1. **State the problem:** Given the equations $ab + ac + bc = 8$ and $abc = 4$, find the value of $\frac{1}{a} + \frac{1}{b} + \frac{1}{c}$. 2. **Recall the expression for the sum of reciprocals:** $$\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{ab + ac + bc}{abc}$$ 3. **Substitute the given values:** $$\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{8}{4}$$ 4. **Simplify the fraction:** $$\frac{8}{4} = 2$$ **Final answer:** $$\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 2$$