For a peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio \(1:2:3:4:5:6\). What is the probability of rolling a total of 7 on the two dice? Express your answer as a fraction in simplest form. The answer should be in the form \(\frac{k}{m}\). Please provide the value of \(k + m\).

Let's think step by step and output the final answer within \boxed{}.
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