2. \( 3 \frac{5}{6}-1 \frac{1}{6} \)

To solve \( 3 \frac{5}{6} - 1 \frac{1}{6} \), first convert the mixed numbers into improper fractions. \( 3 \frac{5}{6} = \frac{3 \times 6 + 5}{6} = \frac{18 + 5}{6} = \frac{23}{6} \) \( 1 \frac{1}{6} = \frac{1 \times 6 + 1}{6} = \frac{6 + 1}{6} = \frac{7}{6} \) Now subtract the two fractions: \(\frac{23}{6} - \frac{7}{6} = \frac{23 - 7}{6} = \frac{16}{6}\) Now, simplify \(\frac{16}{6}\) by dividing both the numerator and the denominator by 2: \(\frac{16 \div 2}{6 \div 2} = \frac{8}{3}\) Finally, convert this back to a mixed number: \( \frac{8}{3} = 2 \frac{2}{3} \) So, \( 3 \frac{5}{6} - 1 \frac{1}{6} = 2 \frac{2}{3} \).