# Numbering in base other than 10

On what basis the numbering less than 20, the fraction 17/6 (base 10) does not generate a regular tithe?

-
What is a regular tithe? –  Qiaochu Yuan Nov 5 '10 at 12:03
If I'm interpreting your question correctly, there are no repeating digits in the digit expansion of your fraction if the base is a multiple of the denominator (assuming of course the fraction is in lowest terms). –  Ｊ. Ｍ. Nov 5 '10 at 12:04
@Qiaochu: It's a repeating decimal. –  Paulo Argolo Nov 5 '10 at 12:46
In base 7 2.8333... is 2.555... is that a "regular tithe?" –  a little don Nov 5 '10 at 13:23
@J.M. 10 is not a multiple of 3, but 1/3 has repeating decimals (base 10). –  Willie Wong Nov 5 '10 at 14:56