Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 5th Grade Math : Add Fractions with Unlike Denominators

Study concepts, example questions & explanations for Common Core: 5th Grade Math

Create An Account

All Common Core: 5th Grade Math Resources

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

Example Questions

Example Question #1 : Add Fractions With Unlike Denominators

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

Possible Answers:

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{2}{6}$

$\frac{3}{4}$

$\frac{2}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

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

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

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

Report an Error

Example Question #1 : Add Fractions With Unlike Denominators

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

Possible Answers:

$\frac{7}{10}$

$\frac{1}{7}$

$\frac{8}{10}$

$\frac{2}{7}$

$\frac{7}{20}$

Correct answer:

$\frac{7}{10}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

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

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

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{2}{10}+\frac{5}{10}=\frac{7}{10}$

Report an Error

Example Question #3 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

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

Possible Answers:

$\frac{15}{11}$

$\frac{11}{30}$

$\frac{2}{8}$

$\frac{11}{15}$

$\frac{3}{8}$

Correct answer:

$\frac{11}{15}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

$\frac{1}{3}\times\frac{5}5{}=\frac{5}{15}$

$\frac{2}{5}\times\frac{3}{3}=\frac{6}{15}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{5}{15}+\frac{6}{15}=\frac{11}{15}$

Report an Error

Example Question #3 : Add Fractions With Unlike Denominators

$\frac{1}{2}+\frac{2}{7}$

Possible Answers:

$\frac{14}{11}$

$\frac{11}{28}}$

$\frac{3}{9}$

$\frac{11}{14}$

$\frac{1}{3}$

Correct answer:

$\frac{11}{14}$

Explanation:

$\frac{1}{2}+\frac{2}{7}$

In order to solve this problem, we first have to find common denominators.

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

$\frac{2}{7}\times\frac{2}{2}=\frac{4}{14}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{7}{14}+\frac{4}{14}=\frac{11}{14}$

Report an Error

Example Question #2 : Add Fractions With Unlike Denominators

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

Possible Answers:

$\frac{13}{24}$

$\frac{7}{4}$

$1\frac{1}{12}$

$\frac{4}{7}$

$\frac{12}{13}$

Correct answer:

$1\frac{1}{12}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

$\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}$

$\frac{1}{3}\times\frac{4}{4}=\frac{4}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

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

$\frac{13}{12}=1\frac{1}{12}$ because can go into one time, with one left over.

Report an Error

Example Question #4 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

$\frac{5}{6}+\frac{2}{4}$

Possible Answers:

$\frac{7}{10}$

$\frac{24}{16}$

$1\frac{1}{3}$

$\frac{12}{16}$

$\frac{16}{24}$

Correct answer:

$1\frac{1}{3}$

Explanation:

$\frac{5}{6}+\frac{2}{4}$

In order to solve this problem, we first have to find common denominators.

$\frac{5}{6}\times\frac{2}{2}=\frac{10}{12}$

$\frac{2}{4}\times\frac{3}{3}=\frac{6}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{10}{12}+\frac{6}{12}=\frac{16}{12}$

$\frac{16}{12}=1\frac{4}{12}=1\frac{1}{3}$ because and go into one time with four left over. $\frac{4}{12}$ can be reduced to $\frac{1}{3}$ by dividing the numerator and the denominator by

Report an Error

Example Question #5 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Solve the following:

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

Possible Answers:

$\frac{16}{21}$

$\frac{1}{5}$

$\frac{17}{42}$

$\frac{3}{10}$

$\frac{17}{21}$

Correct answer:

$\frac{17}{21}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

$\frac{2}{3}\times\frac{7}{7}=\frac{14}{21}$

$\frac{1}{7}\times\frac{3}{3}=\frac{3}{21}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{14}{21}+\frac{3}{21}=\frac{17}{21}$

Report an Error

Example Question #6 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Solve:

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

Possible Answers:

$\frac{6}{7}$

$1\frac{1}{6}$

$\frac{5}{6}$

$\frac{7}{12}$

$\frac{3}{5}$

Correct answer:

$1\frac{1}{6}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

$\frac{2}{3}\times\frac{2}{2}=\frac{4}{6}$

$\frac{1}{2}\times\frac{}3{3}=\frac{3}{6}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{4}{6}+\frac{3}{6}=\frac{7}{6}$

$\frac{7}{6}=1\frac{1}{6}$ because can go into one time with $\frac{1}{6}$ left over.

Report an Error

Example Question #7 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Solve:

$\frac{1}{4}+\frac{4}{8}$

Possible Answers:

$\frac{12}5{}$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{8}{6}$

$\frac{5}{12}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\frac{1}{4}+\frac{4}{8}$

In order to solve this problem, we first have to find common denominators.

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

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{2}{8}+\frac{4}{8}=\frac{6}{8}$

$\frac{6}{8}\div\frac{2}{2}=\frac{3}{4}$

Report an Error

Example Question #3 : Add Fractions With Unlike Denominators

Solve:

$\frac{4}6{+\frac{3}{8}}$

Possible Answers:

$\frac{1}{2}$

$\frac{24}{25}$

$\frac{25}{48}$

$\frac{7}{14}$

$1\frac{1}{24}$

Correct answer:

$1\frac{1}{24}$

Explanation:

$\frac{4}6{+\frac{3}{8}}$

In order to solve this problem, we first have to find common denominators.

$\frac{4}{6}\times\frac{4}{4}=\frac{16}{24}$

$\frac{3}{8}\times\frac{3}{3}=\frac{9}{24}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{16}{24}+\frac{9}{24}=\frac{25}{24}$

$\frac{25}{24}=1\frac{1}{24}$ because can go into one time with left over.

Report an Error

View Tutors

Clinton
Certified Tutor

Rensselaer Polytechnic Institute, Current Undergrad, Biology, General. Albany Medical College, PHD, Molecular and Cellular Ph...

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Kenneth
Certified Tutor

North Georgia University, Bachelors, Accounting. Brenau University, Masters, Business.

All Common Core: 5th Grade Math Resources

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

Popular Subjects

GMAT Tutors in Los Angeles, MCAT Tutors in Boston, SAT Tutors in Washington DC, ISEE Tutors in San Francisco-Bay Area, GMAT Tutors in San Francisco-Bay Area, Algebra Tutors in New York City, ACT Tutors in Miami, SSAT Tutors in Houston, Biology Tutors in Houston, Physics Tutors in Los Angeles

Popular Courses & Classes

Spanish Courses & Classes in Boston, LSAT Courses & Classes in Houston, GRE Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in New York City, MCAT Courses & Classes in Chicago, LSAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Houston, Spanish Courses & Classes in Chicago, GRE Courses & Classes in Phoenix, MCAT Courses & Classes in Atlanta

Popular Test Prep

SSAT Test Prep in Boston, MCAT Test Prep in Atlanta, ACT Test Prep in New York City, SAT Test Prep in Atlanta, SSAT Test Prep in Chicago, ISEE Test Prep in Atlanta, SSAT Test Prep in Los Angeles, LSAT Test Prep in New York City, GMAT Test Prep in Washington DC, 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

Common Core: 5th Grade Math : Add Fractions with Unlike Denominators

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #1 : Add Fractions With Unlike Denominators

Example Question #1 : Add Fractions With Unlike Denominators

Example Question #3 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #3 : Add Fractions With Unlike Denominators

Example Question #2 : Add Fractions With Unlike Denominators

Example Question #4 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #5 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #6 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #7 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #3 : Add Fractions With Unlike Denominators

All Common Core: 5th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: