
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
In a rectangle composed of six squares (arranged in two rows of three), some squares are divided in half diagonally to form triangles. Given that the triangles from the first and third squares of the top row and the second square of the bottom row are shaded, what fraction of the rectangle is shaded? Express your answer as a common fraction.

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