Who is machi from fruits basket?

Answer 1

Machi is a girl from the student council. She hates perfection, and she is Kakeru Manabe (the vice president of the student council)'s half sister. She later on becomes Yuki's girlfriend. She is a first year, read this for a better description:

Machi Kuragi, aged 15-16, is treasurer of the student council during Yuki Sohma's presidency and a classmate of Hatsuharu and Momiji. She only appears in the manga. She is Kakeru Manabe's younger half-sister by their mutual father's wife. Machi is depicted as a quiet, nearly emotionless young woman with occasional destructive behavior, such as wrecking the student council room. She has difficulty expressing herself, which sometimes results in Manabe making decisions for her. During their childhoods, their mothers competed to have their own child named heir, a struggle that ended when first Manabe withdrew himself from the running, then Machi's mother bore a son. Machi lives apart from her family because her mother believes she resents, and is a danger to, her younger brother for supplanting her, an accusation she did not contest even though it is wrong.

Unlike most girls at school, she does not see Yuki as a prince, but as just another boy, even seeing him as being lonely. Her different attitude and troubled behavior catches Yuki's eye, and he makes multiple attempts at befriending her. When Yuki and Manabe visit Machi's apartment, Yuki learns that because of the pressure to be perfect when her mother was competing with Manabe's, Machi finds perfection so disturbing she has a compulsion to mar anything too orderly, such as trashing neat rooms, walking through newly-fallen snow, and breaking pieces of a new box of chalk. Machi develops feelings for Yuki, and when Tohru is in the hospital and he needs to reach out to someone, Machi is able to confess to Yuki. Like the youngest Sohmas, Machi likes the fictional anime Mogeta, and treasures two character figurines that Yuki gives her.

Answer 2

a student council member with yuki