After how many digits the decimal expansion of 1/7 should repeats?

1.	After how many digits the decimal expansion of 1/7 should repeats?
Answer» The given number is\xa0{tex}\\frac 17{/tex}Now let us divide 1 by 7 using long division method.Now we see that remainder 1 is returned so same pattern\xa0will repeat in the quotient, so we can say that{tex}\\frac{1}{7}{/tex}\xa0= 0.142857142857............Hence\xa0{tex}\\frac{1}{7}{/tex}\xa0=\xa0{tex}0. \\overline {142857}{/tex}

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