To subtract the fractions \frac{2}{13} - \frac{1}{6} , follow these steps:
1. Find a common denominator for the fractions. The least common denominator (LCD) of 13 and 6 is 78.
2. Convert each fraction to have the common denominator of 78:
\frac{2}{13} = \frac{2 \cdot 6}{13 \cdot 6} = \frac{12}{78}
\frac{1}{6} = \frac{1 \cdot 13}{6 \cdot 13} = \frac{13}{78}
3. Subtract the fractions with the common denominator:
\frac{12}{78} - \frac{13}{78} = \frac{12 - 13}{78} = \frac{-1}{78}
4. Simplify the result (if necessary).
Therefore, the answer is:
\frac{-1}{78}