
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 circular cake was cut into quarters (each quarter having a radius of $15 \mathrm{~cm}$). After the guests left, we cut off strips parallel to the outer radii, each strip being $1.5 \mathrm{~cm}$ wide, and ate them. What fraction of the remaining quarter of the cake did we consume?

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