To solve this problem, we first need to convert the mixed numbers to improper fractions:

8 2/3 = 8 + 2/3 = 24/3 + 2/3 = 26/3
9 8/11 = 9 + 8/11 = 99/11 + 8/11 = 107/11

Now we can subtract the two fractions:

26/3 - 107/11

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 33:

(26 11)/(3 11) - (107 3)/(11 3)
286/33 - 321/33
(286 - 321)/33
-35/33

Therefore, the result of the subtraction is -35/33, which can be simplified to -35/33 or -1 2/33.