adjective and noun word-forming element, in most cases from Latin -arius, -aria, -arium "connected with, pertaining to; the man engaged in," from PIE relational adjective suffix *-yo- "of or belonging to." The neuter of the adjectives in Latin also were often used as nouns (solarium "sundial," vivarium, honorarium, etc.). It appears in words borrowed from Latin in Middle English. In later borrowings from Latin to French, it became -aire and passed into Middle English as -arie, subsequently -ary.
<a href="https://www.etymonline.com/word/fragmentary">Etymology of fragmentary by etymonline</a>
Harper, D. (n.d.). Etymology of fragmentary. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/fragmentary