
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
At the Hardey Fitness Center, a survey revealed that the average age of the female members was 45 years old, while the average age of the male members was 30 years old. The average age of the entire membership was 35 years old. Determine the ratio of female to male members and express your answer as a common fraction.

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