How do you find the additive and multiplicative inverse of -4 3/5?

1 Answer
Jul 6, 2017

Additive inverse: +4 3/5

Multiplicative inverse (reciprocal) -5/23

Explanation:

Additive inverses add up to zero.
This means that the numbers are the same, but they have opposite signs.

(-3) + (+3) =0" or "(+x) + (-x)=0

So in this case, the additive inverse of -4 3/5 " is " +4 3/5

The multiplicative inverse is also known as the reciprocal.

Multiplicative inverses multiply to give 1

2/3 xx 3/2 = 1" or "a/b xx b/a =1

In this case:

-4 3/5 = -23/5" "larr write as an improper fraction

-23/5 xx -5/23 = 1