The Kindle Fire is a tablet computer version of Amazon.com’s Kindle e-book reader. It has a color 7″ multi-touch display with IPS technology and runs on a forked version of Google’s operating system (OS) Android. It includes access to the Amazon Appstore, streaming movies and TV shows, and Kindle’s e-books.
If you have lots of songs in iTunes library and want to transfer them to Kindle Fire, you will need to convert iTunes music to Kindle Fire supported audio format first.
Now, let’s take a look at content formats supported by Kindle Fire:
Kindle (AZW), TXT, PDF, unprotected MOBI, PRC natively, Audible (Audible Enhanced (AA, AAX)), DOC, DOCX, JPEG, GIF, PNG, BMP, non-DRM AAC, MP3, MIDI, OGG, WAV, MP4, VP8.
So, in order to play iTunes music with Kindle Fire, what you need to do is convert iTunes music m4p, m4a, aac to mp3. After you get the converted mp3 music files, you just transfer them to your Kindle Fire via USB port.
Here is the tutorial about how to convert iTunes music to mp3.