Answer is -3/5

Definition of Additive Inverse
The additive inverse of a number is the value that when added to the original number results in a sum of 0.

Finding the Additive Inverse of 3/5
To find the additive inverse of 3/5, we need to find the value that when added to 3/5 will give us a sum of 0. This value is also known as the opposite of 3/5.

Using the Formula
We can use the formula for finding the additive inverse of a number which is: Additive Inverse = -1 × original number.

Calculating the Additive Inverse
Substituting 3/5 for the original number in the formula, we get:

Additive Inverse = -1 × 3/5

Multiplying -1 with 3/5, we get:

Additive Inverse = -3/5

Therefore, the additive inverse of 3/5 is -3/5.

Explanation
When we add 3/5 and -3/5, we get:

3/5 + (-3/5) = 0/5

Simplifying the sum, we get:

0/5 = 0

Therefore, the additive inverse of 3/5 is -3/5 because when we add -3/5 to 3/5, we get a sum of 0.