I am upgrading to 13.10 and discovered my root partition was too small. I used partition editor to shrink my home partition by 2GB. Now I want to take the unallocated space and add it to sda1. I can't figure out how to accomplish this.
(This is an old question where I found an answer - below. It has been suggested that it is a duplicate of How to resize partitions?, but this isn't exactly the case. I was using gparted but my problem turned out to be connected to the swap.)