You can uninstall or removes an installed fonts-ipafont-nonfree-jisx0208 package itself from Ubuntu 16.04 LTS (Xenial Xerus) through the terminal,
$ sudo apt-get remove fonts-ipafont-nonfree-jisx0208
If you would like to remove fonts-ipafont-nonfree-jisx0208 and it's dependent packages which are no longer needed from Ubuntu,
$ sudo apt-get remove --auto-remove fonts-ipafont-nonfree-jisx0208
If you use with purge options to fonts-ipafont-nonfree-jisx0208 package all the configuration and dependent packages will be removed.
$ sudo apt-get purge fonts-ipafont-nonfree-jisx0208
If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.
$ sudo apt-get purge --auto-remove fonts-ipafont-nonfree-jisx0208