SOLUTION: What is the additive and multiplicative inverse of a/b

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Question 1084051: What is the additive and multiplicative inverse of a/b
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The number zero does not change anything it is added to.
You can call it the neutral number for addition.
The additive inverse is what you have to add to get zero,
so the additive inverse of a%2Fb is -a%2Fb .

A similar thing happens with multiplication.
There is a neutral number that we call 1.
whatever you have multiply times a number to get 1 is that number's multiplicative inverse.
(The wrinkle is that zero does not have a multiplicative inverse).
However, as long as a%2Fb exists and is not zero,
it has b%2Fa as its multiplicative inverse.