
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
Continuing her research with fractions, Tanya added 4 to the numerator of a certain fraction and 10 to the denominator, and after reducing, she surprisingly got the original fraction. She tried to do the same with another fraction, but the result did not repeat. What was Tanya's original fraction?

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