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Copenhagen's public transportation system is one of Europe's easiest to use for free. All the S-Trains and Metros can be entered without having to cross any gates, the only thing to watch out for are ticket inspectors. Those usually wear a uniform on the Metro and sometimes do on S-Trains. Chances are not very high that they'll show up, but they exist. When you see them, just run away from them and leave the train asap, pretending not to understand etc. They Although they do, they are legally not allowed to hold you, but they can block your path. If they can't check whether the address you're telling them is correct or if you're a foreigner (and not really under an obligation to pay any fines anyway), they might try to take the money you have with you, so better (pretend to) not have money for paying this. [i had to pay 700 dkk -hf]. Using public transportation is, by the way, an excellent way to get through Copenhagen if you're travelling between Sweden and the South/West.