# Number of Repeating Digits in Base b Expansion of Fractions

Number of Repeating Digits in Base b Expansion of Fractions

In base 10 the fraction 1/3 has 1 repeating digit, 3, while 1/7 has 6 repeating digits: {

}. This plot shows the number of repeating digits in the base representation of a fraction with a specified numerator and with denominators from 1 up to a specified size for bases to a specified size.

1, | 4, | 2, | 8, | 5, | 7 |

b

b=2