- #1
oddjobmj
- 306
- 0
Homework Statement
Convert 23.588 (the 88 is repeating) to an improper fraction.
Homework Equations
I don't have any.
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!