
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 kingdom, knights are either red, blue, or green. $\frac{3}{8}$ of the knights are red, $\frac{1}{4}$ are blue, and the rest are green. $\frac{1}{5}$ of all knights wield magical swords. Moreover, the fraction of red knights with magical swords is $1.5$ times the fraction of blue knights with magical swords and twice the fraction of green knights with magical swords. What fraction of red knights wield magical swords?
**A)** $\frac{3}{13}$
**B)** $\frac{48}{175}$
**C)** $\frac{7}{27}$
**D)** $\frac{2}{7}$
**E)** $\frac{1}{3}$

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