
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 school program, $\frac{1}{4}$ of ninth graders are paired with $\frac{1}{3}$ of the sixth graders. Assuming that each ninth grader is paired with at most one sixth grader, calculate the fraction of the total number of sixth and ninth graders who are paired with a buddy.
A) $\frac{2}{7}$
B) $\frac{3}{11}$
C) $\frac{1}{4}$
D) $\frac{1}{3}$
E) $\frac{4}{11}$

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