so 60 ÷ 4 = 15, namely if we divide 60 minutes in 1 hour by 4, it gives us 15, so 15 minutes is one quarter of an hour.
so 5¾ is really 5 + ¼ + ¼ + ¼, or 5 hours + 15 mins + 15 mins + 15 mins, so 5 hours and 45 minutes.
from 9pm to 5 hours later, 9 + 5 = 14, or 12 + 2, namely 2am.
then we add the 22 minutes, that 2:22 am, and then we add the 45 minutes, that makes it 2: 22 + 45, 2:67, of course 67 minutes is 1 hour and 7 minutes, so 2:60 + 7, or 3:07am.