The spelling of the phrase "art roommates with" can be explained using the International Phonetic Alphabet (IPA). The first word, "art," is pronounced as /ɑrt/, with the vowel sound represented by the symbol "ɑ." The second word, "roommates," is pronounced as /rummeɪts/. The stress falls on the second syllable, indicated by the symbol "ˈ," and the combination of "oo" and "a" makes the /u/ sound, represented by the symbol "ʊ." Overall, the phrase is spelled as it sounds, following traditional English spelling conventions.