Question 970373
Here is the easiest way yoou can do this.

11 11/6   +14  2/3

Isn't this 11 + 11/6  +  14  +2/3?

Now, add 11 and14=25
Now add 11/6 and 2/3

common denominator 6

11/6 + 4/6 =15/6
This is 2 1/2

you add 2 1/2 to the 25 and get 27 1/2

Alternative

11 11/6= 11 +6/6  +5/6= 12 5/6

Add 12 5/6 to  14 2/3

That is 12 + 14 + 5/6 + 2/3.  You can add in any order you wish

26 + 5/6 +2/3  common denominator is 6.  You have (5+4)/6= 9/6 = 1 1/2
Add it to 26, and you have 27 1/2

Add the integers, then add the fractions.  Don't try to convert these to improper fractions.  You would have 77/6  + 44/3.  Yes, this may be done, but it is much more difficult.