The invention is directed to a frequency conversion circuit arrangement a mobile radio containing such circuit which provide frequency conditioning with a frequency mixer. In this context, a feedback path from the output of the frequency mixer to a further input on the frequency mixer is provided which has a frequency divider. Particularly if the frequency divider is in the form of a divide-by-two frequency divider, the frequency conversion circuit exhibits low power and has a small chip area and permits the circuit to be operated without reaction on a frequency generator in order to actuate a frequency converter for a useful signal in a transceiver.