3

Part of 2001 Argentina National Olympiad

Problems(1)

five digits 1,4,2,8,6 appear somewhere in decimal expression of a<b

Source: Argentina 2001 OMA L3 p3

a

b

be positive integers,

a < b

, such that in the decimal expansion of the fraction

\dfrac{a}{b}

the five digits

1,4,2,8,6

appear somewhere, in that order and consecutively. Determine the lowest possible value

b

number theoryDigits