Here's what rhymes with fragmentary.
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belly jelly deli telly allele smelly underbelly vermicelli barely petty penny antennae jetty teddy bevy jenny many heavy ready fairly rarely steady semi deadly gentry levy heady levee messy unfairly unsteady belfry deathly pebbly tempi testy breathy dressy faery pesky kepi leggy recce sedgy veggie especially twenty healthy gently plenty wealthy lengthy unhealthy densely fleshy carefree deftly medley sentry sexy sketchy sweaty vestry gayety hefty machete stealthy confetti fidgety tensely trendy maidenly marquetry thready lefty wetly already directly scarcely intensely freshly frenzy intently squarely spaghetti coquetry fleshly halfpenny hostelry aplenty libretti adeptly effendi preciously woodenly assembly friendly correctly elementary indirectly epilepsy immensely unfriendly sullenly complexly deviancy ineptly complementary expressly incorrectly apoplexy excellency grotesquely sacredly baronetcy catalepsy circumspectly cognoscenti penitently confusedly narcolepsy ambivalently reassembly equivalently