Maybe to help the OP I’ll add a bit to your answer. The entire face of an analog clock is divided into fractional sections. Sounds like you’re really good at parsing those fractions, likely due to lots of practice.

So, big hand after the nine and before the ten? Between :45 and :50. First half of that? Between :46 and :47. More toward the beginning of the split? :46

Maybe OP hasn’t had as much practice so has to think about what 9 is in minutes? Nothing but practice would help get over that, I guess.