A method and apparatus for transmitting content from a source device are provided. The method includes transmitting a message to a branch device and a second device inquiring whether a conversion function for converting content that is streamed to a first device, is installed on the branch device or second device; receiving a response to the transmitted message; transmitting a message requesting conversion of the content to the branch device or the second device, which includes the conversion function; and transmitting the content to the branch device. The content is relayed to the second device by the branch device, and is converted by the branch device or the second device according to performance capabilities of the second device.