
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 $\left[x\right]$ represents the greatest integer not exceeding $x$, for example, $\left[3.2\right]=3$, $\left[-0.7\right]=-1$. Now, define $\{x\}=\left[x\right]-x$, for example, $\{1.5\}=\left[1.5\right]-1.5=-0.5$. Find the value of $\{2.9\}+\{-\frac{5}{3}\}$.

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