RE: [math-fun] Decimal question

---- David wrote I'm now fairly convinced that there is no reduced fraction a/b on (0, 1) with the same digits in the fraction and its decimal expansion. I argue as follows. If reduced a/b has a finite decimal expansion, then b = 2^k or b = 5^k. (...) David, why do you not consider 0 as a digit? With a = 17537 = prime number, And b = 12800(...0) = 2^(9+k) * 5^(2+k), my last family produce always reduced fractions a/b, i.e. on (0, 1): 17537/128000 = 0.1370078125 Christian.