Problem #35
Cartman’s Large Growing Sequence
Consider the fraction \frac{AKA}{LOL} = 0.DBUGDBUGDBUG...
This is a normal fraction which can be written as recurring decimals. Here, the same alphabets stand for the same digits. Find the sum S of all such fractions with distinct values of the fraction. S = \frac{p}{q} in its most simplified form. Answer p*q.