4/9 * 3 3/4 = ?

Let's solve the expression step by step:

1. First, convert the mixed number $$3\frac{3}{4}$$ to an improper fraction:
$$3\frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}$$

2. Now, multiply the two fractions:
$$\frac{4}{9} \times \frac{15}{4} = \frac{4 \times 15}{9 \times 4} = \frac{60}{36}$$

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 12:
$$\frac{60}{36} = \frac{60 \div 12}{36 \div 12} = \frac{5}{3}$$

4. Convert the improper fraction $$\frac{5}{3}$$ to a mixed number:
$$\frac{5}{3} = 1\frac{2}{3}$$

So, the result of the expression is:
$$\frac{4}{9} \times 3\frac{3}{4} = 1\frac{2}{3}$$

Answer: 1 2/3