
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
Define a new operation "*": 
\[ a^{*} b = \left\{
\begin{array}{l}
a \quad (\text{if } a > b) \\
1 \quad (\text{if } a = b) \\
b \quad (\text{if } a < b)
\end{array}
\right. \]
For example, \( 3.5 * 2 = 3.5 \), \( 1 * 1.2 = 1.2 \), \( 7 * 7 = 1 \). Calculate \(\frac{1.1 * \frac{7}{3} - \frac{1}{3} * 0.1}{\frac{4}{5} * 0.8} =\).

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