Final answer:
To evaluate the expression, we start by dividing -15 by 1/2, then multiply the result by 1/3 and 1/4 in turn. The final answer, after performing these operations, is -5/2.
Step-by-step explanation:
Understanding the Fraction Operation
To evaluate 1/3 (-15 divided by 1/2) 1/4, let's break it down step-by-step. Initially, we divide -15 by 1/2; in mathematical terms, dividing by a fraction is the same as multiplying by its reciprocal. Therefore, -15 divided by (1/2) is the same as -15 multiplied by 2, which equals -30. The next step involves multiplying this result by 1/3, and -30 times 1/3 gives us -10. Finally, we multiply -10 by 1/4. Consequently, multiplying -10 by 1/4 yields -2.5 or -5/2, which matches answer option A.