Question

um terço de 19°14´48´´​

Answer 1

Lembrando que:

$\left\{\begin{array}{ccc}1^\circ&=&60'\\&&\\1'&=&60''\end{array}\right$

$\left\begin{array}{cccl}&19^\circ14'48''&~~&\underline{|~~3~~~~~~~~~~~~~~}\\-&\underline{~~18^\circ00'00''~~}&&3^\circ\\&1^\circ14'48''&&\end{array}\right\\\\\\1^\circ14'48''~=~60'+14'48''~=~\boxed{74'48''}\\\\\\\left\begin{array}{cccl}&19^\circ14'48''&~~&\underline{|~~3~~~~~~~~~~~~~~}\\-&\underline{~~18^\circ00'00''~~}&&3^\circ+24'\\&74'48''&&\\-&\underline{~~~~72'00''~~~~}&&\\&2'48''&&\end{array}\right\\\\\\2'48''~=~2\,.\,60''+48''~=~120''+48''~=~\boxed{168''}$

$\left\begin{array}{cccl}&19^\circ14'48''&~~&\underline{|~~3~~~~~~~~~~~~~~}\\-&\underline{~~18^\circ00'00''~~}&&3^\circ+24'+56''\\&74'48''&&\\-&\underline{~~~~72'00''~~~~}&&\\&168''&&\\-&\underline{~~~~~168''~~~~~}&&\\&0&&\end{array}\right$

Sendo assim, um terço de 19°14'48'' é igual a 3°24'56''