Note the "." on the end of "/home/.". It is important. Don't leave it out.

Then, edit the "/home" line in /etc/fstab to readNote, that's just changing "fedora00" to "fedora" and adding a "nofail" option (temporarily) so that the system will still boot even if something goes wrong there.

Then reboot. You should be up and running with your new 50GB /home. At your leisure, you can remove the "nofail" option from the /etc/fstab line, delete the /mnt/tmphome directory, and delete the "fedora00" volume group with "vgremove fedora00". (You will be prompted to delete the fedora00-home LV).

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There should be plenty of space in that "fedora" VG to expand the LVs there or create new ones. The vgs command should show you how much space is free.

OK. I followed the steps with no hiccups or problems. "vgs" shows me a "fedora" vg with 358.70g free, which seems right. But when I right click on my "Home" directory and choose "properties", it says I only have 49.4GB free. Why is that?

Because old root LV was 50G, minus the 500M home you cp'ed in there. See ToDo below.
might be more interesting.

fyi, note 1G sda4 is physically right after 100M sda2 (sda2 is non-LVM FAT16/vfat /boot/efi)
Then comes sda3, to [within 1457 little sectors of] the physical end of the disk.
Doesn't matter tho.

A lot of 463.7G sda3 PV, tho 'all owned' by VG fedora, is unallocated to any LVs.
Both the current 50G root00 (and 50G prior-root-now-home), plus swap, are allocated from there.

Maybe a 2nd install created root00 LV &added fedora00 VG sda5/4,
but I can't guess why the 1G 'gap' between sda2&3 [initially?].
/etc/lvm/backup/* might provide some 'time' history forensic info; Idk.

I've enjoyed following this, &[re]learning LVM! And esp. 'nofail' +1 #16
Study: ls -l /dev/fedora* /dev/mapper /dev/dm-* /dev/block /dev/disk/*

ToDo: make LV fedora-home bigger. (there's 358.7G available in VG fedora)
lvresize --size +50G /dev/fedora/home (I think!)
Don't give all 358.7G to home; you very well may need some for root00 someday!

You need to include the "--resizefs" option, otherwise you end up with a large LV with a small filesystem inside it, just like what happens when you enlarge a partition without enlarging its filesystem.You can safely enlarge an ext4 filesystem while it is in use. It's just shrinking one that has to be done offline. Similarly, you can enlarge the filesystem later by running "resize2fs /dev/fedora/home", but you can't get away with that when shrinking -- the shrinking of the filesystem has to come first or during the same operation.

Just so I understand, the above code will increase my home partition by 50G? And I have about 358G free? So I can safely changed that 50G to, say, 300G? i.e.

If you look at the manpage for lvresize or lvextend you will see there are several ways to specify the size. You could specify a percentage of the free space in the volume group, "-l +75%FREE" or "-l +100%FREE". As has been suggested, it might be best not to grab all the free space unless you know you're going to need it. Enlarging an LV and filesystem is easier than shrinking one, and can be done again at any time.

Excellent. Thank you very much.