# Inverse Property of Rational Numbers

Before we start with inverse property, let's recall some concepts about the Rational Numbers. Rational numbers are the Ratio of two integers. In other words, we can say that if two integers are stated as a ratio than the resulting number is Rational number.

Inverse Property of rational number states that the multiplication of rational number with its inverse is unity that is 1. Inverse of rational number is simply inverting the rational number that is the numerator of the parent number become the denominator of the inverse number and the denominator of the inverse number becomes the numerator of the inverse number. Thus, if we multiply the original rational number with its inverse rational number that the result is always 1 .

For example let's take an example of rational number say 21/17,

Now its inverse is 17/21

Now, (21/17) * (17/21) = 1 ( Inverse property proved)

Let us take another example say 111/19

Inverse = 19/111,

Product = (111/19)*(19/111) = 1.