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Answer: -1/3

Step-by-step explanation: In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x-1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. Sice -3 can also be shown as -3/1, all we do is flip this to get -1/3.

The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].

What is a multiplicative inverse?

"The multiplicative inverse of a number is defined as a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'x' denoted by  [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex]."

A multiplicative inverse or reciprocal for a number x is denoted by [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex], The multiplicative inverse of a fraction [tex]\frac{a}{b}[/tex] is [tex]\frac{b}{a}[/tex].

Since -3 can also be written as [tex]\frac{-3}{1}[/tex]

We have to flip [tex]\frac{-3}{1}[/tex]  to get multiplicative inverse.

The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].

Thus, the multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].

Learn more about multiplicative inverse  here

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