i'm on my way means that I have arranged to meet you and have already started on my journey to you.
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The full sentence is "I'm on my way to you" or "I'm on my way there".
It means the person is travelling to you and has already started their journey.
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Hi, vivaldo. When you say "I'm on my way" it means that you are going to the person.
I got your message saying you needed my help. I'm on my way.
Just be patient, I'm on my way."
Don't worry I'm on my way."
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I have already started to go to the place we just talked about or I am telling you about now,
"Hey John. Where are you? Are you coming to the mall?"
"I'm on my way"
"Have you left the house yet? We don't have much time" --- "Don't worry I'm on y way and I'll be there soon"
"I'm on the bus to the airport. I'm on my way to France!"
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This sentence means that you are going somewhere and you are telling someone you are coming. So you would say this when you're about to travel to a destination.
examples:
1. I'm on my way to your house.
2. She's on her way.
3. Ted is leaving the restaurant now, he's now on his way to the grocery store.