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What is the additive inverse of (-6/7) and (101/213)?

A. (6/7) and (-101/213)

B. (6/7) and (101/213)

C. (-6/7) and (101/213)

D. (-6/7) and (-101/213)

User Mdegis
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1 Answer

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Final answer:

The additive inverse of a number is the value that makes the sum equal to zero. For the fractions (-6/7) and (101/213), their additive inverses are (6/7) and (-101/213), respectively, which is Option A.

Step-by-step explanation:

The additive inverse of a number is the value that, when added to the original number, will result in zero. To find the additive inverse of a fraction, we change the sign of the numerator while keeping the denominator the same.

Considering the fractions given in the question:

  • The additive inverse of (-6/7) is (6/7).
  • The additive inverse of (101/213) is (-101/213).

Therefore, the answer to the question is Option A: the additive inverses are (6/7) and (-101/213), resulting in a sum of zero for both cases when added to the original numbers.

User Spenser Truex
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