write + come to do
kaku you ni naru
come to do; reach the point where
meaning: reach the point of writing
うちの子、野菜を食べるようになるよ。
uchi no ko, yasai o taberu you ni naru yo.
Our kid reaches the point of eating vegetables. casual
毎日練習して、少しずつ泳げるようになりました。
mainichi renshuu shite, sukoshi zutsu oyogeru you ni narimashita.
Practicing every day, I gradually became able to swim. neutral