I have a 40GB hard drive which I used to have two OS, one with 30GB and one with 10GB, However I removed the one with 30GB and I would like to move the /home partition out of the 10GB and use that unalocated space for all my date files so the remain 10GB will be just for /root
I would really like some help and suggestion on how to do that.
I will appreciate all advices. Thank you!

How far are you in the process?
It should be pretty straight forward

1) Using fdisk, delete the 30GB partition, and create a new partition and ext4 filesystem in its place
2) Mount the new (blank) filesystem in some temp directory, call it /mnt/temp
3) Log out any regular users, log in as root
4) Execute "cp -a /home/* /mnt/temp/"
5) Execute "mv /home /home.backup"
6) Execute "mkdir /home"
7) Unmount the drive from /mnt/temp, and add it to fstab to mount at /home
8) Execute "mount -a", make sure /home looks like it should
9) Reboot the machine to make sure everything comes up as it should
10) Remove the /home.backup directory

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Thank you. I havent try any of these steps yet. The partition is already ext4 formated but I wouldnt want to delete and then create another partition. There is another user in that system that has already the /home directory there. I was trying to just move my there too.

Thank you.