Here's what rhymes with fragmei.
my nigh mai muy nai mei by high why die lie thy y buy cry guy tie vi hi shy sigh bi bye chi dye fi hy pi pie thai thigh vie dei ly psi quae rye ty wir awry hai lye wry cy fy kai lai luy sy tai thei wai phi drachmai dry try fly sky deny spy fry ply sly pry tri trie pri untie sty aquae amebae stye lanai slier apply reply imply nearby occupy rely comply alkali defy goodbye alibi magnify ratify belie decry lullaby termini amoebae ramify bonsai ossify retry spry turfy scurfy shanghai ripply banzais yuppify supply thereby whereby hereby modify nuclei classify signify verify certify gratify notify underlie fortify nullify pacify rectify samurai standby unify falsify pupae codify descry dignify edify liquefy mollify overlie vilify deify dragonfly firefly stratify triply vivify blowfly horrify reunify stupefy liquify versify barfly mummify overbuy justify satisfy clarify qualify specify butterfly glorify purify quantify alveoli amplify beautify solidify terrify typify crucify mortify resupply acidify mystify preoccupy stultify ultrahigh calcify misapply cumuli overfly scarify hyperbolae prettify vitrify beatify refortify speechify syllabify dandify solemnify identify stimuli multiply simplify testify diversify oversupply personify detoxify electrify emulsify petrify reclassify revivify declassify gentrify exemplify intensify disqualify indemnify objectify demystify dissatisfy oversimplify misidentify transmogrify