The formula for the sum of an infinite geometric series, s=a1/1-r, may be used to convert 0.23 to a fraction. What are the values of a1 and r?

I believe the number to be converted to a fraction is 0.232323..., this is 0.23 periodic.

The fomula is right:

 [tex]S= \frac{ a_{1} }{1-r} [/tex]

Where [tex] a_{1} [/tex]  is 0.23 and r is 1/100

Check it here:

    23/100          23/100         23
-------------- =    ----------- =   ------- = 0.232323...
1 - 1/100          99/100          99

So, the answer is   [tex] a_{1}= [/tex]   23/100 and r = 1/100