
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 \( 0.333 \ldots = \frac{1}{3} \), what is the irreducible fraction equivalent to \( 0.1333 \ldots \)?
(a) \( \frac{1}{13} \)
(b) \( \frac{1}{15} \)
(c) \( \frac{1}{30} \)
(d) \( \frac{2}{15} \)
(e) \( \frac{1333}{10000} \)

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