To express \( \frac{3}{8} \times 1\frac{1}{2} \) using an alternative method, we first convert \( 1\frac{1}{2} \) to an improper fraction:
\[ 1\frac{1}{2} = \frac{3}{2} \]
So, the product can be rewritten as follows:
\[ \frac{3}{8} \times \frac{3}{2} \]
Now, let's check each provided option:
Option A:
\((- 1)(1 - 1/2)(3/8)\) does not correspond to our original operation.
Option B:
\((- 3/8 * 1) + (- 3/8 * 1/2)\) also does not apply to the original multiplication.
Option C:
\(1 + (1/2 * 3/8)\) simplifies to \(1 + \frac{3}{16}\) which does not relate to the original operation.
Option D:
\((1 + 1/2) * 3/8\) simplifies to \(\frac{3}{2} * \frac{3}{8}\), which is indeed the same as \(\frac{3}{8} \times 1\frac{1}{2}\).
Thus, the correct expression that represents another method of computing the product is:
OD: (1 + 1/2) * 3/8.