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You know that \(\frac{1}{7}\) = 0.142857. Can you predict what the decimal expansions of \(\frac{2}{7}\), \(\frac{3}{7}\), \(\frac{4}{7}\), \(\frac{5}{7}\), \(\frac{6}{7}\) doing the long division ? If so, how? (Hint: Study the remainders while finding the value of carefully.).

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Here first digit in decimal continued repeated numbers afterwards.

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