Need some advice/help on deleting a Linux partition

Here is my situation:
I have a laptop triple booting with Win7, Ubuntu and Mint as I was mucking around with distros. I now want to get rid of my Ubuntu partition and free the space up for Mint.
My Ubuntu partion is sda6 and my Mint partition is sda7.
Gparted won't let me delete the sda6 partition as it states that a higher partition number (sda7) exists.
Is there a way to renumber the partitions?
Am I better off just backing up the Mint install, deleting both partitions and then recreating the larger partition to restore the Mint install?
Is there another option?

I've never seen an error like that before..

Have you tried fdisk/gdisk?

gdisk /dev/SDA
d
6
w

Should delete partition 6. You should check those are the correct commands first that's off the top of my head.

Edit. I can't even find your error on Google. Is that exactly what it says? Are you using gpt partitioning or lvm with MBR?

Also I moved this to the help desk section.

Cheers for that.
I am not in front of my laptop to double check it but I will later tonight.

Eden,

The error message in GParted actually is:
**Unable to delete /dev/sda6
Please unmount any logical partitions having a number higher than 6**

I have an extended partition sda4 under which are my Linux partitions and swap file location.

What I might do is just format sda6 to ext4 and try and shrink it down after.