Question

The formula for the sum of an infinite geometric series, S-7-r, may be used to convert o 23 to a fraction. What are
the values of a, and ?
23
10
10
o aq - 23, r-100
23
a-
100
- 100
23
100
1
100

Answer 1

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

The formula is right:

Where   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      23/100 and r = 1/100