Express $0.02 \overline{2}$ as a fraction.
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Answer

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Step 1
: Understand the problem

We are given a repeating decimal, $0.02 \overline{2}$, and we need to express it as a fraction.

Step 2
: Find the pattern in the repeating decimal

The given repeating decimal $0.02 \overline{2}$ has the repeating digit '2' after the decimal point.

Final Answer

0.02 \overline{2} = \boxed{\frac{11}{49.5}}