Find the value of the expression below and write your answer in mixed number form. Reduce if possible. \[ \frac{4}{9} \text { of } 3 \frac{3}{8} \]

To find the value of the expression \(\frac{4}{9} \text{ of } 3 \frac{3}{8}\), we first need to convert the mixed number \(3 \frac{3}{8}\) into an improper fraction. 1. Convert \(3 \frac{3}{8}\) into an improper fraction: \[ 3 \frac{3}{8} = 3 \times 8 + 3 = 24 + 3 = 27 \] So, \(3 \frac{3}{8} = \frac{27}{8}\). 2. Now calculate \(\frac{4}{9} \text{ of } \frac{27}{8}\): \[ \frac{4}{9} \times \frac{27}{8} = \frac{4 \times 27}{9 \times 8} \] 3. Simplify the fraction: \[ = \frac{108}{72} \] Now, reduce the fraction by finding the greatest common divisor (GCD) of 108 and 72, which is 36: \[ \frac{108 \div 36}{72 \div 36} = \frac{3}{2} \] 4. Now convert \(\frac{3}{2}\) into a mixed number: \[ \frac{3}{2} = 1 \frac{1}{2} \] Therefore, the value of the expression in mixed number form is: \[ \boxed{1 \frac{1}{2}} \]