Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Quantitative : How to subtract 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

Example Question #1 : How To Subtract Fractions

Which is the greater quantity?

(a) $8 - 3 \frac{3}{7}$

(b) $5 \frac{3}{7}$

Possible Answers:

(b) is greater

It is impossible to tell from the information given

(a) is greater

(a) and (b) are equal

Correct answer:

(b) is greater

Explanation:

"Borrow" 1 from the 8 and subtract vertically:

$8 - 3 \frac{3}{7} = 7 \frac{7}{7} - 3 \frac{3}{7}$ :

$7 \frac{7}{7}$

$\underline{- 3 \frac{3}{7}}$

$4 \frac{4}{7}$

$4 \frac{4}{7} < 5 \frac{3}{7}$

Report an Error

Example Question #2 : How To Subtract Fractions

Which is the greater quantity?

(a) $6 \frac{2}{7} - 2 \frac{6}{7}$

(b) $4 \frac{4}{7}$

Possible Answers:

(a) is greater

It is impossible to tell from the information given

(b) is greater

(a) and (b) are equal

Correct answer:

(b) is greater

Explanation:

"Borrow" 1 from the 6 and subtract vertically:

$6 \frac{2}{7} - 2 \frac{6}{7} = 5 \frac{9}{7} - 2 \frac{6}{7}$

$5 \frac{9}{7}$

$\underline{ - 2 \frac{6}{7}}$

$3 \frac{3}{7}$

$3 \frac{3}{7} < 4 \frac{4}{7}$

Report an Error

Example Question #3 : How To Subtract Fractions

a + 3.7 = 8.2

$b + 4 \frac{2}{3} = 9$

Which is the greater quantity?

(a)

(b)

Possible Answers:

It is impossible to tell from the information given

(a) is greater

(a) and (b) are equal

(b) is greater

Correct answer:

(a) is greater

Explanation:

(a) a + 3.7 =8.2

a + 3.7- 3.7 = 8.2 - 3.7

a = 4.5

(b) $b + 4 \frac{2}{3} = 9$

$b + 4 \frac{2}{3} - 4 \frac{2}{3} = 9- 4 \frac{2}{3}$

$b = 9- 4 \frac{2}{3} = 8\frac{3}{3}- 4\frac{2}{3} = 4\frac{1}{3}$

$4\frac{1}{3} = 4.333... < 4.5$ , so a>b .

Report an Error

Example Question #4 : How To Subtract Fractions

$x = \frac{1}{2} + \frac{1}{3}$

$y = \frac{1}{2} + \frac{2}{3}$

Which is the greater quantity?

(a) x - y

(b) $-\frac{1}{2}$

Possible Answers:

(a) and (b) are equal

(a) is greater

It is impossible to tell from the information given

(b) is greater

Correct answer:

(a) is greater

Explanation:

Subtract both sides of the two equations:

$x = \frac{1}{2} + \frac{1}{3}$

$y = \frac{1}{2} + \frac{2}{3}$

$x - y = \frac{1}{2} + \frac{1}{3}- \left ( \frac{1}{2} + \frac{2}{3} \right )$

$x - y = \frac{1}{2} + \frac{1}{3}-\frac{1}{2} - \frac{2}{3}$

$x - y = \frac{1}{2} -\frac{1}{2}+ \frac{1}{3} - \frac{2}{3}$

$x - y = - \frac{1}{3}$

Since $\frac{1}{3} < \frac{1}{2}$ , then $x-y = -\frac{1}{3} > - \frac{1}{2}$

Report an Error

Example Question #4 : How To Subtract Fractions

$\frac{7}{8} - \frac{3}{4} =$

Possible Answers:

$\frac{7}{4}$

$\frac{1}{2}$

$\frac{1}{8}$

$\frac{5}{12}$

Correct answer:

$\frac{1}{8}$

Explanation:

When subtracting fractions with different denominators, first change the fractions so that they have the same denominator. Do this by finding the least common multiple of both 4 and 8. Some multiples of 4 and 8 are:

4: 4, 8, 12, 16...

8: 8, 16, 24, 32...

Since 8 is the first common multiple between 4 and 8, change the fractions accordingly so that their denominators equal 8. Since $\tfrac{7}{8}$ already has a denominator of 8, it does not need to change. Change $\tfrac{3}{4}$ , however, accordingly.

$\frac{3}{4}\times\frac{2}{2}\rightarrow\frac{6}{8}$

The problem now looks like this:

$\frac{7}{8}-\frac{6}{8}=$

Subtract the numerators. The result is your answer.

$\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\frac{1}{8}$

Report an Error

Example Question #4 : How To Subtract Fractions

$2\tfrac{1}{2} - 1\tfrac{3}{5} =$

Possible Answers:

$1\tfrac{2}{3}$

$-1\tfrac{2}{3}$

None of these

$\frac{9}{10}$

Correct answer:

$\frac{9}{10}$

Explanation:

When dealing with fractions and mixed numbers, first convert the mixed numbers to improper fractions.

$2\tfrac{1}{2} \rightarrow\tfrac{5}{2}$

$1\tfrac{3}{5}\rightarrow\tfrac{8}{5}$

The next thing you must do is change the denominators so that they are equal. Do this by finding the least common multiple of 2 and 5. Some multiples of 2 and 5 are:

2: 2, 4, 6, 8, 10...

5: 5, 10, 15, 20...

10 is the first common multiple of both 2 and 5, so change the fractions accordingly so that their denominators both equal 10.

$\tfrac{5}{2}\times\tfrac{5}{5}\rightarrow\tfrac{25}{10}$

$\tfrac{8}{5}\times\tfrac{2}{2}\rightarrow\tfrac{16}{10}$

The problem now looks like this:

$\tfrac{25}{10}-\tfrac{16}{10}=$

Subtract the numerators of the fraction. The result is your answer.

$\tfrac{25}{10}-\tfrac{16}{10}=\tfrac{25-16}{10}=\tfrac{9}{10}$

Report an Error

Example Question #471 : Fractions

This year, Samantha grew $\frac{1}{6}$ of an inch, and her brother, David, grew $\frac{2}{6}$ of an inch. How much more did David grow than Samantha?

Possible Answers:

$\frac{5}{6}$

$\frac{2}{6}$

$\frac{4}{6}$

$\frac{1}{6}$

$\frac{3}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{2}{6}-\frac{1}{6}=\frac{1}{6}$

Report an Error

Example Question #472 : Fractions

This year, Cassie grew $\frac{3}{9}$ of an inch, and her brother, Charlie, grew $\frac{5}{9}$ of an inch. How much more did Charlie grow than Cassie?

Possible Answers:

$\frac{6}{9}$

$\frac{5}{9}$

$\frac{1}{9}$

$\frac{2}{9}$

$\frac{4}{9}$

Correct answer:

$\frac{2}{9}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{5}{9}-\frac{3}{9}=\frac{2}{9}$

Report an Error

Example Question #473 : Fractions

This year, Emily grew $\frac{1}{6}$ of an inch, and her brother, Dan, grew $\frac{4}{6}$ of an inch. How much more did Dan grow than Emily?

Possible Answers:

$\frac{3}{6}$

$\frac{5}{6}$

$\frac{4}{6}$

$\frac{2}{6}$

$\frac{1}{6}$

Correct answer:

$\frac{3}{6}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{4}{6}-\frac{1}{6}=\frac{3}{6}$

Report an Error

Example Question #961 : Numbers And Operations

This year, Sally grew $\frac{3}{6}$ of an inch, and her brother, Drew, grew $\frac{5}{6}$ of an inch. How much more did Drew grow than Sally?

Possible Answers:

$\frac{4}{6}$

$\frac{5}{6}$

$\frac{3}{6}$

$\frac{2}{6}$

$\frac{1}{6}$

Correct answer:

$\frac{2}{6}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{5}{6}-\frac{3}{6}=\frac{2}{6}$

Report an Error

View Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

View Tutors

Eva
Certified Tutor

Technicka Univerzita Liberec, Bachelor of Education, Education.

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 Houston, SSAT Tutors in Washington DC, LSAT Tutors in Denver, Physics Tutors in Chicago, Algebra Tutors in San Diego, Chemistry Tutors in Miami, French Tutors in San Diego, Calculus Tutors in Los Angeles, GMAT Tutors in Los Angeles, Physics Tutors in Atlanta

Popular Courses & Classes

SAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Boston, ISEE Courses & Classes in Houston, Spanish Courses & Classes in Phoenix, MCAT Courses & Classes in Philadelphia, SSAT Courses & Classes in San Diego, MCAT Courses & Classes in Atlanta, LSAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Washington DC, ISEE Courses & Classes in Chicago

Popular Test Prep

MCAT Test Prep in Chicago, ISEE Test Prep in Atlanta, ISEE Test Prep in Philadelphia, ISEE Test Prep in Dallas Fort Worth, SSAT Test Prep in Atlanta, SAT Test Prep in San Diego, SSAT Test Prep in Washington DC, ACT Test Prep in Houston, ISEE Test Prep in San Francisco-Bay Area, MCAT Test Prep in Seattle

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 subtract fractions

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #1 : How To Subtract Fractions

Example Question #2 : How To Subtract Fractions

Example Question #3 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

Example Question #471 : Fractions

Example Question #472 : Fractions

Example Question #473 : Fractions

Example Question #961 : Numbers And Operations

All ISEE Middle Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: