
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
Three students are participating in a pie eating contest. The first student eats $\frac{5}{6}$ of a pie, the second student eats $\frac{7}{8}$ of a pie, and the third student eats $\frac{2}{3}$ of a pie. How much more pie did the student who ate the most eat than the student who ate the least? Express your answer as a fraction of one pie, reduced to simplest form.

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