1. The problem statement, all variables and given/known data Convert 23.588 (the 88 is repeating) to an improper fraction. 2. Relevant equations I don't have any. 3. The attempt at a solution I'm not sure of the best way to go about this so I've taken a method that I've seen on some problems that were more simple as they didn't have the 23.5 in front of the repeating decimal. I see that this can be broken down into: 23 + .5 + 8/10 + 8/10(1/10) + 8/10(1/10)^2...etc. Although, I'm really not sure how to collapse the infinite progression of 8/10(1/10)^n into an actual number. I've tried plugging 8/10 in for 'a' and 1/10 in for 'r' in the infinite progression equation: a/(1-r) This results in 8/9 then adding 1/2 to that we get 25/18 and then adding 23 to that I get 439/18 However, this result is not correct. Any help/suggestions are welcome. Thank you for your time!