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Q.

What is the additive inverse of $\frac{- 3}{11} ?$

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a

\frac{- 3}{11}

b

\frac{11}{3}

c

- 1

d

\frac{3}{11}

answer is D.

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Detailed Solution

To find the additive inverse of

\frac{- 3}{11}

.
In mathematics, the additive inverse of a number is the number that, when added to a, yields zero.
This number is also known as the opposite (number), sign change, and negation.
For a real number, it reverses its sign, the opposite to a positive number is negative, and the opposite to a negative number is positive.
The given rational number is

\frac{- 3}{11}

and its negative is

- (\frac{- 3}{11}) = \frac{3}{11}

.
Thus, the additive inverse of

\frac{- 3}{11}

is

\frac{3}{11}

.
Hence, option 4 is correct.

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