
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
Given two pitchers, each with a capacity of 500 mL, one is \( \frac{1}{4} \) full of orange juice and the other is \( \frac{3}{7} \) full of orange juice, find the fraction of the mixture in the combined container that is orange juice after filling each pitcher to the brim with water.

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