Refer to $A = \{\frac{\pi}{3}, 0, -7, 0.\overline{3}, 6, 4.7, \sqrt{6}\}$. Determine which elements belong to the given set. Separate your answers with commas, if necessary.
(a) $\in \mathbb{N}$
(c) $\in \mathbb{Z}$
(b) $\in \mathbb{W}$
(d) $\in \mathbb{Q}$
(f) $\in \mathbb{R}$