
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 \( a, b \in \{2, 3, \cdots, 8\} \). What is the maximum value of \( \frac{a}{10b+a} + \frac{b}{10a+b} \)?

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