Exercise · ZW-INVERSE-ELEMENT-002 · ★☆☆ Basic

What is the inverse of 3/4 under multiplication?

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  • C. 4/3

Explanation

Under multiplication, the inverse of 3/4 is 4/3, because (3/4) · (4/3) = 1, which is the multiplicative neutral element.

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Review the concept: Inverse element

Given \(a\in G\), an element \(b\in G\) is an inverse of \(a\) if operating in both orders gives the neutral element.

\[a\ast a^{-1}=a^{-1}\ast a=e\]

More practice problems: inverse element

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