1. Convert the mixed numbers to improper fractions: 
    18 \frac{3}{8} = \frac{147}{8} 
    4 \frac{5}{6} = \frac{29}{6} 
2. Find a common denominator for the fractions:
   The least common denominator of 8 and 6 is 24.
3. Convert the fractions to have the common denominator:
    \frac{147}{8} = \frac{147 \times 3}{8 \times 3} = \frac{441}{24} 
    \frac{29}{6} = \frac{29 \times 4}{6 \times 4} = \frac{116}{24} 
4. Add the fractions: 
    \frac{441}{24} + \frac{116}{24} = \frac{557}{24} 
5. Simplify the result and convert back to a mixed number:
    \frac{557}{24} = 23 \frac{5}{24} 
Final answer is  23 \frac{5}{24}