Algebra-1

Question Analysis
This question tests the ability to convert a repeating decimal into a fraction. It requires students to understand the process of expressing a repeating decimal as a rational number.

Key Concept Explanation
Repeating decimals can be expressed as fractions by setting up an equation and solving for the repeating part.

Step-by-step Solution
1. Let .
2. Multiply both sides by 10 to shift the decimal point: .
3. Subtract the original equation from this new equation: .
4. Simplify:

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