
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
Two students are having a multisession pie eating contest. During two subsequent sessions, they eat parts of different pies. In the first session, the first student eats $\frac{7}{8}$ of one pie, while the second student eats $\frac{5}{6}$ of another pie. In the second session, the first student finishes $\frac{3}{4}$ of a new pie and the second student $\frac{2}{3}$ of another pie. Compute the total amount of pie each student ate and find out how much more pie the first student ate than the second student over both sessions. Express your answer as a fraction.

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