Amazon: http://amzn.to/1TaA03r (associate web link).
Checked applications that function: Play Store. Gmail, Chrome, YouTube, Google Keyboard, Voice search, schedule, maps, movies/TV application, Play Books.
No computer system or mount manuscript called for, simply mount the applications straight on your Fire.
UPDATE: Use this brand-new less complicated approach rather: http://blog.the-ebook-reader.com/2016/07/02/how-to-install-google-play-on-fire-tablets-the-super-easy-way-no-pc-or-root/
Mount Directions: http://blog.the-ebook-reader.com/2015/10/16/how-to-install-google-play-on-2015-fire-tablets-video/ This video clip reveals exactly how very easy it is to obtain the Google Play Store and Google Apps onto the 2015 Kindle Fire tablet computers, no rooting called for. This functions with the $49 Fire, and the Fire HD 8 and HD 10 with Fire OS 5.0.1.
XDA Thread: http://forum.xda-developers.com/amazon-fire/general/installing-google-framework-playstore-t3216122/