Question

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of \(\frac{1}{17}\)? Perform the division to check your

Answer 1

Expansion of \(\frac{1}{17}\) in decimal:

Here repeated numbers are 16.

Answer 2

Number of  digits in a repeating block  in a decimal expansion of any number is always less  than the divisor. As here, the divisor is 17, the maximum no. of digits in the repeating block of 1/17 must be less than 17. Therefore the answer is 16.