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AMC 12 2002a Problem 20

  • Paper

Suppose that aa and bb are digits, not both nine and not both zero, and the repeating decimal 0.ab‾0.\overline{ab} is expressed as a fraction in lowest terms. How many different denominators are possible?

(A) 3(B) 4(C) 5(D) 8(E) 9\text{(A) }3 \text{(B) }4 \text{(C) }5 \text{(D) }8 \text{(E) }9

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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