What most naturally follows?

How to ask a girl to hang out
Invite her along to things you plan on doing anyway.
Be subtle and natural with the girl you want to hang out with by inviting her to activities you were already planning on doing. If you plan on going to a barbeque, ask her if she wants to hang out there.
Enjoy yourself regardless of whether she comes along or not. Say, " hey, i'm going to this cookout tomorrow if you want to stop by.