If $P(A) = \frac{1}{2}$,$P(B) = \frac{1}{3}$,and $P(A \cap B) = \frac{1}{4}$,then find the value of $P(A' \cap B')$.
- A$\frac{7}{12}$
- B$\frac{5}{12}$
- C$\frac{1}{4}$
- D$\frac{1}{6}$
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