Child Labor #6

Number Theory Level pending

\(\large \dfrac{MOM}{DAD} = 0.TYKETYKETYKETYKE\dots\) where MOM and DAD are two three - digit numbers, prime to each other, resulting in this four-digit recurring fraction on division. Given that A, D, E, K, M, O, T, and Y are eight distinct digits, and one of the two remaining digits is 1, then find the other.

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