
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 second with $500$ mL, contain orange juice. The first pitcher is $\frac{1}{4}$ full of orange juice and the second pitcher is $\frac{1}{3}$ full. Water is added to fill each pitcher completely, then both pitchers are poured into one large container. What fraction of the mixture in the large container is orange juice?
**A**) $\frac{3}{18}$  
**B**) $\frac{7}{25}$  
**C**) $\frac{11}{40}$  
**D**) $\frac{13}{50}$  
**E**) $\frac{19}{70}$

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