
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 \(a^{*} b = 2 \times\left\{\frac{a}{2}\right\} + 3 \times\left\{\frac{a+b}{6}\right\}\), where \(\{x\}\) represents the fractional part of \(x\), such as \(\{2.016\} = 0.016\). What is \(1.4 * 3.2\)? (Express the result as a decimal.)

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