
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, contain orange juice. The first pitcher is 1/4 full of orange juice and the second pitcher is 3/5 full. Water is added until both pitchers are full. Both pitchers are then poured into one large container. Calculate the fraction of the mixture in the large container that is orange juice.

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