Fractional frequency division is performed by sequentially selecting phase signals for division, where transitioning from a previous phase signal to a next phase signal for division occurs in response to not only the frequency-divided previous phase signal but also a second one of the phase signals. A phase transition that is triggered at least in part in response to a second phase signal having a phase that is greater (with respect to the phase signal sequence) than the phase of the next phase signal can aid minimization of signal glitches. The first frequency-divided signal can be further divided to produce a second frequency-divided signal having a 50-percent duty cycle.