A dual carriageway is not done with tagging alone: You draw two separate carriageways and add oneway=yes tags to each.

When I do this, I usually look at the direction arrows by each node in the existing way and see which way it was drawn. I then move that way to be aligned with the appropriate direction and add the oneway tag. Then I draw the other way where it should be. Finally, I copy all the tags from the original way (including the newly added oneway=yes tag) and paste them onto the new way. That whole operation is much easier if you are dealing with a single way that has not been split up for things like adding turn lanes, etc., so I usually do the change to dual carriageway prior to doing turn lanes.