Step 1: Evaluate the numerator. $$2.4 \times 1.68 \times 0.3 = 4.032 \times 0.3 = 1.2096$$ Step 2: Evaluate the denominator. $$0.32 \times 0.9 \times 6 = 0.288 \times 6 = 1.728$$ Step 3: Divide the numerator by the denominator. $$\frac{1.2096}{1.728}$$ To simplify the division, multiply both numerator and denominator by $10000$ to remove decimals: $$\frac{12096}{17280}$$ Step 4: Simplify the fraction. $$\frac{12096}{17280} = \frac{12096 \div 1728}{17280 \div 1728} = \frac{7}{10}$$ As a decimal: $$\frac{7}{10} = 0.7$$ The final answer is $\boxed{0.7}$. b) Evaluate $3\frac{1}{2} + (3\frac{1}{4} \text{ of } 2\frac{2}{3}) + 1\frac{1}{8}$ Step 1: Convert all mixed numbers to improper fractions. $$3\frac{1}{2} = \frac{(3 \times 2) + 1}{2} = \frac{7}{2}$$ $$3\frac{1}{4} = \frac{(3 \times 4) + 1}{4} = \frac{13}{4}$$ $$2\frac{2}{3} = \frac{(2 \times 3) + 2}{3} = \frac{8}{3}$$ $$1\frac{1}{8} = \frac{(1 \times 8) + 1}{8} = \frac{9}{8}$$ Step 2: Solve the "of" part, which means multiplication. $$3\frac{1}{4} \text{ of } 2\frac{2}{3} = \frac{13}{4} \times \frac{8}{3}$$ $$= \frac{13 \times 8}{4 \times 3} = \frac