
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
Consider three squares: Square C, Square D, and Square E. Square C has side lengths each measuring $x$ inches, Square D has side lengths each measuring $3x$ inches, and Square E has side lengths each measuring $6x$ inches. What is the ratio of the area of Square C to the area of Square E, and what is the ratio of the area of Square D to the area of Square E? Express your answer as a common fraction.

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