
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
a) Is the equation \( A = B \) true if

\[ 
A = \frac{1 + \frac{1 + \frac{1 + \frac{1}{2}}{4}}{2}}{2}, \quad B = \frac{1}{1 + \frac{1}{2 + \frac{1}{1 + \frac{1}{2 + \frac{1}{4}}}}} 
\]

b) Which is greater between the numbers \( \frac{23}{31} \) and \( \frac{35}{47} \)? Determine a four-digit decimal approximation that deviates by approximately the same amount from these two numbers.

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