There's a module named ntfs which can be loaded into your kernel. This allows for read-only access to your NTFS partitions. For your Fat partitions, there is a module named vfat. This module allows for read and write access to your Fat partitions.
Once you load the appropriate modules into your kernel, you can then mount the respective partition by using the mount command, or adding it to your fstab so that it will always mount it.
Since you are using Fedora, I believe there are probably rpms available for both of these modules. In fact, I see they are available from
this site.