Re: I want to make a new partition
You're mixing terms -- which can be confusing.
A partition is a physical chunk of space -- a fixed size segment of a hard drive -- which can then contain multiple folders and files.
A folder is a logical thing and does not have a fixed size -- since its size is the total of all the files contained inside it, plus a little overhead.
Partitions contain folders, not the other way around.
Also, "/" and "/home" are likely to be folders, not partitions.
We need to see how your disk is organized before providing detailed advice.
Ubuntu 14.04, Mint 17; MS Win 8.1.
Will not respond to PM requests for support -- use the forums.