\[ \large \square \frac\square\square +\square \frac\square\square = \square \frac\square\square \]

You are given that the numbers \(1,2,3,\ldots,9\) are to be filled into the squares above without repetition such that the equation above shows the sum of two *mixed numbers* as another *mixed number*. Find the total possible ways we can arrange these 9 numbers such that this equation holds true.

**Details and Assumptions**:

This is an arithmetic puzzle, where \( 3 \square\square \) would represent the 3-digit number 355 if \( \square = 5 \). It does not represent the algebraic expression \( 3 \times \square \times \square \).

A

*mixed number*is the sum a whole number and a proper fraction (stated in lowest form). For example, \( 3\frac56 \) is a mixed number but \(2\frac53\) and \( 3\frac48\) are not mixed numbers.

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