(a) \(\frac{4\frac{2}{9} - 1\frac{13}{15}}{2\frac{1}{5} + \frac{4}{7} \times 2\frac{1}{3}}\) \(4\frac{2}{9} - 1\frac{13}{15} = \frac{38}{9} - \frac{28}{15}\) = \(\frac{190 - 84}{45}\) = \(\frac{106}{45}\) \(2\frac{1}{5} + \frac{4}{7} \times 2\frac{1}{3} = \frac{11}{5} + (\frac{4}{7} \times \frac{7}{3})\) = \(\frac{11}{5} + \frac{4}{3}\) = \(\frac{33 + 20}{15}\) = \(\frac{53}{15}\) \(\therefore \frac{4\frac{2}{9} - 1\frac{13}{15}}{2\frac{1}{5} + \frac{4}{7} \times 2\frac{1}{3}} = \frac{106}{45} \div \frac{53}{15}\) = \(\frac{106}{45} \times \frac{15}{53}\) = \(\frac{2}{3}\) (b) \(\frac{7\sqrt{5}}{\sqrt{7}}\) = \(\frac{7\sqrt{5}}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}}\) = \(\frac{7\sqrt{35}}{7}\) = \(\sqrt{35}\)