
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
At the end of the day, a bakery had $\frac{3}{4}$ of an apple pie and $\frac{5}{6}$ of a cherry pie left over. Louie, Duey, and Huey decided to split both types of pies equally among themselves. How much of each type of pie did Huey take home?

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