/dev/sda3 48G 41G 4.5G 91% /home
Here you can see that /dev/sda3
mounted under /home
is not and LVM partition.
/dev/sda3 6758 13131 51199155 83 Linux
That means that you cant add 45G to your /home
partition.So if you decided to resize /home
I suggest you to backup it,delete and create a new one( my suggestion is LVM because its more easy to administrate it).