2. \( \frac{3}{7}-\frac{1}{6}= \)

To solve the expression \( \frac{3}{7}-\frac{1}{6} \), you need a common denominator. The least common multiple of 7 and 6 is 42. Rewrite the fractions: \( \frac{3}{7} = \frac{3 \times 6}{7 \times 6} = \frac{18}{42} \) and \( \frac{1}{6} = \frac{1 \times 7}{6 \times 7} = \frac{7}{42} \). Now, subtract: \( \frac{18}{42} - \frac{7}{42} = \frac{11}{42} \). So, \( \frac{3}{7} - \frac{1}{6} = \frac{11}{42} \). Now, when working with fractions, remember that simplifying your final answer can make it look neater. The fraction \( \frac{11}{42} \) is already in its simplest form since 11 is a prime number and doesn't share any factors with 42. Additionally, a common error when subtracting fractions is forgetting to find a common denominator first. Always check to ensure you're working with like denominators before performing any operations to avoid mistakes!