Add the opposite number of 1 1/5 to the sum of the numbers (-8 3/4) and (-2 5/6).

Start by finding the sum of (-8 3/4) and (-2 5/6). Find the least common denominator (LCD). 12 is the first thing that both 4 and 6 will evenly divide into, so we convert both fractions to 12ths:

-8 3/4 = - 8 9/12 (multiply 4 by 3 to get 12, so multiply the numerator, 3, by 3 as well)

-2 5/6 = - 2 10/12 (multiply 6 by 2 to get 12, so multiply the numerator, 5, by 2 as well)

-8 9/12 + - 2 10/12 = - 10 19/12

We must convert the improper fraction. 12 goes into 19 1 time with 7 left over, so 19/12 = 1 7/12

This means that - 10 19/12 = - 11 7/12

The opposite of 1 1/5 is - 1 1/5. Add this to - 11 7/12. Again find the LCD; in this case it is 60.

-1 1/5 = - 1 12/60

-11 7/12 = - 11 35/60

Adding these two we get - 12 47/60.