To compute the product \(-\frac{3}{8} \times 1 \frac{1}{2}\), we first need to convert \(1 \frac{1}{2}\) into an improper fraction.
\(1 \frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}\)
Now we can multiply the fractions:
\[ -\frac{3}{8} \times \frac{3}{2} = -\frac{3 \times 3}{8 \times 2} = -\frac{9}{16} \]
Next, let's check which of the answer choices, when simplified, equals \(-\frac{9}{16}\).
- A. \(\frac{260}{17}\) - Not equal to \(-\frac{9}{16}\).
- B. \(\frac{35}{3,036}\) - Not equal to \(-\frac{9}{16}\).
- C. \(\frac{1,701}{60}\) - Not equal to \(-\frac{9}{16}\).
- D. \(\frac{1,771}{60}\) - Not equal to \(-\frac{9}{16}\).
Upon checking each of the options, none of them seems to match \(-\frac{9}{16}\).
It looks like none of the options provided directly represents the product \(-\frac{3}{8} \times 1 \frac{1}{2}\) calculated as \(-\frac{9}{16}\). If you were looking for a specific method or rearrangement based on the answer choices, you might want to double-check if there are any errors or clarifications related to the options given.