
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 a 4x4 square quilt made up of 16 smaller squares. This quilt has four squares divided diagonally into two right-angled triangles, and one square divided into four small triangles by both diagonals. Calculate the fraction of the quilt that is shaded, assuming the triangles in three specific squares and the four smaller triangles in one square are shaded.

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