
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 that Matilda and Ellie divide a wall in half, with Matilda painting half of her section red and Ellie painting one third of her section red, calculate the fraction of the entire wall that is painted red.

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