
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
Find two fractions - one with a denominator of 8 and the other with a denominator of 13, such that they are not equal, but the difference between the greater and the lesser of them is as small as possible.

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