How to pop back stack for Activity with multiple Fragments?

Basically, no, there is only one back stack for an activity.

You will just need to implement your own separate back stacks.

As of Android 4.0 (and the associated support library) there are APIs that should make this relatively easy -- FragmentTransaction.detach(Fragment) lets you put a fragment into the same state it is when in the back stack, and FragmentManager.saveFragmentInstanceState(Fragment) lets you go further and completely throw away the Fragment object. Not coincidentally, these are used to implement ViewPager's FragmentPagerAdapter and FragmentStatePagerAdapter, respectively, so you could look at the code for these as an example of how to use them.

FragmentManager.popBackStack(String name, FragmentManager.POP_BACK_STACK_INCLUSIVE)

Here is the simplest answer, and the explanation is very clear: Well there are a few ways to go about this depending on the intended behavior, but this link should give you all the best solutions and not surprisingly is from Dianne Hackborn...