Learn about Addition of Like Fractions This lesson deals with addition of like fractions. We’re given two problems. We will do them one by one. The first one says for us to add 1/16, we need to add that to 5/16. As we can see, the denominators are the same. Since the denominators are the same, we call these like fractions. In order to add these fractions, it’s actually fairly simple. What we do is we put them down, 1/16 + 5/16. Since the denominators are the same, we simply add the numerators. We will put 1 + 5. 1 + 5 is 6, so it’s 6/16. Now, to express this in simplest form, 6 and 16 have a shared GCF, the greatest common factor between the two is 2 which we divide both numbers by. Since 6÷2 equals 3 and 16÷2 equals 8, so the answer here is 3/8. Let’s try the second problem which is -1/6 - 5/16. The key thing to remember here is -1/16 and 5/16 are both with negative signs. If both of these have the same signs then this is in addition operation. If both signs are the same, it’s an addition operation. Let me explain how. Let’s look at what mean by this. -1/16 and -5/16, I can pull the negative sign aside. I could pull the negative sign out and put 1/16 + 5/16. It’s an addition operation. How do we do this? Well, exactly the same as what we did here, right? 1/16 + 5/16 is the same. So, it will be negative outside the parenthesis. 1/16 + 5/16 is 16 as common denominator, 1 + 5 is 6. Again, I can pull the negative out. 6/16, I can divide both by their GCF which is 2 which gives me -3/8. That’s what we were looking for. Key thing to remember is if it’s a negative and a negative, we can pull the negative out and the result then is a positive or an addition operation which gives us a very similar result to this except the negative sign outside.