
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
Four concentric circles are drawn with radii of 2, 4, 6, and 8. The innermost circle is painted white, the ring around it is black, the next ring is white, and the outer 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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