
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 digits \( P, Q, R, S \) be selected from \(\{1, 2, 3, 4, 5, 6, 7, 8, 9\}\) with \( P < Q < R < S \). If the sum \( \frac{P}{R} + \frac{Q}{S} \) is to be as small as possible, what is this minimum value?
A) \( \frac{1}{16} \)
B) \( \frac{11}{72} \)
C) \( \frac{25}{72} \)
D) \( \frac{3}{17} \)
E) \( \frac{9}{36} \)

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