Find a Complex Number Z Such That $\bar{z}=\frac{1}{z}$ A) $\frac{1}{2}+\frac{i}{2}$

Find a complex number z such that $\bar{z}=\frac{1}{z}$

A) $\frac{1}{2}+\frac{i}{2}$
B) $-\frac{3}{4}-\frac{i}{4}$
C) $\frac{3}{5}+\frac{4 i}{5}$
D) $\frac{1}{3}+\frac{2 i}{3}$