(someone) is in the middle of (doing something)
You say that you are "in the middle of ___ing" when you're doing something and it's not convenient to stop. For example, if you're trying to write an e-mail for work that needs concentration, and someone interrupts you, you could say:
I was in the middle of writing an email when she walked in and started going on and on about some problem with the copier.
I can't look at that right now, dear. I'm in the middle of making dinner.
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