We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

Create An Account

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #471 : Concepts

Subtract:

$\frac{33}{45}-\frac{10}{45}=$

Possible Answers:

$\frac{43}{45}$

$\frac{23}{45}$

Correct answer:

$\frac{23}{45}$

Explanation:

Subtract the numerators and keep the denominator the same:

$\frac{33}{45}-\frac{10}{45}=\frac{23}{45}$

Answer: $\frac{23}{45}$

Report an Error

Example Question #472 : Arithmetic

Solve:
$\small \frac{17}{4}-\frac{6}{8}=$

Possible Answers:

$\small \frac{11}{8}$

$\frac{13}{4}$

$\small \frac{11}{4}$

$\small \frac{7}{2}$

$\small \frac{9}{2}$

Correct answer:

$\small \frac{7}{2}$

Explanation:

The least common denominator between $\small 4$ and $\small 8$ is $\small 8.$

$\small \frac{17}{4}=\frac{34}{8}$

$\small \frac{34}{8}-\frac{6}{8}=\frac{28}{8}=\frac{7}{2}$

Report an Error

Example Question #473 : Arithmetic

Solve the equation:

$\frac{65}{67}-\frac{2}{67}=$

Possible Answers:

$\frac{63}{67}$

$\frac{60}{67}$

Correct answer:

$\frac{63}{67}$

Explanation:

When subtracting fractions that have the same denominator, only the top numbers are subtracted. Subtract the numerators and leave the denominators the same:

$\frac{65}{67}-\frac{2}{67}=\frac{63}{67}$

Answer: $\frac{63}{67}$

Report an Error

Example Question #474 : Arithmetic

Subtract: $\frac{52}{90}-\frac{10}{90}=$

Possible Answers:

$\frac{62}{90}$

$\frac{7}{15}$

$\frac{42}{0}$

Correct answer:

$\frac{7}{15}$

Explanation:

Subtract the numerators and keep the denominators the same:

$\frac{52}{90}-\frac{10}{90}=\frac{42}{90}$

Reduce the fraction: $\frac{42\div 2}{90 \div 2}=\frac{21}{45}$

Reduce again: $\frac{21\div 3}{45 \div 3}=\frac{7}{15}$

Report an Error

Example Question #472 : Concepts

Solve:

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

Possible Answers:

$\frac{1}{14}$

$\frac{3}{5}$

$-\frac{1}{14}$

$\frac{1}{7}$

$-\frac{3}{5}$

Correct answer:

$\frac{1}{14}$

Explanation:

The lowest common denominator of 2 and 7 is 14.

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

$\frac{3}{7}=\frac{6}{14}$

$\frac{7}{14}-\frac{6}{14}=\frac{1}{14}$

Report an Error

Example Question #473 : Concepts

Subtract:

$\frac{5}{15}-\frac{2}{15}=$

Possible Answers:

$\frac{1}{30}$

$\frac{6}{15}$

$\frac{1}{15}$

$\frac{7}{15}$

$\frac{3}{15}$

Correct answer:

$\frac{3}{15}$

Explanation:

Subtract the numerators and leave the denominators the same:

$\frac{5}{15}-\frac{2}{15}=\frac{3}{15}$

Answer: $\frac{3}{15}$

Report an Error

Example Question #474 : Concepts

Subtract:

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

Possible Answers:

$\frac{11}{12}$

$\frac{1}{24}$

$\frac{5}{12}$

$\frac{1}{12}$

Correct answer:

$\frac{1}{12}$

Explanation:

Subtract the numerators and leave the denominators the same:

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

Answer: $\frac{1}{12}$

Report an Error

Example Question #475 : Concepts

$\frac{20}{21}-\frac{14}{21}=$

Possible Answers:

$\frac{3}{21}$

$\frac{6}{21}$

$\frac{10}{21}$

$\frac{20}{21}$

Correct answer:

$\frac{6}{21}$

Explanation:

Subtract the numerators and keep the denominator as is:

$\frac{20}{21}-\frac{14}{21}=\frac{6}{21}$

Answer: $\frac{6}{21}$

Report an Error

Example Question #476 : Concepts

Evaluate: $8 \tfrac{1}{4} - 5 \tfrac{7}{8}$

Possible Answers:

$3\tfrac{1}{8}$

$3\tfrac{1}{2}$

$3\tfrac{5}{8}$

$2\tfrac{3}{8}$

$3\tfrac{7}{32}$

Correct answer:

$2\tfrac{3}{8}$

Explanation:

Rewrite as fractions with a common denominator:

$8 \tfrac{1}{4} - 5 \tfrac{7}{8}$

$8 \tfrac{2}{8} - 5 \tfrac{7}{8}$

Now, in the first number, "borrow" eight eighths from the units column:

$7 \tfrac{8+2}{8} - 5 \tfrac{7}{8}$

$7 \tfrac{10}{8} - 5 \tfrac{7}{8}$

Subtract fractions by subtracting denominators, then subtract integers.

$7 \tfrac{10}{8}$

$\underline{5 \tfrac{7}{8}}$

$2 \tfrac{3}{8}$

Report an Error

Example Question #1322 : Ssat Middle Level Quantitative (Math)

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

Possible Answers:

3.25

3.75

4.5

4.25

4.7

Correct answer:

4.25

Explanation:

I think the easiest way to do this problem is to make a common denominator. 4 is the smallest common denominator.

$2 \frac{3}{4}$ is equivalent to $\frac{11}{4}$ .

When you add $\frac{6}{4}$ and $\frac{11}{4}$ you get $\frac{17}{4}$ .

$\frac{17}{4}$ reduces to $4 \frac{1}{4}}$ and is equivalent to 4.25 .

Report an Error

View Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

View Tutors

Kara
Certified Tutor

University of Central Missouri, Bachelor of Science, Science Teacher Education. University of Central Missouri, Certificate, ...

View Tutors

Eva
Certified Tutor

Technicka Univerzita Liberec, Bachelor of Education, Education.

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in Boston, Spanish Tutors in San Francisco-Bay Area, ISEE Tutors in Boston, Algebra Tutors in Chicago, Spanish Tutors in San Diego, GMAT Tutors in Denver, Biology Tutors in San Francisco-Bay Area, Calculus Tutors in Philadelphia, French Tutors in New York City, ACT Tutors in San Diego

Popular Courses & Classes

ACT Courses & Classes in San Diego, GMAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Seattle, GRE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Seattle, MCAT Courses & Classes in New York City, SAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Washington DC, LSAT Courses & Classes in Atlanta, Spanish Courses & Classes in Los Angeles

Popular Test Prep

SAT Test Prep in Los Angeles, GRE Test Prep in Phoenix, LSAT Test Prep in Miami, SAT Test Prep in Houston, GMAT Test Prep in Philadelphia, MCAT Test Prep in Miami, LSAT Test Prep in San Diego, MCAT Test Prep in Washington DC, GRE Test Prep in Miami, GRE Test Prep in San Francisco-Bay Area

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

HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #471 : Concepts

Example Question #472 : Arithmetic

Example Question #473 : Arithmetic

Example Question #474 : Arithmetic

Example Question #472 : Concepts

Example Question #473 : Concepts

Example Question #474 : Concepts

Example Question #475 : Concepts

Example Question #476 : Concepts

Example Question #1322 : Ssat Middle Level Quantitative (Math)

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: