Final answer:
The expression -3/4 divided by 2/(-8) simplifies to 3 after multiplying by the reciprocal of 2/(-8), which is -4. The negative signs cancel out, leaving a positive result.
Step-by-step explanation:
To simplify the expression -3/4 divided by 2/(-8), we need to first understand the division of fractions. Dividing by a fraction is the same as multiplying by its reciprocal. Since 2/(-8) simplifies to -1/4, we find the reciprocal, which is -4. Now, we flip the division problem to a multiplication: (-3/4) × (-4).
Following the rules of multiplication, specifically that when two negative numbers multiply, the answer has a +ve sign, this gives us: (-3/4) × (-4) = 3. Therefore, the simplified result is 3, which is option C.