Fixing rhymes with:
affixing, affixing, intermixing, mixing, affixing, annexing, boxing, coaxing, faxing, flexing, indexing, intermixing, mixing, outfoxing, perplexing, relaxing, taxing, vexing, waxing, xeroxing
Fixing sounds like:
facing, facings, faking, fasching, fashion's, fashioning, fashions, fausnaugh, faxing, feagans, feagins, feigning, figgins, fijians, fishing, fisons, fixings, focusing, fosamax, fosnaugh, foxman's, fucking, fujisankei, fukunaga, fusing, fussing