c) [tex]\it \frac{\frac{4}{3} \cdot \frac{1}{2} + \frac{2}{3} \cdot 2 }{\frac{2}{3} \cdot \frac{1}{2} } = \frac{\frac{2}{3} + \frac{4}{3} }{\frac{1}{3} } \\ \\ \it \frac{\frac{4}{6}~+~^{2)} \frac{4}{3} }{\frac{2}{6} } = \frac{\frac{6}{3} }{\frac{1}{3} } \\ \\ \it \frac{\frac{4}{6} + \frac{8}{6} }{\frac{2}{6} } = \frac{\frac{6}{3} }{\frac{1}{3} } \\ \\ \it \frac{\frac{12}{6} }{\frac{2}{6} } = \frac{\frac{6}{3} }{\frac{1}{3} } \\ \\ \it \frac{12}{6} \cdot \frac{6}{2} = \frac{6}{3} \cdot 3 \\ \\ \it 6 = 6~~~(A)[/tex]