We will have the following:
First, we transform the percentage as a simple fraction:
[tex]22\frac{2}{9}=\frac{198}{9}+\frac{2}{9}=\frac{200}{9}\approx22.222222\ldots[/tex]
So:
[tex]22\frac{2}{9}\approx22.222\ldots[/tex]
So, the percentage is approximately 22.222.
***Explanation***
First, we are given a percentage:
[tex]22\frac{2}{9}\%[/tex]
Now, in order to determine a fraction that represents this percentage we will have to bear in mind the following:
*A fraction represents a porcentage, so after solving for a simple fraction of the percentage given we obtain as solutions the simple fraction, that is:
[tex]22\frac{2}{9}=\frac{198}{9}+\frac{2}{9}=\frac{200}{9}[/tex]
So, the fraction form of the porcentage given is 200 / 9.
And the decimal form is given by siply operating the fraction:
[tex]\frac{200}{9}=22.222222\ldots[/tex]
So, it's decimal form is 22.222222... So, it is an infinitely long decimal, so we approximate its form, and it will be approiximately 22.2.
