Question

The additive inverse of $-\frac{3}{5}$ is _______?

• A. $-\frac{3}{5}$
• B. $\frac{5}{3}$
• C. $\frac{3}{5}$
• D. $-\frac{5}{3}$

Answer 1

The correct option is C

$\frac{3}{5}$

Determine the additive inverse of $-\frac{3}{5}$.

The explanation for the correct option:

Additive inverse is a number obtained by changing the sign of the number such that adding it to the original number to get an answer equal to $0$.

Additive inverse of any no. $\overline{)a}a\in \mathrm{ℝ}$ is $-a$

Thus, the Additive inverse of $-\frac{3}{5}$ is $-1\times -\frac{3}{5}=\frac{3}{5}$

Such that, $-\frac{3}{5}+\frac{3}{5}=0$

Hence, the additive inverse of $-\frac{3}{5}$ is $\frac{3}{5}$.

Hence, the correct option is “Option C”.

The explanation for the incorrect option:

Since the Additive inverse of $-\frac{3}{5}$ is calculated above is not equivalent to the values mentioned in Option A, Option B, and Option D.
Hence, Option A, Option B, and Option D are incorrect options.

Hence, the correct option is “Option C”.