Subtract: \( 5 \frac{1}{6}-2 \frac{5}{6} \) Do not give your answer as an improper fraction. Give your answer as mixed number or proper fraction in lowest terms.

To subtract \( 5 \frac{1}{6} - 2 \frac{5}{6} \), we first convert both mixed numbers into improper fractions. For \( 5 \frac{1}{6} \): \[ 5 \frac{1}{6} = 5 \times 6 + 1 = 30 + 1 = \frac{31}{6} \] For \( 2 \frac{5}{6} \): \[ 2 \frac{5}{6} = 2 \times 6 + 5 = 12 + 5 = \frac{17}{6} \] Now we subtract the improper fractions: \[ \frac{31}{6} - \frac{17}{6} = \frac{31 - 17}{6} = \frac{14}{6} \] Next, we simplify \( \frac{14}{6} \): \[ \frac{14 \div 2}{6 \div 2} = \frac{7}{3} \] Now, converting \( \frac{7}{3} \) back to a mixed number, we divide: \[ 7 \div 3 = 2 \quad \text{remainder } 1 \] This gives us: \[ \frac{7}{3} = 2 \frac{1}{3} \] Thus, the final answer is: \[ 2 \frac{1}{3} \]