
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 numerator and denominator of a fraction are both two-digit integers, and the tens digit of the numerator is equal to the units digit of the denominator. By removing the common digit from the numerator and denominator, the ratio of the remaining single-digit numbers is equal to the value of the original fraction. What is the original fraction?

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