Question

Find the additive inverse of the fraction$\dfrac{3}{8}$.

Answer 1

Hint – In order to find the additive inverse, we consider the additive inverse to be a variable x and equate the sum of x and the given to zero. Then we solve for x to get the answer.

Complete step-by-step answer:

Let the additive inverse be x.

Now, according to the definition
$\dfrac{3}{8}$ + x = 0
⟹x = $ - \dfrac{3}{8}$

Hence, the additive inverse of the fraction $\dfrac{3}{8}$is$ - \dfrac{3}{8}$.

Note: In order to solve this type of questions the key is to understand the concept of additive inverse. In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. i.e. –a.