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problem 206

easy number theory

You know that \( \frac{1}{7} = 0.142857 \). Can you predict what the decimal expansions of \( \frac{2}{7} \), \( \frac{3}{7} \), \( \frac{4}{7} \), \( \frac{5}{7} \), \( \frac{6}{7} \) are, without actually doing the long division? If so, how?