Not touching the MBR, just resizing the partition that contains the "/" folder as it is running out of space.
"/" is just one of an ordinary partition. The more critical is the /boot partition which distro nowadays put it into a separate partitions.
Just use your gpart increase the size of your root partition and resize the filesystem.
There are also other ways of doing things without increasing the size of your root partition. Find out which path your filesystem that you are using a lot of space, create a new filesystem on another device, hard disk for example, then mount that device under the path
For example, if you find your current device is going to flood, then if I assume it is because your /home requires more space, move everything in /home to another filesystem in another device, then mount that new device under /home
ALSO
It is very usual nowadays distro creates filesystem using Logical Volume Manager(LVM). If so, adding devices to existing volumes are possible and easily achieve without the complexity in shifting mount points to other devices. Read up more on LVM.
Type "lvdisplay", and "mount", show me your disk layout for better advice.