Solve the Fraction Subtraction: 3/7 minus 1/6

To solve the subtraction problem $\frac{3}{7} - \frac{1}{6}$, we need to follow these steps:

• Step 1: Identify the least common multiple (LCM) of the denominators. For 7 and 6, the LCM is 42.
• Step 2: Convert each fraction to an equivalent fraction with a denominator of 42.
• For $\frac{3}{7}$, multiply the numerator and the denominator by 6 to get $\frac{18}{42}$.
• For $\frac{1}{6}$, multiply the numerator and the denominator by 7 to get $\frac{7}{42}$.
• Step 3: Subtract the two fractions: $\frac{18}{42} - \frac{7}{42} = \frac{11}{42}$.
• Step 4: Check if the fraction $\frac{11}{42}$ can be simplified. Since 11 and 42 have no common factors besides 1, the fraction is already in its simplest form.

Therefore, the solution to the problem is $\frac{11}{42}$.

Among the provided choices, the correct answer is: $\frac{11}{42}$.