Final Cut Pro X :: Converting Fraps AVI Files To Usable Format?

I have been trying to get my Fraps video files on my Windows 7 machine compressed into a format that will allow them to work with Final Cut Pro X on my mac. 

Here is some information about the file I am trying to compress (acquired using MediaInfo):

General
Complete name                      : E:Fraps Raw FootageX-Plane 2014-08-30 11-01-45-21.avi
Format                                  : AVI
Format/Info                            : Audio Video Interleave
Format profile                         : OpenDML
File size                                 : 154 GiB

[Code] .....

I have tried using MPEG Streamclip on my Windows machine to convert it to an .mp4 file, but that just gave me an audio file with no video. I then tried using Handbreak on my Windows 7 machine to do the same thing, but the resulting file was not even recognized by Final Cut Pro X. 

Info:
Final Cut Pro X, iOS 7.1.2, Final Cut Pro X 10.1.3