
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, a number of tenth graders are paired with seventh-grade students for a science project. No tenth grader is assigned more than one seventh-grade partner. If $\frac{1}{4}$ of all the tenth graders are paired with $\frac{1}{3}$ of all the seventh graders, what fraction of the total number of seventh and tenth graders have a partner?
A) $\frac{1}{5}$
B) $\frac{2}{7}$
C) $\frac{3}{10}$
D) $\frac{1}{3}$
E) $\frac{2}{5}$

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