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Problem 347

Number theory Difficulty 2.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2008

The decimal expansion of $\frac{2}{13}$ is the repeating decimal $0.\overline{153846}$ . What digit occurs in the $2008$ th place after the decimal point?

(A) $8$ (B) $6$ (C) $5$ (D) $4$ (E) $3$

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