Let $a$ and $b$ be positive real numbers such that $a + 2b = 1.$  Find the minimum value of
\[\frac{1}{a} + \frac{2}{b}.\]
Question:
Let $a$ and $b$ be positive real numbers such that $a + 2b = 1.$  Find the minimum value of
\[\frac{1}{a} + \frac{2}{b}.\]
Answer:
Let's think step by step.

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9
Let $a$ and $b$ be positive real numbers such that $a + 2b = 1.$  Find the minimum value of
\[\frac{1}{a} + \frac{2}{b}.\]
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