
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
A rectangular piece of paper has dimensions such that its length is 5 units while its width is 2 units, and it has an area of A. The paper is first folded in half along its length. Afterward, it is divided into three equal parts along its new length from the fold, and then a dotted line is drawn from the first divider on the bottom to the second divider on the top. A triangle is then folded along this dotted line downwards, effectively reducing the visible area. Calculate the new area, $B$, visible after the fold, and determine the ratio $\frac{B}{A}$.

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