Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Quantitative : How to add 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 3 4 5 6 7 8 Next →

Example Question #1 : How To Add Fractions

Express the sum as a fraction in lowest terms:

$3 \frac{1}{2} + 5 \frac{1}{3} + 4 \frac{1}{4}$

Possible Answers:

$13 \frac{1}{12}$

$12 \frac{1}{3}$

$13 \frac{1}{9}$

$12 \frac{11}{12}$

$12 \frac{1}{9}$

Correct answer:

$13 \frac{1}{12}$

Explanation:

Rewrite the fractions in terms of their least common denominator, 12.

(LCD(2,3,4)=12)

Add, then rewrite as a mixed fraction:

$\frac{1}{2} + \frac{1}{3} + \frac{1}{4} = \frac{6}{12} + \frac{4}{12} + \frac{3}{12} =\frac{13}{12} = 1 \frac{1}{12}$

Add the integers:

3 + 5 + 4 = 12

Now add the sums:

$12 + 1 \frac{1}{12} = 13 \frac{1}{12}$

Report an Error

Example Question #2 : How To Add Fractions

$\small \frac{3}{4}+\frac{1}{3}$

Possible Answers:

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

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

$\small \frac{4}{7}$

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

$\small \frac{13}{12}$

Correct answer:

$\small \frac{13}{12}$

Explanation:

In order to add fractions we must find a common denominator. Since $\small 12$ is a multiple of both $\small 3$ and $\small 4$ , we must multiply the numerator and denominator of each fraction by a number to get a denomintor of $\small 12$ .

Since $\small 4$ times $\small 3$ is $\small 12$ , we can multiply the numerator and denominator of the first fraction by $\small 3$ .

$\small \frac{(3\cdot 3)}{(4\cdot 3)}= \frac{9}{12}$

Since $\small 3$ times $\small 4$ is $\small 12$ , we can multiply the numerator and demonimator of the second fraction by $\small 4$ .

$\small \frac{(1\cdot 4)}{(3\cdot 4)}=\frac{4}{12}$

Now we add together the numerators.

$\small \frac{9}{12}+\frac{4}{12}=\frac{13}{12}$

The answer is $\small \frac{13}{12}$ .

Report an Error

Example Question #1 : How To Add Fractions

If a rectangle has a length of $\small \frac{1}{2}$ and a width of $\small \frac{1}{8}$ what is the perimeter of the rectangle, in simplest form?

Possible Answers:

$\small \small \frac{6}{8}$

$\small \frac{1}{5}$

$\frac{5}{4}$

$\small \frac{4}{8}$

$\small \frac{4}{20}$

Correct answer:

$\frac{5}{4}$

Explanation:

In order to find the perimeter of a rectangle, you add together all the sides. In this particular case, however, you must first find a common denominator for all of the fractions. Luckily, $\small 8$ is a multiple of $\small 2$ , so we can multiply the numerator and denominator of $\small \frac{1}2{}$ by $\small 4$ to get a denominator of $\small 8$ .

$\small \frac{(1\cdot 4)}{(2\cdot 4)}=\frac{4}{8}$

Now we simply add all four sides.

$\small \frac{4}{8}+\frac{4}{8}+\frac{1}{8}+\frac{1}{8}=\frac{10}{8}$

Since $\small \frac{10}{8}$ can be reduced by dividing the numerator and denominator by $\small 2$ , we must simplify.

$\small \frac{(10/2)}{(8/2)}=\frac{5}{4}$

The perimeter of the rectangle is $\small \frac{5}{4}$ .

Report an Error

Example Question #1 : How To Add Fractions

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

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

Which is the greater quantity?

(a) x + y

(b)

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) and (b) are equal

Explanation:

Add both sides of the two equations:

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

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

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

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

x + y =1+1

x + y =2

Report an Error

Example Question #11 : Numbers And Operations

t - 4.5 = 8.9

$y -6 \frac{1}{10} = 7 \frac{2}{5}$

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:

(b) is greater

Explanation:

(a) t - 4.5 = 8.9

t - 4.5 + 4.5 = 8.9 + 4.5

t = 13.4

(b) $y -6 \frac{1}{10} = 7 \frac{2}{5}$

$y -6 \frac{1}{10} + 6 \frac{1}{10} = 7 \frac{2}{5} + 6 \frac{1}{10}$

$y = 7 \frac{4}{10} + 6 \frac{1}{10} = 13 \frac {5}{10} = 13 \frac{1}{2}$

$13 \frac{1}{2} = 13.5 > 13.4$

Report an Error

Example Question #1 : How To Add Fractions

Column A Column B

$\frac{2}{5}+\frac{1}{2}$ $\frac{1}{9}+\frac{7}{8}$

Possible Answers:

The quantity in Column A is greater.

The quantities in each column are equal.

There is no way to determine the relationship between the quantities in the columns.

The quantity in Column B is greater.

Correct answer:

The quantity in Column B is greater.

Explanation:

First, you must add the fractions in each column. When adding fractions, find the common denominator. The common denominator for Column A is 10. Then, change the numerators to reflect changing the denominators to give you $\frac{4}{10}+\frac{5}{10}$ . Combie the numerators to give you $\frac{9}{10}.$ Then, add the fractions in Column B. The common denominator for those fractions is 72. Therefore, you get $\frac{8}{72}+\frac{63}{72}$ . Combine the numerators to get $\frac{71}{72}$ . Compare those two fractions. Think of them as slices of pizza. There would be way more of Column B. Therefore, it is greater. Also, a little to trick to comparing fractions is cross-multiply. The side that has the biggest product is the greatest.

Report an Error

Example Question #1 : How To Add Fractions

Which is the greater quantity?

(A) $\frac{3}{5} + \frac{1}{4}$

(B) 0.4 + 0.44

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:

(A) is greater

Explanation:

$\frac{3}{5} = 3 \div 5 = 0.6$ and $\frac{1}{4 } = 1 \div 4 = 0.25$ , so

$\frac{3}{5} + \frac{1}{4} = 0.6 + 0.25 = 0.85$ , the decimal equivalent of (A).

0.4 + 0.44 = 0.84 , the value of (B).

(A) is the greater.

Report an Error

Example Question #2 : How To Add Fractions

$a=1.5,\ b = 4.5$

Which is the greater quantity?

(A) $b \div a$

(B) b-a

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:

(A) and (B) are equal

Explanation:

$b \div a = 4.5 \div 1.5 = 3$

b - a = 4.5 - 1.5 = 3

The two quantities are equal.

Report an Error

Example Question #1 : How To Add Fractions

$\frac{2}{5} + \frac{1}{2} =$

Possible Answers:

$\frac{3}{7}$

$\frac{7}{10}$

$\frac{3}{5}$

$\frac{2}{10}$

$\frac{9}{10}$

Correct answer:

$\frac{9}{10}$

Explanation:

When adding fractions with different denominators, you must first find a common denominator. Some multiples of 2 and 5 are:

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

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

The first multiple 2 and 5 have in common is 10. Change each fraction accordingly so that the denominator of each is 10.

$\frac{2}{5} \times \frac{2}{2}\rightarrow\frac{4}{10}$

$\frac{1}{2}\times\frac{5}{5} \rightarrow \frac{5}{10}$

The problem now looks like this:

$\frac{4}{10} + \frac{5}{10} =$

Add the numerators once the denominators are equal. The result is your answer.

$\frac{4}{10} + \frac{5}{10} = \frac{4+5}{10}=\frac{9}{10}$

Report an Error

Example Question #1 : How To Add Fractions

$\frac{1}{10} + \frac{2}{5} =$

Possible Answers:

$\frac{3}{10}$

$\frac{1}{5}$

$\frac{1}{2}$

$\frac{7}{10}$

$\frac{3}{5}$

Correct answer:

$\frac{1}{2}$

Explanation:

When adding fractions with different denominators, first change the fractions so that the denominators are equal. To do this, find the least common multiple of 5 and 10. Some multiples of 5 and 10 are:

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

10: 10, 20, 30, 40...

Since the first multiple shared by 5 and 10 is 10, change the fractions so that their denominators equal 10. $\tfrac{1}{10}$ already has a denominator of 10, so there is no need to change it.

$\frac{2}{5}\times\frac{2}{2}\rightarrow\frac{4}{10}$

The problem now looks like this:

$\frac{1}{10}+\frac{4}{10}=$

Add the fractions by finding the sum of the numerators.

$\frac{1}{10}+\frac{4}{10}=\frac{1+4}{10}=\frac{5}{10}$

When possible, always reduce your fraction. In this case, both 5 and 10 are divisible by 5.

$\frac{5}{10}\rightarrow\frac{1}{2}$

The result is your answer.

Report an Error

← Previous 1 2 3 4 5 6 7 8 Next →

View Tutors

Robert
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, English. North Carolina Central University, Master of Arts, En...

View Tutors

Kaitlyn
Certified Tutor

Fairfield University, Bachelor of Science, Biology, General. NUI Galway Ireland, Master of Science, Neuroscience.

View Tutors

Dr Shira
Certified Tutor

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

All ISEE Middle Level Quantitative Resources

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

Popular Subjects

Chemistry Tutors in Los Angeles, Algebra Tutors in Seattle, SAT Tutors in Miami, French Tutors in Washington DC, ACT Tutors in Boston, LSAT Tutors in Seattle, English Tutors in Miami, French Tutors in Seattle, Spanish Tutors in Boston, Computer Science Tutors in San Diego

Popular Courses & Classes

LSAT Courses & Classes in Washington DC, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Atlanta, ISEE Courses & Classes in Atlanta, ISEE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Boston, MCAT Courses & Classes in New York City, SAT Courses & Classes in Washington DC, MCAT Courses & Classes in Miami, ACT Courses & Classes in San Diego

Popular Test Prep

LSAT Test Prep in Chicago, SAT Test Prep in Philadelphia, LSAT Test Prep in Los Angeles, ISEE Test Prep in New York City, GMAT Test Prep in Miami, SAT Test Prep in Seattle, ISEE Test Prep in San Francisco-Bay Area, MCAT Test Prep in Washington DC, LSAT Test Prep in Phoenix, GRE Test Prep in Miami

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 add fractions

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #1 : How To Add Fractions

Example Question #2 : How To Add Fractions

Example Question #1 : How To Add Fractions

Example Question #1 : How To Add Fractions

Example Question #11 : Numbers And Operations

Example Question #1 : How To Add Fractions

Example Question #1 : How To Add Fractions

Example Question #2 : How To Add Fractions

Example Question #1 : How To Add Fractions

Example Question #1 : How To Add 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: