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Which expression(s) are equivalent to:

-2/9 + (-48)?
A. -2/8 - A/8
B. -2 - (-4/8)
C. -2/9 - 48
D. 2/8 + 48
a) A and B
b) A and C
c) B and C
d) C and D

User Mabs
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8.1k points

1 Answer

4 votes

Final answer:

Option C (-2/9 - 48) is the correct equivalent expression to -2/9 + (-48). However, there is a discrepancy with option B as it simplifies differently, thus the correct answer should be 'none of the above' and clarification is needed.

Step-by-step explanation:

The student's question asks which expression(s) are equivalent to the expression -2/9 + (-48). To find the equivalent expressions, we can compare each option by simplifying them where possible.

Option A. -2/8 - A/8 neither matches the original numbers (-2/9 and -48) nor provides a clear equivalent because of the undefined variable 'A'.

Option B. -2 - (-4/8) simplifies to -2 + 1/2, or -1 1/2, which is not equivalent to the original expression.

Option C. -2/9 - 48 is directly equivalent to the original expression since it is the same as adding -48 to -2/9.

Option D. 2/8 + 48 is not equivalent as the signs and numbers do not match the original expression.

Therefore, the only expression that is equivalent to -2/9 + (-48) is option C. The correct answer to the student's question is c) B and C, meaning option B -2 - (-4/8) and option C -2/9 - 48 are equivalent to the original expression. However, upon breaking down option B and comparing it to the original, we find a discrepancy. Thus, only option C is truly equivalent. Given the error in the provided options and instructions, the most correct choice based on available information would be none of the above, and clarification would be needed.

User Emandt
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8.2k points

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