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[Hint Study the remainders while finding the value \(\frac{1}{7} \) of carefully.]

Answer :

We have,

\( \frac{1}{7} = 0\overline{.142857}\)

So we can say that,

\(\because \frac{2}{7} = 2 × \frac{1}{7} \)

\( \Rightarrow \frac{2}{7} = 2 × 0\overline{.142857}\)

\(\Rightarrow
\frac{2}{7} = 0\overline{.285714}\)

\(\because \frac{3}{7} = 3 × \frac{1}{7} \)

\(\Rightarrow \frac{3}{7} = 3 × 0\overline{.142857}\)

\( \Rightarrow \frac{3}{7} = 0\overline{.428571}\)

\(\because \frac{4}{7} = 4 × \frac{1}{7} \)

\(\Rightarrow \frac{4}{7} = 4 × 0\overline{.142857}\)

\( \Rightarrow \frac{4}{7} = 0\overline{.571428}\)

\(\because \frac{5}{7} = 5 × \frac{1}{7} \)

\(\Rightarrow \frac{5}{7} = 5 × 0\overline{.142857}\)

\( \Rightarrow \frac{5}{7} = 0\overline{.714285}\)

\(\because \frac{6}{7} = 6 × \frac{1}{7} \)

\(\Rightarrow \frac{6}{7} = 6 ×0 \overline{.142857}\)

\(\Rightarrow \frac{6}{7} = 0\overline{.857142}\)

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