
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, 3, 5, 7, and 9. The innermost circle is painted black, the next ring is white, the following ring is black, the next one is white, and the outermost ring is black again. Calculate the ratio of the total black area to the total white area, and express your answer as a common fraction.

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