Final answer:
Expressions B, C, and D are equivalent to -3/8 divided by -1/4 because they all involve multiplying by the reciprocal of -1/4, which results in multiplying by -4, and properly account for the sign changes.
Step-by-step explanation:
The expressions equivalent to -3/8 divided by -1/4 are based on the mathematical principles of division and multiplication of fractions and signs. Using the rule that dividing by a number is the same as multiplying by its reciprocal, we find that:
- B. (3/8) divided by (-1/4) is equivalent to (3/8) × (-4) because the reciprocal of -1/4 is -4.
- C. 3/8 × (-4) directly shows the multiplication of 3/8 by the reciprocal of -1/4.
- D. (-3/8) × (-4) is another correct expression as the two negative signs will cancel out to give a positive result.
Based on our knowledge of signs in multiplication: when two negative numbers multiply, the answer has a positive sign. Therefore, option D is equivalent to the original expression after considering the change in sign due to the reciprocal operation.