$\frac {1}{6}=\frac {10}{60},$$\frac {1}{5}=\frac {12}{60},$$\frac {11}{60}$是比$\frac {1}{6}$大且比$\frac {1}{5}$小的分数
$ \frac {1}{6}=\frac {15}{90},$$\frac {1}{5}=\frac {18}{90},$则$\frac {16}{90}=\frac {8}{45},$$\frac {17}{90}$也符合条件。
答:比$\frac {1}{6}$大且比$\frac {1}{5}$小的分数可以是$\frac {11}{60},$还可以是$\frac {8}{45}、$$\frac {17}{90}。$