0.18... (the 8 is repeating) as a fraction in simplest form

To express a repeating decimal as a fraction, we can use the following method:

Let x = 0.188888...

Then, 1000x = 188.888...

Subtract the first equation from the second equation:

1000x - x = 188.888... - 0.1888...

999x = 188.7

x = 188.7 / 999

x = 629 / 3333

Therefore, 0.188888... as a fraction in simplest form is 629/3333.