
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
The fraction $\frac{1}{3}$:
- How does it compare to the decimal 0.3333?
A) $\text{equals 0.3333}$
B) $\text{is less than 0.3333 by }\frac{1}{3\cdot 10^4}$
C) $\text{is less than 0.3333 by }\frac{1}{10^4}$
D) $\text{is greater than 0.3333 by }\frac{1}{3\cdot 10^4}$
E) $\text{is greater than 0.3333 by }\frac{1}{10^4}$

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