
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
Determine the fractions where both the numerator and the denominator are two-digit numbers, the second digit of the numerator is the same as the first digit of the denominator, and the value of the fraction does not change if the repeated digit is removed.

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