Calculate the following expression: 4 5/6 * 2 1/3

Let's solve the expression step by step. First, we need to convert the mixed numbers to improper fractions. $$4 \frac{5}{6} = \frac{4 \times 6 + 5}{6} = \frac{24 + 5}{6} = \frac{29}{6}$$ $$2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3}$$ Now, we can multiply the two fractions: $$\frac{29}{6} \times \frac{7}{3} = \frac{29 \times 7}{6 \times 3} = \frac{203}{18}$$ Now, we need to convert the improper fraction back to a mixed number. $$\frac{203}{18} = 11 \frac{5}{18}$$ To find the whole number part, we divide 203 by 18: $$203 \div 18 = 11$$ with a remainder of 5. So, the mixed number is 11 and 5/18. Answer: 11 5/18