
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
Five concentric circles are drawn with radii of 1, 4, 6, 8, and 10. The innermost circle is painted black, the next ring is white, the following ring is black, the next ring is white, and the outermost ring is black. What is the ratio of the black area to the white area? Express your answer as a common fraction.

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