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

-2 1/3 = -7/3
-1 7/9 = -16/9
-2 1/6 = -13/6
0.9 = 9/10
3 1/5 = 16/5

Now we can add the fractions:

-7/3 + (-16/9) - 13/6 + (-9/10) + 16/5

To add fractions, we need to find a common denominator. The least common denominator for 3, 6, 10, and 5 is 30.

-7/3 = -70/30
-16/9 = -160/90
-13/6 = -65/30
-9/10 = -27/30
16/5 = 96/30

Now we can add the fractions:

-70/30 + (-160/90) - 65/30 + (-27/30) + 96/30
-70/30 - 160/90 - 65/30 - 27/30 + 96/30
-70/30 - 160/90 - 65/30 - 27/30 + 96/30 = -226/30
-226/30 = -113/15

Therefore, the final answer is -113/15 or -7 8/15.