
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 $A, B, C, D$ be four different integers selected from the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$. If the sum $\dfrac{A}{B} + \dfrac{C}{D}$ is to be as large as possible, find the maximum value of $\dfrac{A}{B} + \dfrac{C}{D}$.
A) 12
B) 12.5
C) 13
D) 13.5
E) 14

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