Final answer:
To simplify the expression (2/3 div (-4) - (1/6 - 8/6)), perform the division, simplify the subtraction inside the parentheses, and subtract the fractions using a common denominator. So, the simplified expression is 11/6.
Step-by-step explanation:
To simplify the expression (2/3 div (-4) - (1/6 - 8/6)), we start by performing the division.
Performing the division 2/3 div (-4) gives us -2/3.
Next, we simplify the subtraction inside the parentheses: 1/6 - 8/6 = -7/6.
Substituting these values back into the original expression, we have -2/3 - (-7/6).
To subtract fractions, we need a common denominator, which in this case is 6.
The expression becomes: (-2/3) + (7/6) = (4/6) + (7/6) = 11/6. So, the simplified expression is 11/6.