Teach me how to subtract 2/13-1/6

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}