Find a common denominator (LCD of 7 and 6 is 42), then subtract.

• \( \frac{3}{7} = \frac{18}{42} \)
• \( \frac{1}{6} = \frac{7}{42} \)
• \( \frac{18}{42} - \frac{7}{42} = \frac{11}{42} \)
• \( \frac{11}{42} \) is already in simplest form.

Final Answer: B: \( \frac{11}{42} \)