23 20' 48" is the same as round to the nearest hundredth of a degree.

So this is read as 23 degrees, 20 minutes, and 48 seconds.  Each degree has 60 minutes and each minute has 60 seconds, somewhat like time.  You must start from right to left for this to work.  This may seem complicated but the way to find this is as follows:  
23+(20+(48/60))/60.  A simpler way to see this is by first taking 48/60 which is .8.  Now you take 20+.8 which is 20.8 and you divide it by 60 once more.  This comes out to be approximately .35.  Now you have converted the seconds and minutes to degrees so you add 23+.35 which is 23.35.  Therefore your answer is 23.35 degrees.  

Cis your correct answer