Express 0.545454... as a fraction in its simplest form.

This problem can be solved by using algebra and rearranging as follows:

Let x = 0.545454...
Then 100x = 54.545454...

If we then subtract x from 100x we get:
99x = 54 or rearranged x = 54/99
(This works to eliminate the reoccurring decimal part of the equation)

Now by dividing numerator and denominator by 9 we get:x = 6/11 the answer in it's simplest form.