
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
Given that there are an equal number of sophomores and juniors at Hayden Valley High, and $\frac{4}{5}$ of the sophomores and $\frac{3}{4}$ of the juniors attend a science fair, and $\frac{1}{3}$ of the seniors, which is the same number as juniors, also attend the same fair. What fraction of the students at the fair are sophomores?

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