It looks like these two answers might help with my problem. However, in the second answer, they give instructions on what to do with partitions during an install in order to save personal files. I don't have the same partitions so I don't know how to follow the instructions. I have
/dev/sda1 fat32 (size: 7699 MB used 65 MB)
/dev/sdc1 ext4 (size: 95912 MB used: 17550 MB Ubuntu 16.10 (16.10))
/dev/sdc5 swap (size: 192 MB used: unknown)
I'm using an ASUS. Advice?