
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 of 500 mL and the other of 700 mL, contain orange juice. The first pitcher is 1/2 full and the second pitcher is 3/5 full. Water is added to fill each pitcher completely, then both pitchers are 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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