A bicycle assembly includes a frame portion, a component and a shim. The frame portion has a component mounting section. The component has a frame mounting section. The frame mounting section is removably coupled to the component mounting section by a fastener. The shim is mounted between the component mounting section and the frame mounting section on the fastener to space the component a predetermined distance from the frame portion. The shim includes a shim portion and a handle portion. The shim portion includes two shim sections connected together. The shim sections have free ends spaced from each other to form an open ended fastener opening with the fastener selectively received therein. The shim portion has a predetermined thickness in an axial direction of the fastener opening to space the component a predetermined distance from the frame section. The handle portion extends outwardly from the shim portion.