I'm looking to discover more fractions that have interesting* decimal expansions. (I'm asking out of curiosity, there is no particular academic reason as far as I'm concerned).
Here are a few examples:
(and so on...)
This post talks about:
This Numberphile video talks about how:
'generates' the 3-digit integers (except $998$). Similar patterns arise with $1/99$, $1/9999$, and so on.
*I realize that 'interesting, fun or noteworthy' might make this question a bit open-ended or subjective, hence the 'soft-question' tag. Then again, I find it difficult to be more specific about what I'm looking for.