Adding mixed numbers with like denominators

let's add these two mixed numbers 2 & 5 13 s + 7 & 6 13 s and the way I like to think about in my head I like to separate separate out the mixed numbers into the whole number component and the fractional component so we can rewrite 2 + 5 13 as 2 as 2 + 5 over 13 + 5 over 13 and then we can write that plus and then 7 + 6 13 s we can rewrite as + 7 + 6 13 plus 6/13 6 13 so all I did as I rewrote this and I essentially expand 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 thirteenth's 5 thirteenth's to the 6 13 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 13th same denominator you're going to get 11 13 11 13 s 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