
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, each with a capacity of 800 mL, contain juices. The first pitcher is 1/4 filled with orange juice and 1/8 with apple juice. The second pitcher is 1/5 filled with orange juice and 1/10 with apple juice. The rest of each pitcher is filled with water. Both pitchers are then poured into one large container. What fraction of the mixture in the large container is orange juice?

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