The very best option to convert or export every version of FreeHand drawings (.fh10, .fh11 etc.) to common pictures, like JPEG (.jpeg, .jpg) or PNG (.png), is to do it through Adobe Illustrator. This seems to be the most convenient way and probably only one of the few reliable ones.
There is a script available for download from Adobe that allows users to import old FreeHand drawings (like .fh10) directly to Adobe Illustrator and save them as .ai drawings. This option however seems to be working only for CS4/CS5 versions of Illustrator and does not work for the latest CC.Open FH10 file Open JPEG file