解:由题意,得$a = \pm\frac{2}{3},$$b = \pm\frac{3}{5}。$
①当$a=\frac{2}{3},$$b=\frac{3}{5}$时,$\frac{2}{3}=\frac{10}{15},$$\frac{3}{5}=\frac{9}{15},$因为$\frac{10}{15}>\frac{9}{15},$所以$a > b;$
②当$a=\frac{2}{3},$$b=-\frac{3}{5}$时,正数大于负数,所以$a > b;$
③当$a=-\frac{2}{3},$$b=\frac{3}{5}$时,正数大于负数,所以$a < b;$
④当$a=-\frac{2}{3},$$b=-\frac{3}{5}$时,$\vert -\frac{2}{3}\vert=\frac{2}{3}=\frac{10}{15},$$\vert -\frac{3}{5}\vert=\frac{3}{5}=\frac{9}{15},$
因为$\frac{10}{15}>\frac{9}{15},$根据两个负数比较大小,绝对值大的反而小,
所以$a < b。$