Answer
a)$32.34^\circ$.
b)$63^\circ10'48''$.
Work Step by Step
We know that $1^\circ=60'$ and that $1'=60''$. Using these we do the conversions:
a) $32^\circ20'35''=32^\circ+\frac{20}{60}^\circ+\frac{35}{60\cdot60}^\circ\approx32.34^\circ$.
b) $63.18^\circ=63^\circ+0.18\cdot60'\\=63^\circ+10.8'\\=63^\circ+10'+0.8\cdot60''=63^\circ+10'+48''$.
