Fraps makes large size as it records at high res. Actually most screen recorder will make high size after recording at high res.
Just convert recorded vid to lower resolution using a video converter to reduce size
Fraps records to .avi so convert the vids to mp4 to optimise size further
My Screen Recorder is one of the best screen recording tools. Records the screen and audio from the speakers or your voice from the microphone - or both simultaneously. It's easy to use, and records directly to standard AVI or WMV format files that look great on YouTube. Perfect for tutorials and demos. Download here: Screen Recording Software: My Screen Recorder