
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 mathematics class, Joey is asked to study a multiplication square for numbers from $1 \times 1$ to $15 \times 15$. Joey is interested in finding the fraction of the numbers inside the body of this table that are odd. What is this fraction?
A) $\frac{64}{225}$
B) $\frac{36}{225}$
C) $\frac{8}{225}$
D) $\frac{100}{225}$
E) $\frac{121}{225}$

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