$16 \frac{2}{3}-8 \frac{5}{6}$
\(\boxed{7 \frac{5}{6}}\) is the final answer.
Step 1 :Convert the mixed numbers into improper fractions. The first number, \(16 \frac{2}{3}\), becomes \(\frac{50}{3}\) and the second number, \(8 \frac{5}{6}\), becomes \(\frac{53}{6}\).
Step 2 :Subtract the two fractions to get the result, \(\frac{47}{6}\).
Step 3 :Convert the improper fraction back into a mixed number. The whole number is 7 and the fraction is \(\frac{5}{6}\).
Step 4 :\(\boxed{7 \frac{5}{6}}\) is the final answer.