Answer:
[tex]66\frac{2}{3}\% = \frac{2}{3}[/tex]
Step-by-step explanation:
Given:
[tex]66\frac{2}{3}\%[/tex]
Required
Express in its simplest form
[tex]66\frac{2}{3}\%[/tex]
Convert to improper fraction
[tex]66\frac{2}{3}\% = \frac{66*3+2}{3}\%[/tex]
[tex]66\frac{2}{3}\% = \frac{198+2}{3}\%[/tex]
[tex]66\frac{2}{3}\% = \frac{200}{3}\%[/tex]
% means [tex]\frac{1}{100}[/tex]
So, we have:
[tex]66\frac{2}{3}\% = \frac{200}{3} * \frac{1}{100}[/tex]
[tex]66\frac{2}{3}\% = \frac{200*1}{3*100}[/tex]
[tex]66\frac{2}{3}\% = \frac{2*1}{3*1}[/tex]
[tex]66\frac{2}{3}\% = \frac{2}{3}[/tex]
The expression has been finally simplified
