which is equivalent to 6 degrees 14' 48" written in decimal form
Round to the earest thousandth of a degree

6.313
6.247
6.145
6.367

Question

which is equivalent to 6 degrees 14' 48" written in decimal form
Round to the earest thousandth of a degree

6.313
6.247
6.145
6.367

rational · Answer

6 degrees 14' 48"  =  6 degrees + 14'  +  48"

rational · Answer

= 6 degrees + 14/60 degrees  +  48/(60*60) degrees

rational · Answer

http://www.wolframalpha.com/input/?i=6%2B+14%2F60+%2B++48%2F%2860*60%29

wolf1728 · Answer

Or doing this manually - the 6  just stays as six degrees
there are 60 minutes in 1 degree so 14 minutes equals
14/60 = 0.23333333333333 degrees
there are 3,600 seconds per degree so 48 seconds equals
48/3,600 = 0.013333333333333 degrees
So we add 
6.000
0.23333333333333
0.013333333333333

6.247 degrees