Is this the problem: 8 2/3 + -9 1/6 ?
If so, you will need to subtract the 8 2/3 from 9 1/6 and make your answer negative.
To subtract 2/3 from 1/6 you will need to have a common denominator; since 3 goes into 6, turn them both into 6ths: 2/3 = 4/6
9 1/6 - 8 2/3
9 1/6 - 8 4/6
Since 4/6 is greater than 1/6 rewrite the 9 as 8 + 1 and turn the 1 into 6/6:
9 1/6 = 8 + 1 + 1/6 = 8 + 6/6 + 1/6 = 8 + 7/6 = 8 7/6
Now, the problem is: 8 7/6 - 8 4/6 = 3/6 = 1/2
But since there was more negative than positive, the answer is - 1/2
Is this the problem: 8 2/3 + -9 1/6 ?
If so, you will need to subtract the 8 2/3 from 9 1/6 and make your answer negative.
To subtract 2/3 from 1/6 you will need to have a common denominator; since 3 goes into 6, turn them both into 6ths: 2/3 = 4/6
9 1/6 - 8 2/3
9 1/6 - 8 4/6
Since 4/6 is greater than 1/6 rewrite the 9 as 8 + 1 and turn the 1 into 6/6:
9 1/6 = 8 + 1 + 1/6 = 8 + 6/6 + 1/6 = 8 + 7/6 = 8 7/6
Now, the problem is: 8 7/6 - 8 4/6 = 3/6 = 1/2
But since there was more negative than positive, the answer is - 1/2