1. The problem is to understand and analyze the equation $$\frac{1}{V} = \frac{1}{U} + \frac{1}{W}$$ which relates three variables $V$, $U$, and $W$. 2. This equation can be interpreted as the sum of the reciprocals of $U$ and $W$ equals the reciprocal of $V$. 3. To express $V$ explicitly in terms of $U$ and $W$, we start by finding a common denominator on the right side: $$\frac{1}{V} = \frac{W}{UW} + \frac{U}{UW} = \frac{W + U}{UW}$$ 4. Taking the reciprocal of both sides gives: $$V = \frac{UW}{U + W}$$ 5. This formula shows that $V$ is the harmonic mean of $U$ and $W$. 6. This relationship is often used in physics and engineering, for example in combining resistances in parallel or lenses in optics. Final answer: $$V = \frac{UW}{U + W}$$