-1 2/6 +(-5 8/9)=

To add the two mixed numbers (-1 2/6) and (-5 8/9) together, we need to first convert them into improper fractions.

For (-1 2/6): -1 = -6/6 2/6 = 2/6

So, -1 2/6 = -6/6 + 2/6 = -8/6

For (-5 8/9): -5 = -45/9 8/9 = 8/9

So, -5 8/9 = -45/9 + 8/9 = -37/9

Now, we add the two improper fractions:

-8/6 + (-37/9) = -48/18 + (-37/9) = -48/18 - 74/18 = -122/18

Finally, simplify the fraction if needed:

-122/18 = -61/9

Therefore, the sum of (-1 2/6) + (-5 8/9) is -61/9.