
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 with a capacity of 800 mL and the other with 500 mL, are 1/4 and 3/5 full of orange juice, respectively. Water is added to fill each pitcher completely, and then both contents are poured into a large container. What fraction of the mixture in the large container is orange juice?

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