Would you be interested in minding my place?
How could a person get into so much trouble minding their own business?
She urged every one to speak to Helen naturally, to give her full sentences and intelligent ideas, never minding whether Helen understood or not.
You don't want to come across as a snob, but you do want to show your appreciation for others and minding your manners always gives a good impression.
Weaver plays a man driving across the country and minding his own business when he is suddenly beset by a menacing truck; the driver of which seems intent on killing him at all costs.