1. **Problem (a): Compare $\frac{2}{3}$ of $\frac{3}{4}$ and $\frac{3}{4}$ of $\frac{2}{3}$.** 2. "Of" means multiplication, so calculate each: $$\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}$$ $$\frac{3}{4} \times \frac{2}{3} = \frac{3 \times 2}{4 \times 3} = \frac{6}{12} = \frac{1}{2}$$ 3. Both expressions simplify to $\frac{1}{2}$, so they are equal. 4. **Answer:** Both the same. 5. **Problem (b): Compare $\frac{2}{3} \div \frac{3}{4}$ and $\frac{3}{4} \div \frac{2}{3}$.** 6. Division of fractions means multiply by the reciprocal: $$\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{4}{3} = \frac{8}{9}$$ $$\frac{3}{4} \div \frac{2}{3} = \frac{3}{4} \times \frac{3}{2} = \frac{9}{8}$$ 7. Compare $\frac{8}{9} \approx 0.888$ and $\frac{9}{8} = 1.125$. 8. Since $\frac{9}{8} > \frac{8}{9}$, $\frac{3}{4} \div \frac{2}{3}$ is greater. 9. **Answer:** $\frac{3}{4} \div \frac{2}{3}$ is greater.