
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $A, B, C,$ and $D$ be four distinct digits from the set $\{1,2,3,4,5,6,7,8,9\}$. For the sum $\frac{A}{B} + \frac{C}{D}$ to be minimized, where none of the digits can be repeated, determine the value of $\frac{A}{B} + \frac{C}{D}$.
A) $\frac{1}{7}$  
B) $\frac{4}{17}$  
C) $\frac{17}{72}$  
D) $\frac{25}{72}$  
E) $\frac{31}{56}$

Present the answer in LaTex format: \boxed{Your answer}
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