Is the inverse of -1/3

-3?

which inverse ?

the additive inverse, the multiplicative inverse ?

Additive

To find the inverse of a fraction, you can simply swap the numerator and the denominator. In this case, the inverse of -1/3 would be -3/1, which is equal to -3. So, yes, the inverse of -1/3 is -3.

To verify this, you can multiply the original fraction by its inverse. If the product is equal to 1, then the two fractions are inverses of each other. Let's perform the calculation:

-1/3 * -3/1 = (-1 * -3) / (3 * 1) = 3 / 3 = 1

Since the product is indeed 1, the inverse of -1/3 is -3.