4.33=

$${\frac{4}{9}} \cdot 3\frac{3}{4} = {\frac{4}{9}} \cdot {\frac{15}{4}} = {\frac{4 \cdot 15}{9 \cdot 4}} = {\frac{4 \cdot 3 \cdot 5}{3 \cdot 3 \cdot 4}} = {\frac{5}{3}} = 1\frac{2}{3}$$

Ответ: $$1\frac{2}{3}$$