# Separate them wisely

Logic Level 5

$\large \frac{5823}{17469} , \frac{5832}{17496}$

Above shows 2 distinct ways to segregate and concatenate the integers from 1 to 9 inclusive such that their ratio is equals to $$\frac13$$.

What is the number of ways to segregate and concatenate the integers from 1 to 9 inclusive (using each digit exactly once) to form two integers such that their ratio equals to $$\frac{1}{12}$$?

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