Techniques involving a mobile computing device having a flexible hinge structure are described. In one or more implementations, a mobile computing device includes a plurality of housings, a display device that is flexible, and a flexible hinge structure. The flexible hinge structure secures the plurality of housings to each other, permits the plurality of housings to rotate about an axis in relation to each other, and supports a continuous viewing area of the display device that extends across the plurality of housings and the flexible hinge structure.