What is the smallest positive n such that n/(2010*7*11) is a terminating decimal?
+128474 n / (2010 * 7 * 11) =
n / (2 *5 * 3 * 7 * 11 * 67)
A fraction will have a terminal decimal representation when the denominator is only a power of 2 or 5 or both
So....the smallest n that makes this a terminating decimal = 3 * 7 * 11 * 67 = 15477
The resulting fraction is 1/ (2 * 5) = 1 / 10
