Final answer:
All options except C) 3/(-5) are equivalent to -3/5 because they either involve the division of two negative numbers which results in a positive, or they present the original fraction in different notation.
Step-by-step explanation:
The student has asked which of the following is not equivalent to -3/5. To find the answer, we need to understand how negative numbers work in division. When two negative numbers are divided by each other, the negatives cancel out, making the result positive. Similarly, when a positive number is divided by a negative, or vice versa, the result is negative.
- A) (-3)/(-5) results in a positive 3/5 because the two negatives cancel each other out.
- B) (-3)/-(5) is essentially the same as A, where the division by a negative makes the result positive, so it's also 3/5.
- C) 3/(-5) results in -3/5 because a positive divided by a negative is negative.
- D) (-3/5) is simply the original fraction presented in a slightly different notation, so it is still -3/5.
Therefore, all options A, B, and D are equivalent to -3/5, but option C is not equivalent because it yields a positive result, 3/5. The correct answer is C) 3/(-5).