(628)-272-0788 info@etutorworld.com
Select Page

Adding And Subtracting Fractions

Grade 7 Math Worksheets

Add Fractions with Common Denominators

If the denominators of fractions are the same, just add the numerators keeping the denominators unchanged

Adding Fractions with Common Denominators

Subtract Fractions with Common Denominators

If the denominators of fractions are the same, just subtract the numerators keeping the denominators unchanged

Subtracting Fractions with Common Denominators

Personalized Online Tutoring

Adding And Subtracting Fractions - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

"We really love eTutorWorld!"

"We really love etutorworld!. Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)

"My daughter gets distracted easily"

"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.

With the help of Etutorworld, my daughter has been now selected in the Gifted and Talented Program   for the school district"

- Nivea Sharma (via TrustSpot.io)

Add Fractions with Different Denominators

If denominators are different, arrive at each fraction with common denominators and then add.

Adding Fractions with Different Denominators

Subtract Fractions with Different Denominators

If denominators are different, arrive each fraction with common denominators and then subtract

Subtracting Fractions with Different Denominators

There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.

Our kid is doing much better with a higher score.

- Meg, Parent (via TrustSpot.io)

7th Grade Tutoring

eTutorWorld offers Personalized Online Tutoring for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under $22.49 per hour, and come with a moneyback guarantee.

Schedule a FREE Trial Session, and experience quality tutoring for yourself. (No credit card required.)

Example Questions

1. Add 17/5 + 3/5

Solution

The fractions are having common denominators. So adding the numerators and keeping the denominator same is given below

17/5 + 3/5 = (17 + 3)/5 = 20/5 = 4

2. Add 3/4 + 7/12

Solution

Denominators are different. The solution is having common denominators by taking the LCM of the denominators and then solving them by adding the numerators.

The LCM of 4 and 12 is 12

So equivalent fraction of 3/4 = 9/12

So 3/4 + 7/12 = 9/12 + 7/12 = 16/12

Simplifying 16/12 gives 4/3 which is 1 1/3

3. Subtract 19/3 – 7/3

Solution

The fractions are having common denominators. So adding the numerators and keeping the denominator same is given below

19/3 – 7/3 = (19 – 7)/3 = 12/3 = 4

4. Subtract 1/2 from 3/4

Solution

Denominators are different. The solution is having common denominators by taking the LCM of the denominators and then solving them by Subtracting the numerators.

The LCM of 2 and 4 is 4

So equivalent fraction of 1/2 = 2/4

So 3/4 – 1/2 = 3/4 – 2/4 = 1/4

Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

Adding And Subtracting Fractions FAQS

What are fractions?

Fractions represent a part of a whole. They consist of a numerator (the top number) representing the part being considered and a denominator (the bottom number) representing the total number of equal parts in the whole.

How do you add fractions with the same denominator?

To add fractions with the same denominator, simply add the numerators together while keeping the denominator the same. For example, 3/5 + 2/5 = (3 + 2)/5 = 5/5 = 1

How do you add fractions with different denominators?

To add fractions with different denominators, first find a common denominator, then rewrite each fraction with that denominator, and finally add the fractions together. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12

How do you subtract fractions with the same denominator?

To subtract fractions with the same denominator, subtract the numerators while keeping the denominator the same. For example, 5/8 – 2/8 = (5 – 2)/8 = 3/8

How do you subtract fractions with different denominators?

Similar to adding fractions with different denominators, first find a common denominator, then rewrite each fraction with that denominator, and finally subtract the fractions. For example, 3/5 – 1/6 = 18/30 – 5/30 = 13/30

What is the simplest form of a fraction?

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/6 simplifies to 2/3.

Can fractions with different denominators be added or subtracted directly?

No, fractions with different denominators cannot be added or subtracted directly. They must first be converted to equivalent fractions with the same denominator.

What are mixed numbers?

Mixed numbers consist of a whole number part and a fractional part. For example, 3 1/4 is a mixed number representing 3 wholes and 1/4 of another whole.

Can mixed numbers be added or subtracted directly?

Yes, mixed numbers can be added or subtracted directly by first converting them to improper fractions, performing the operation, and then converting the result back to a mixed number if necessary.

How do you check your answer when adding or subtracting fractions?

To check your answer when adding or subtracting fractions, make sure the result is in its simplest form and that the numerator is less than the denominator. Additionally, you can perform a quick mental check by estimating the answer to see if it makes sense in the context of the problem.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

Affordable Tutoring Now Starts at Just $22.49

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

K12 Online Tutoring Free Trial - Step 1K12 Online Tutoring Free Trial - Step 2K12 Online Tutoring Free Trial - Step 3

 

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a FREE TRIAL Session with us today.

*There is no purchase obligation or credit card requirement

Save 10% on ALL Tutoring Packs with Code BLOOM10
0
Days
0
Hours
0
Minutes
0
Seconds
Save 10% with Code BLOOM10
0
Days
0
Hours
0
Minutes
0
Seconds