Moving Oracle / Oracle datafiles to different file system on Linux We have Oracle installed on /root, which is now running out of space due to increasing data in Oracle database. On the same machine we have another file system with free space. 

I want to know the mechanism by which we can move Oracle / Oracle data files to this new file system and continue to use the same data files.

Appreciate any formal steps reference.

It is Oracle 12c on RHEL
The simplest way, in 12c, you can move datafiles online, e.g:

alter database move datafile '/current_fs/system01.dbf' to '/another_fs/system01.dbf';