Hey there!
First, let's add the whole numbers . . .
10 + 7 = 17
-----------------------------------------------------
Finding the LCD ...
1/9 = 2/18
5/6 = 15/18
2 + 15 = 17
(If both denominators are the same, then they stay the same in the total fraction)
= 17/18
17 + 17/18 = 17 17/18 ←
The correct answer is 17 17/18
10 1/9 + 7 5/6 = 17 17/18
I hope this helps you.
Have a great day! :)