Convert the following angles:

       X  =  43.864 degrees    -->   ___ deg  ___  minutes  ___ seconds


           First, the degree portion of the answer is just "43".

           Next, we turn the fractional degrees which remain into minutes:

                minutes  =   (0.864 degrees) * (60 minutes/degree)  

                         =    51.84  minutes

           So the minutes portion of the answer is "51".  

           But we have a leftover fraction of 0.84 minutes.  Let's convert to seconds.

                seconds  =   (0.84 minutes)  *  (60 seconds/minute)

                         =    50.4   seconds

           So the seconds portion of the answer is "50", or "50.4".


       X  =  43.864 degrees    -->    43 deg   51  minutes   50 seconds




  Now, the second question asks us to go the other way: from DD:MM:SS to decimal degrees.

       Y  =  28:34:52          -->   __________  degrees


          Here's how we can perform the conversion:

                                  34 minutes            52 seconds
               28 degrees  +   ----------------   +   ------------------
                                 60 minutes/deg        3600 seconds/deg


            =     28       +      0.56666         +      0.01444444


            =     28.5811   degrees