Multiplicative Inverse In Rational Number

Multiplicative Inverse of Rational Numbers

For a non-zero rational number $\frac{a}{b}$, a rational number $\frac{c}{d}$ exists such that

$\frac{a}{b} \ \times \ \frac{c}{d} \ =\ 1\ =\ \frac{c}{d} \ \times \ \frac{a}{b}$

Example: $\frac{5}{3}$ and $\frac{3}{5}$ are multiplicative inverses, and their product is 1. 

• $\frac{5}{3}$ × $\frac{3}{5}$ = 1

0 does not have a multiplicative inverse or reciprocal because $\frac{1}{0}$ cannot be defined.

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Updated on: 10-Oct-2022

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