Final answer:
The expressions equivalent to -3/8 / -1/4 are (3/8) divided by (-1/4) and (-3/8) times (-4) because division by a fraction is equivalent to multiplication by its reciprocal, and the multiplication of two negatives results in a positive.
Step-by-step explanation:
Equivalent Expression for -3/8 / -1/4
To find the equivalent expression for -3/8 divided by -1/4, we need to understand that division by a fraction is the same as multiplication by its reciprocal. In this case, the reciprocal of -1/4 is -4, and multiplying -3/8 by -4 will give you the equivalent expression.
The correct expressions equivalent to -3/8 divided by -1/4 are:
(3/8) divided by (-1/4)
(-3/8) times (-4)
Expression A, (-8/3) divided by (-1/4), is not equivalent because the numerator is incorrect. Expression E, (-8/3) times (-4), is also incorrect for the same reason. Expression C, 3/8 times (-4), changes the sign making it non-equivalent, as the division of two negatives results in a positive.
Therefore, the correct options that are equivalent to the initial expression are:
B. (3/8) divided by (-1/4)
D. (-3/8) times (-4)