m:n = \(2\frac{1}{3} : 1\frac{1}{5}\) = m : n = \(\frac{7}{3} : \frac{6}{5}\) \(\frac{7}{3} : \frac{6}{5}\) = \(\frac{7}{3} \div \frac{6}{5}\) \(\frac{m}{n}\) = \(\frac{7}{3} \times \frac{5}{6}\) \(\frac{m}{n}\) = \(\frac{35}{18}\) = m = \(\frac{35n}{18}\) n : q = \(1\frac{1}{2} : 1\frac{1}{3}\) = \(\frac{3}{2} : \frac{4}{3}\) \(\frac{n}{q}\) = \(\frac{3}{2} \times\frac{3}{4}\) \(\frac{n}{q}\) = \(\frac{9}{8}\) = q = \(\frac{8n}{9}\) q : m = \(\frac{8n}{9}\) : \(\frac{35n}{18}\) \(\frac{q}{m}\) = \(\frac{8n}{9} \div \frac{35n}{18}\) \(\frac{q}{m}\) = \(\frac{8n}{9}\times\frac{18}{35n}\) =\(\frac{q}{m} = \frac{16}{35}\) = q : m = 16 : 35