Can palindromes be found in the form of fractions?

Answer 1

The goal is to find a fraction that will result in a palindromatic number in its decimal form. I would start be creating a palindromatic number as a decimal. The number .585 is an example. It will be a little more fun if the whole form of the number (585) has a few two's and five's as factors, because you will be able to simplify your fraction later. The decimal .585 is clearly equivalent to 585/1000. Since the numerator has a factor of 5, we can simplify to 117/200. .58385 is 58385/100,000 and can be simplified to 11677/200. Just create any palindromatic number you like, and the more factors of 2 and 5 the better for simplifying later.