Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : How to subtract 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

← Previous 1 2 3 4 5 6 7 8 9 10 11 12 Next →

Example Question #1541 : Ssat Middle Level Quantitative (Math)

$7 \frac{1}{2}$ hours is how many more minutes than $3 \frac{3}{4}$ hours?

Possible Answers:

255

185

200

225

245

Correct answer:

225

Explanation:

This question requires you to subtract fractions as well as convert hours to minutes.

Subtracting $3\frac{3}{4}$ hours $\left ( \frac{15}{4} \right )$ from $7\frac{1}{2}$ hours $\left ( \frac{15}{2}\ or\ \frac{30}{4} \right )$

you get $3\frac{3}{4}$ hours $\left ( \frac{15}{4} \right )$ .

3 hours is 180 minutes $\left ( 3\cdot 60 \right )$

and $\frac{3}{4}$ of an hour is 45 minutes $\left ( \frac{3}{4}\cdot 60 \right )$ .

Thus the answer is

$180+45=225\ minutes$

Report an Error

Example Question #1 : How To Subtract Fractions

Evaluate:

$9 - 5 \frac{3}{7}$

Possible Answers:

$4 \frac{4}{7}$

$3 \frac{4}{7}$

$3 \frac{3}{7}$

$4 \frac{3}{7}$

$4 \frac{2}{7}$

Correct answer:

$3 \frac{4}{7}$

Explanation:

"Borrow" 1 from the 9 to form $8 \frac{7}{7}$ . You can then subtract integers and fractions vertically:

$8 \frac{7}{7}$

$\underline{5 \frac{3}{7}}$

$3 \frac{4}{7}$

Report an Error

Example Question #1542 : Ssat Middle Level Quantitative (Math)

Evaluate:

$6 \frac{1}{5} - 4 \frac{1}{2}$

Possible Answers:

$1 \frac{9}{10}$

$2 \frac{3}{10}$

$1 \frac{7}{10}$

$2 \frac{1}{10}$

$1 \frac{3}{5}$

Correct answer:

$1 \frac{7}{10}$

Explanation:

Rewrite as the difference of improper fractions:

$6 \frac{1}{5} - 4 \frac{1}{2} = \frac{6 \times 5 + 1}{5} - \frac{4 \times 2 + 1}{2} = \frac{31}{5} - \frac{9}{2}$

Rewrite with a common denominator, then subtract numerators:

$\frac{31}{5} - \frac{9}{2} = \frac{2 \times 31}{2 \times 5} - \frac{9\times 5}{2\times 5} = \frac{62}{10} - \frac{45}{10} = \frac{17}{10}$

Rewrite as a mixed number:

$17 \div 10 = 1 \textrm{ R } 7$

$\frac{17}{10} = 1 \frac{7}{10}$

Report an Error

Example Question #3 : How To Subtract Fractions

Evaluate:

$8 \frac{4}{5} - 4 \frac{1}{3}$

Possible Answers:

$4 \frac{8}{15 }$

$4 \frac{1}{2 }$

$4 \frac{7}{15 }$

$4 \frac{3}{5 }$

$4 \frac{1}{3 }$

Correct answer:

$4 \frac{7}{15 }$

Explanation:

Rewrite as the difference of improper fractions:

$8 \frac{4}{5} - 4 \frac{1}{3} = \frac{8 \times 5 + 4}{5} - \frac{4 \times 3 + 1}{3} = \frac{44}{5} - \frac{13}{3}$

Rewrite with a common denominator, then subtract numerators:

$\frac{44}{5} - \frac{13}{3} = \frac{44\times 3}{5 \times 3} - \frac{5 \times13}{5 \times3} = \frac{132}{15 } - \frac{65}{15 } = \frac{67}{15 }$

Rewrite as a mixed number:

$67\div 15 = 4 \textrm{ R } 7$

$\frac{67}{15 } = 4 \frac{7}{15 }$

Report an Error

Example Question #4 : How To Subtract Fractions

Evaluate:

$5 - 1 \frac{4}{5}$

Possible Answers:

$4 \frac{1}{5}$

$3 \frac{1}{5}$

$4 \frac{4}{5}$

$3 \frac{4}{5}$

$3 \frac{3}{5}$

Correct answer:

$3 \frac{1}{5}$

Explanation:

"Borrow" 1 from the 5 to form $4 \frac{5}{5}$ . You can then subtract integers and fractions vertically:

$4 \frac{5}{5}$

$\underline{1 \frac{4}{5}}$

$3 \frac{1}{5}$

Report an Error

Example Question #1551 : Ssat Middle Level Quantitative (Math)

Give the result in simplest form:

$\frac{17}{40} - \frac{1}{40} + \frac{19}{40}$

Possible Answers:

$-\frac{3}{40}$

$\frac{7}{24}$

$\frac{3}{40}$

$\frac{37}{40}$

$\frac{7}{8}$

Correct answer:

$\frac{7}{8}$

Explanation:

$\frac{17}{40} - \frac{1}{40} + \frac{19}{40}$

$=\frac{17-1+19}{40}$

$=\frac{16+19}{40}$

$=\frac{35}{40} = \frac{35\div 5}{40\div 5} = \frac{7}{8}$

Report an Error

Example Question #7 : How To Subtract Fractions

Evaluate:

7.89 - 1.73 + 2.5

Possible Answers:

7.12

8.66

6.41

3.66

5.91

Correct answer:

8.66

Explanation:

By order of operations, subtractions and additions are carried out in left-to-right order, so subtract 1.73 from 7.89 first. This is best done vertically, aligning decimal points:

7.89

$\underline{1.73}$

6.16

Now add 2.50 to the difference (note that a zero has been added to the end), again aligning vertically by decimal point:

6.16

$\underline{2.50}$

8.66

Report an Error

Example Question #1 : How To Subtract Fractions

Evaluate:

8-3.27

Possible Answers:

5.27

5.73

3.73

4.73

4.27

Correct answer:

4.73

Explanation:

Subtract vertically by aligning the decimal points, making sure you append the 8 with a decimal point and two placeholder zeroes:

8.00

$\underline{3.27}$

4.73

Report an Error

Example Question #2 : How To Subtract Fractions

Subtract:

19 - 0.006

Possible Answers:

18.0994

-0.0013

18.9994

18.994

-0.00013

Correct answer:

18.994

Explanation:

Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending zeroes to the 19.)

$\begin{matrix} 19.000 \\ - \underline{0.006}\\ 18.994 \end{matrix}$

Report an Error

Example Question #3 : How To Subtract Fractions

Subtract

$7\frac{1}{2}-3\frac{7}{8}$

Possible Answers:

$4\frac{3}{8}$

$4\frac{5}{8}$

$3\frac{5}{8}$

$3\frac{3}{8}$

$3\frac{7}{8}$

Correct answer:

$3\frac{5}{8}$

Explanation:

Rewrite the first fraction in eighths, as LCD (2,8) = 8 :

$7\frac{1}{2} = 7\frac{1 \times 4}{2 \times 4} = 7\frac{4}{8}$

Write vertically:

$7\frac{4}{8}$

$-\underline{3\frac{7}{8}}$

Now "borrow" one from 7 and add it to the $\frac{4}{8}$ , then subtract integer and fractional parts separately:

$6\frac{12}{8}$

$-\underline{3\frac{7}{8}}$

$3\frac{5}{8}$

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 11 12 Next →

View SSAT- Middle Level Tutors

James
Certified Tutor

University of Florida, Bachelors, Biology, General.

View SSAT- Middle Level Tutors

Gregory
Certified Tutor

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

View SSAT- Middle Level Tutors

Yvan
Certified Tutor

Brigham Young University-Provo, Bachelor of Science, Mathematics Teacher Education.

All SSAT Middle Level Math Resources

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

Popular Subjects

Math Tutors in New York City, Statistics Tutors in Washington DC, Chemistry Tutors in Houston, MCAT Tutors in Philadelphia, Reading Tutors in Miami, Calculus Tutors in Miami, Statistics Tutors in Seattle, French Tutors in Chicago, French Tutors in Phoenix, Statistics Tutors in Denver

Popular Courses & Classes

SAT Courses & Classes in Seattle, ISEE Courses & Classes in Atlanta, ACT Courses & Classes in Washington DC, MCAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Boston, ACT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in New York City, GRE Courses & Classes in San Diego, LSAT Courses & Classes in Chicago, SSAT Courses & Classes in Miami

Popular Test Prep

ACT Test Prep in Washington DC, LSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in San Diego, MCAT Test Prep in Los Angeles, ACT Test Prep in New York City, ISEE Test Prep in Boston, LSAT Test Prep in Dallas Fort Worth, SSAT Test Prep in New York City, SAT Test Prep in Los Angeles

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 subtract fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1541 : Ssat Middle Level Quantitative (Math)

Example Question #1 : How To Subtract Fractions

Example Question #1542 : Ssat Middle Level Quantitative (Math)

Example Question #3 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

Example Question #1551 : Ssat Middle Level Quantitative (Math)

Example Question #7 : How To Subtract Fractions

Example Question #1 : How To Subtract Fractions

Example Question #2 : How To Subtract Fractions

Example Question #3 : How To Subtract 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: