If you don't have the requirement for a particular Oracle version, I would go for Oracle 11g, which is the latest.
OK, here is an installation guide:
You can download Oracle 11g from here
There is a choice of Linux x86 and Linux x86-64 for the 64-bit version, depending on your Fedora installation. Please note, that you probably need an OTN (Oracle Technology Account) Login. This is for free, so for private use, the software download is free.