on my way, on the way

-Hey bro! Where are you? I've been waiting for you.

-oh! I'm on my way! please wait a second!

 

-Honey! Please return this book to the library on the way to the office.

-sure! I'll also take the kids to school on the way to the office.

 

 

on my way (to) 목적지, 약속 장소로 향하는 중

on the way to~로 가는 길에 

 

결국 맥락 안에서 비슷하는 것.