Main content

## Adding and subtracting fractions with like denominators

Current time:0:00Total duration:1:35

# Adding mixed numbers with like denominators

## 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.