Can you confirm you have a single SATA disk, possibly of +/- 80GB capacity?
Then the 1st partition might be /boot under fedora, and the rest one big filesystem.
If you went as far as reformatting under fedora, chances are your previous data is gone, sorry...
(LVM probably stands for "logical volume manager", xhich I have never used myself)
If you mount sda1 under Knoppix, can you browse any content?