Laravel Routing with a front-end Framework

I have a laravel web app that I'm content with, but I want to use some javascript frameworks to do things like drag-and-drop. I've looked into Angular, Ember, and React but I haven't been able to find a straight answer to the routing concerns that I have:

• Can I continue to use Laravel's routing with these? Or mix and match?
• If I only set up one route on Angular for example, are all of the rest caught by Laravel? Or does it take over routing entirely?

I don't want to implement an entire javascript site with Laravel as an api, I'd like to use some of the out-of-the-box functionality that Laravel has, with javascript components.