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I don't use Fedora myself, but from [the documentation](https://docs.fedoraproject.org/en-US/fedora/f34/install-guide/install/Installing_Using_Anaconda/#sect-installation-gui-storage-partitioning), it looks like it doesn't use LVM [unless you explicitly set that up](https://docs.fedoraproject.org/en-US/fedora/f34/install-guide/install/Installing_Using_Anaconda/#sect-installation-gui-manual-partitioning) during installation, but rather Btrfs [by default](https://fedoraproject.org/wiki/Btrfs#Default_filesystem.2C_on_the_desktop). How your system is actually set up could however very well depend on what the defaults were for the distribution version you initially installed; if your installation has been around for a while and upgraded along the way, this could trivially be different.

Please note that I'm not familiar with Btrfs, so I'm going here by what I can find in documentation. That said:

To see whether you're using Btrfs, try `btrfs filesystem show --mounted` ([see also](https://btrfs.wiki.kernel.org/index.php/Manpage/btrfs-filesystem#SUBCOMMAND)).

It looks like [another possible way](https://btrfs.wiki.kernel.org/index.php/SysadminGuide#Layout) to determine whether your system is using Btrfs by looking at `/etc/fstab` for entries with the `btrfs` file system type; for example:

    $ awk '$3 == "btrfs" { print }' </etc/fstab

If your system is using Btrfs and isn't set up already with `/home` on a subvolume of its own, it *should* be *relatively* simple to just move `/home` onto one (you'll want to do that in single-user mode, but that's about it), and simply not touch that subvolume during the Fedora 35 installation. You may need to fiddle some with the system configuration afterwards to get it to mount instead of the `/home` content created during the installation, and of course your `/etc/passwd` and friends will have to match for it to be of much actual use.

*Make sure to back up anything you care about before doing the installation;* OS installations (and in-place upgrades) are always a high-risk operation, *especially* when they involve file system twiddling and fighting the defaults!

If your system is using plain ext\* file systems on partitions directly on the underlying storage with basically just a single-root partition scheme, it's probably going to be difficult to convert to LVM in-place, but since you already said that you want to wipe everything but `/home` anyway, you might not need to. Rather, to end up in such a state, I would consider backing up `/home` and then starting with a clean slate with LVM, then restoring your backup. I say it again: **make sure to back up what you care about!** As a bonus, after the installation, you'll have a good starting point for implementing regular backups, which are a very good thing to have in any case.

I suggest to also keep in mind that by going with something other than the actual current defaults, especially for something as central as partitioning and file system types, you place yourself in a worse situation in getting advice from people who actually use the distribution and may run into edge cases that aren't tested for, or tested as well (even more so than in general with how Fedora is rather [bleeding edge](https://en.wikipedia.org/wiki/Fedora_Linux) and an [early adopter](https://en.wikipedia.org/wiki/Fedora_Linux#Features) to begin with).