
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 pitchers, one holding 800 mL and another 500 mL, are partially filled with apple juice. The first pitcher is 1/4 full and the second pitcher is 1/5 full. Water is added to fill each pitcher completely, then both pitchers are poured into a container. What fraction of the mixture in the container is apple juice?

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