To simplify this expression, we first need to convert the mixed numbers to improper fractions.

1 2/3 = 5/3
2 4/9 = 22/9
4 26/27 = 122/27
2 2/9 = 20/9

So the expression becomes:

(5/3 + 22/9) / (122/27 - 20/9)

Now, we need to find a common denominator for each fraction in the expression:

(15/9 + 22/9) / (122/27 - 20/9)
(37/9) / (122/27 - 20/9)

Now, we can simplify the fractions:

37/9 divided by 102/27
37/9 multiplied by 27/102
(3727)/(9102)
999/918

Therefore, the simplified expression is 999/918, which can be further simplified to 37/34.