Entanglement entropies are well-studied in holographic field theories thanks to the Ryu-Takayanagi formula. Bit threads offer a conceptually and technically powerful new way to think about this formula. In this talk, after introducing bit threads, we will use them to give a new understanding of the so-called monogamy property of holographic entropies. The resulting picture will lead to an intriguing conjecture about the general entanglement structure of holographic states.