What is the additive inverse of the following expression?

(1/2 + 1/3 + ¼ ) / (½ - 1/3)

(1/2 + 1/3 + ¼ ) / (½ - 1/3) For finding the additive inverse of the above expression, we need to find the value of the above expression.

Additive inverse of a number is negative value of the same number. So, addition of these two numbers will be zero. For example, additive inverse of 1 is - 1 (As 1 - 1 = 0).

Now, the value of the given expression is (1/2 + 1/3 + ¼ ) / ( ½ - 1/3)

= {(6 + 4 + 3) / 12} / {( 3-2)/6}

= {13/12} / {1/6}

= 13/2

Therefore, additive inverse of the given expression is - 13/2 so that 13/2 - 13/2 = 0.