To solve this addition problem, we need to first add the numbers within the parentheses separately, and then add the results together.

First, let's add (-789 3/5) + (-101,4):

-789 3/5 + (-101,4) = -789 - 3/5 - 101 - 4
= -890 - 3/5 - 4
= -890 - 0.6 - 4
= -890.6 - 4
= -894.6

Next, let's add (-27,04) + (-72 24/25):

-27,04 + (-72 24/25) = -27.04 - 72 - 24/25
= -99.04 - 24/25
= -99.04 - 0.96
= -100

Finally, let's add the two results together:

-894.6 + (-100) = -994.6

Therefore, the final answer is -994.6.