MathDB
Decimal Expansion

Source:

February 10, 2006
floor functionfunction

Problem Statement

Let SS be the set of all rational numbers rr, 0<r<10<r<1, that have a repeating decimal expansion in the form 0.abcabcabc…=0.abc‾,0.abcabcabc\ldots=0.\overline{abc}, where the digits aa, bb, and cc are not necessarily distinct. To write the elements of SS as fractions in lowest terms, how many different numerators are required?
Back to ProblemsView on AoPS