How many times have you asked the question, "How do you add fractions?" I've found that this question is asked a lot! Fractions is one of the hardest concepts in math for students to fully understand.
This lesson will lead you through adding fractions with common denominators. Once this concept is mastered, then you will be able to move onto adding fractions with unlike denominators.
Let's get started....
We're going to start with adding fractions with common denominators. These are the easiest type of fractions to add. Why? In order to add fractions, the denominators must be the same. The term "common denominators" means that the denominators are the same.
Let's take a look at Example 1.
So, what did we do in Example 1 to add fractions? Yes, since the denominators were the same, all we needed to do was add the numerators.
Our answer to this problem (5/6) was in simplest form; however, do not forget to simplify your answer if possible.
There are two methods that are widely used when adding and subtracting fractions. The horizontal method was used in Example 1 and I will use the vertical method for Example 2.
Now you've seen the horizontal and vertical methods for adding fractions. Yes, adding fractions with common denominators is pretty easy. Just add the numerators and keep the denominator the same!
YES! You may in fact add two proper fractions and end up with an improper fraction as your answer.
In this case, you may leave your answer as an improper fraction or you may rewrite it as a mixed number. Take a look!
One last question..
YES! We add improper fractions exactly the same way. Let's take a look!
Not too hard, right? Adding fractions with the same denominator is pretty easy.
Just remember, that as long as the denominators are the same, you can add the numerators. If the denominators aren't the same, then you will need to do a little work before adding the numerators.
The best thing is that you'll also find that subtracting fractions works exactly the same way!
I hope that you no longer need to ask, "How do you add fractions?" You are ready to rock on with the other fraction lessons. Check them out below!
Sign Up for Algebra Class E-courses
"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.
It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"
Jimmy - United States
"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"
Tom - United States
"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"
Elizabeth - United States
"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."
Noel - South Africa
This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.
Reg - United States
Copyright © 2009-2013 Karin Hutchinson ALL RIGHTS RESERVED