Let $x$ and $y$ be positive real numbers such that $x + y = 10.$  Find the minimum value of $\frac{1}{x} + \frac{1}{y}.$
Question:
Let $x$ and $y$ be positive real numbers such that $x + y = 10.$  Find the minimum value of $\frac{1}{x} + \frac{1}{y}.$
Answer:
Let's think step by step.

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\frac{2}{5}
Let $x$ and $y$ be positive real numbers such that $x + y = 10.$  Find the minimum value of $\frac{1}{x} + \frac{1}{y}.$
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