# Amazing Cryptogram #2

Eve is a loquacious chatterbox.

$\frac{\overline{\text{EVE}}}{\overline{\text{DID}}}=0.\overline{\text{TALKTALKTALKTALKTALK} \cdots}$

Two same characters indicate the same number, and two different characters indicate different numbers. Every character is an integer from 0 to 9, and $$\text{E}\times\text{D}\neq0$$.

Given that the left side of the equation is an irreducible fraction, find the value of $$\text{L+E+V+I+T+A+T+E+D}.$$

This problem is a part of <Cryptarithms> series.

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