
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
The following equalities are approximately correct:

$$
\begin{aligned}
& \frac{1}{1.01}=0.99 ; \frac{25}{25.17}=\frac{25}{25+0.17}=1-\frac{0.17}{25}= \\
& \quad=1-0.0068=0.9932 ; \frac{1}{0.975}=1.025
\end{aligned}
$$

Provide a general formula that underlies these approximate calculations.

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