Hiding page activity on facebook?

[SeeSiSo]

I'm able to see when a friend likes a photo or comments on something on another page. I'd like to keep that activity to myself, but not sure where to start?
So if it's a public page and I like or comment there is no way to control who sees it?

[Eric]

If you set privacy to your content no one else can see except the ones you allowed to.
For example, if your friend shares a photo or status that is visible to public, everyone will be able to see it if you comment on it or like it, if they share the photo to friends or selected people only, then even if you comment or like no outsider can see it.
Therefore, your friends need to set privacy on their content so that only their friends should and else do not. You can not control unless they have not restricted it from being public.