Which expression represents another method of computing the product given below?

- 3/8 * 1 1/2

OA. (- 1)(1 - 1/2)(3/8)

OB. (- 3/8 * 1) + (- 3/8 * 1/2)

OC. 1 + (1/2 * 3/8)

OD. (1 + 1/2) * 3/8

1 answer

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.