Answer
$18^{\circ} 15^{'} 18^{"}$
Work Step by Step
RECALL:
$1^{\circ} = 60^{'} \text{ and } 1^{'} = 60^{"}$
\begin{equation}
\begin{split}
18.255^{\circ}&=18^{\circ}+0.255^{\circ} \\ & = 18^{\circ}+0.255 \times (1^{\circ}) \\ & = 18^{\circ}+0.255 \times (60)^{'} \\ & = 18^{\circ} + 15.3^{'} \\ & = 18^{\circ}+15^{'}+0.3^{'} \\ & = 18^{\circ}+15^{'}+0.3 \times (1)^{'} \\ & = 18^{\circ}+15^{'}+0.3 \times (60)^{"} \\ & = 18^{\circ}+15^{'}+18^{"}
\end{split}
\end{equation}
Thus, $18.255^{\circ}= 18^{\circ} 15^{'} 18^{"}$
