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## 5th grade foundations (Eureka Math/EngageNY)

### Course: 5th grade foundations (Eureka Math/EngageNY) >Unit 3

Lesson 2: Topic B: Foundations

# Adding mixed numbers with like denominators

Think of a mixed numbers as a number AND a fraction. You can add numbers....you can add fractions with like denominators. Therefore, you can add mixed numbers! Watch. Created by Sal Khan.

## Want to join the conversation?

• if common denominators are equal what do u do
• what about three fractions, how do you add them with that many fractions?
• 1 1/2 x 3/4= ? I have been out of school so long forgot how to do fractions
• What if you add the mixed number, and the numerator is bigger then the denominator?
(1 vote)
• Let's take an example:
1 3/5 + 2 3/5

So, when you add, you'll get:
3 6/5

Here, the numerator is larger than the denominator, which means you can further simplify. Remember, a mixed number is basically a simpler way of writing down an addition. In the case here, 3 6/5 is basically saying 3 + 6/5.
6/5 can be further simplified to 1 + 1/5, which means you're basically saying 3 + 1 + 1/5

So, 3 6/5 simplifies to 4 1/5.
• i like it it help me a lot
• Can someone answer this does it, mater, when you have two of the same fraction and you sure adding them such as 4 3/8+ 4 3/8
• What do you do if it is already a mixed number and an improper fraction
• Assuming that the fraction part of the mixed number and improper fraction both have common denominators already, you just add the fractions the regular way, then apply the whole number part onto it.

For example, 5 and 3/4 plus 7/4

• 3/4 + 7/4 = 10/4 =5/2

• 5 and 5/2 (or 15/2 as an improper fraction)
(1 vote)
• What is a whole number component and fractional component?
• how to do adding and subtractions fraction
(1 vote)
• How do you divide fractons Conner?
(1 vote)
• 29lee, you can divide fractions by basically flipping the number on the right upside down, then multiplying normally. For example:
19/42 ÷ 1/6 = ?
Turn the number on the right into a reciprocal (flip it upside down), then multiply normally.
19/42 x 6/1 = 114/42
114/42 can be simplified into 57/21, by dividing both numbers by 2, but 114/42 is the original answer. Hope this helps, 29lee.
(1 vote)

## Video transcript

Let's add these two mixed numbers. 2 and 5/13 plus 7 and 6/13. And the way I like to think about in my head, I like to separate out the mixed numbers into the whole number component and the fractional component. So we can rewrite 2 and 5/13 as 2 plus 5 over 13. And then we can write that plus. And then 7 and 6/13, we can rewrite as plus 7 plus 6/13. So all I did is I rewrote this. And I essentially expanded it out. I broke up the mixed numbers into their whole number parts and their fractional parts. And then what I like to do is I like to add the whole number parts. So this 2 plus this 7, so I'll do that. So I'll do the 2 plus 7 over here. I'll add those up. And to that, I will add the fractional parts. So to that, I will add the 5/13 to the 6/13. So if we add the whole number parts, 2 plus 7 is 9, and the fractional parts, they already have the same denominator in this problem. 5/13 plus 6/13, same denominator. You're going to get 11/13. 5 plus 6 is 11. So you get 9 plus 11/13. Well, that's just the same thing as 9 and 11/13. And we are done.