7) 1 1/2 \(\cdot\) 3 4/9 =

Convert mixed numbers to improper fractions: $$1 \frac{1}{2} = \frac{3}{2}$$ and $$3 \frac{4}{9} = \frac{31}{9}$$. Multiply the fractions: $$\frac{3}{2} \times \frac{31}{9} = \frac{3 \times 31}{2 \times 9} = \frac{93}{18}$$. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3: $$\frac{93 \div 3}{18 \div 3} = \frac{31}{6}$$. Convert back to a mixed number: $$\frac{31}{6} = 5 \frac{1}{6}$$.