
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 " $\oplus$ " as:
\[ a \oplus b = \begin{cases} 
a, & \text{if } a \geq b \\
b, & \text{if } a < b 
\end{cases} \]
For example:
\[ 6.5 \oplus 2 = 6.5, \quad 1 \oplus 7 = 7 \]
Calculate:
\[ \frac{2.3 \oplus \frac{7}{3} + \frac{1}{9} \oplus 0.1}{\frac{4}{9} \oplus 0.8} \div 11 \]

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