(a) and (b) are equal

(b) is greater

(a) is greater

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) and (B) are equal

(A) is greater

(B) is greater

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

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 #4 : How To Multiply Fractions

Which is the greater quantity?

(A) 0.5

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

Possible Answers:

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

(A) is greater

(B) is greater

(A) and (B) are equal

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

← Previous 1 2 … 12 13 14 15 16 17 18 19 20 Next →

View Tutors

Aisha
Certified Tutor

Ahmadu Bello University Zaria-Nigeria,, Bachelor of Science, Microbiology.

View Tutors

Kimberly
Certified Tutor

The University of Texas at Dallas, Bachelor in Arts, Multi-/Interdisciplinary Studies, General. Amberton University, Master o...

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

All ISEE Middle Level Quantitative Resources

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

Popular Subjects

LSAT Tutors in New York City, Physics Tutors in Washington DC, Algebra Tutors in Denver, SSAT Tutors in Los Angeles, French Tutors in San Diego, LSAT Tutors in Miami, GRE Tutors in Houston, Calculus Tutors in Miami, Reading Tutors in Dallas Fort Worth, Chemistry Tutors in Dallas Fort Worth

Popular Courses & Classes

GRE Courses & Classes in Los Angeles, Spanish Courses & Classes in San Diego, GRE Courses & Classes in Atlanta, ISEE Courses & Classes in San Diego, SAT Courses & Classes in Atlanta, Spanish Courses & Classes in Houston, Spanish Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in San Diego, ISEE Courses & Classes in Philadelphia, ACT Courses & Classes in Houston

Popular Test Prep

GMAT Test Prep in Washington DC, LSAT Test Prep in Phoenix, ACT Test Prep in Chicago, SAT Test Prep in Miami, ISEE Test Prep in Atlanta, SAT Test Prep in Denver, MCAT Test Prep in New York City, SAT Test Prep in Boston, SAT Test Prep in Dallas Fort Worth, ACT Test Prep in Atlanta

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 : Fractions

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #17 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #21 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #441 : Fractions

Example Question #1581 : Ssat Middle Level Quantitative (Math)

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 #4 : 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: