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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.

Contributed by Varun Syal

Solved by 36 users

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