You have to write the value 66.4555º in DMS notation, this is, in degrees, minutes, and seconds notation.
-First separate the whole number and the decimal part and write the decimal part in terms of 1/60 of a degree, to do so, you have to multiply the decimal by 60/60.
[tex]\begin{gathered} 66.4555º=66º+0.4555º \\ 66º+(\frac{60}{60}*0.4555)º=66º+(\frac{27.33}{60})º \\ 66º+27.33^{\prime} \end{gathered}[/tex]
-Second, write the decimal part of the minutes in seconds by writing the decimal part in 1/60 of a minute. To do so, multiply the decimal value by 60/60:
[tex]\begin{gathered} 66º+27.33^{\prime}=66º+27^{\prime}+0.33^{\prime} \\ 66º+27^{\prime}+(\frac{60}{60}*0.33)^{\prime}=66º+27^{\prime}+(\frac{19.8}{60})^{\prime} \\ 66º+27^{\prime}+19.8^{\prime}^{\prime}\cong66º+27^{\prime}+20^{\prime}^{\prime} \end{gathered}[/tex]
The value written in DºM'S'' notation is 66º27'20''
