Which of the following is equivalent to (7/4)(1/2)?

To determine which of the choices is equivalent to the expression (7/4)(1/2), we start by multiplying the two fractions together.

First, multiply the numerators and the denominators:

[

(7/4) \times (1/2) = \frac{7 \times 1}{4 \times 2} = \frac{7}{8}.

]

Now, to convert the fraction (\frac{7}{8}) into a decimal, we can divide 7 by 8. Performing this division:

[

7 \div 8 = 0.875.

]

This means that (\frac{7}{8}) is equivalent to 0.875 when expressed as a decimal.

Thus, the answer is indeed correct because the calculated decimal form of (\frac{7}{8}) aligns with the choice of 0.875. The other choices represent different decimal values that do not equal (\frac{7}{8}).