1) -0.2 + 1/6 + (-8 1/15)

First, let's convert all the terms to have a common denominator. The common denominator for 6 and 15 is 30.

-0.2 = -6/30
1/6 = 5/30
-8 1/15 = -8 * 15/15 + 1/15 = -120/15 + 1/15 = -119/15

Now, we can add the terms:

-6/30 + 5/30 + (-119/15)
(-6 + 5 - 119) / 30
-120 / 30
-4

Therefore, the result is -4.

2) 6,7 + (2 1/3 - 9 2/5)

First, let's convert all the terms to have a common denominator. The common denominator for 3 and 5 is 15.

2 1/3 = 7/3
9 2/5 = 47/5

Now, we can subtract the terms:

7/3 - 47/5
(35/15 - 47/15) / 1
(-12/15) / 1
-4/5

Now, we can add the terms:

6,7 + (-4/5)
6 + 4 + 7/10
10 7/10

Therefore, the result is 10 7/10.