< **1** 2 >

### Inverse

The **multiplicative inverse** of a number *x* is , where also applies

##### Explanation

The inverse of a fraction is created by exchanging the numerator and denominator. You can write each number as a fraction, and so

with as the inverse

You can write the number 2 also as 2^{1} and the inverse as but also as 2^{–1}. These different formats are all used in mathematics.

##### Example 1

The denominator of a fraction can itself be a fraction

##### Example 2

Sometimes you will want to simplify an inverse

##### Example 3

You can use different formats for an inverse