That seems awkward... I don't know too much about moving between these weird almost even numbers, but I think you can try the following:

Set Time to 24fps in the Settings
(optional) Uncheck snapping in Time Slider options
Set playback speed to Other, then put 23.98 as the "other speed"

Not sure what benefit this will have. If you just want to check that the speed of your animation is exactly right, then just change the playback speed.