
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
In the fraction below and its decimal notation (with period of length  $ 4$ ) every letter represents a digit, and different letters denote different digits. The numerator and denominator are coprime. Determine the value of the fraction: 

 $ \frac{ADA}{KOK}\equal{}0.SNELSNELSNELSNEL...$ 

 $ Note.$  Ada Kok is a famous dutch swimmer, and "snel" is Dutch for "fast".

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