Question

Convert each percent to a fraction and a decimal. 22 2/9%

Answer 1

We will have the following:

First, we transform the percentage as a simple fraction:

`22(2)/(9)=(198)/(9)+(2)/(9)=(200)/(9)\approx22.222222\ldots`

So:

`22(2)/(9)\approx22.222\ldots`

So, the percentage is approximately 22.222.

***Explanation***

First, we are given a percentage:

`22(2)/(9)\%`

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:

`22(2)/(9)=(198)/(9)+(2)/(9)=(200)/(9)`

So, the fraction form of the porcentage given is 200 / 9.

And the decimal form is given by siply operating the fraction:

`(200)/(9)=22.222222\ldots`

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.