Subject + 忙 + 着 + Verb
The verb 忙 (máng) means "to be busy." When followed by 着, it indicates an ongoing state of being occupied with something. For example, 忙着挂装饰 means "busy hanging decorations." It can also be used as an adjective, as in 我很忙 meaning "I am very busy."
她最近忙着准备考试,没时间出去玩。
tā zuìjìn máng zhe zhǔnbèi kǎoshì, méi shíjiān chūqù wán.
She's been busy preparing for exams recently and hasn't had time to go out.
妈妈一大早就忙着做年夜饭。
māma yī dà zǎo jiù máng zhe zuò niányèfàn.
Mom was busy early in the morning preparing the New Year's Eve dinner.
这周太忙了,我连饭都没好好吃。
zhè zhōu tài máng le, wǒ lián fàn dōu méi hǎohǎo chī.
This week has been so busy that I haven't even eaten properly.