由于$ \frac {1}{6}= \frac {25}{150},$$ \frac {1}{5}= \frac {30}{150},$$ \frac {27}{150}= \frac {9}{50},$
可知$ \frac {1}{6}< \frac {9}{50}< \frac {1}{5}.$
由于$ \frac {1}{6}= \frac {15}{90},$$ \frac {1}{5}= \frac {18}{90},$$ \frac {16}{90}= \frac {8}{45},$
可知$ \frac {1}{6}< \frac {8}{45}< \frac {1}{5}.$
由此可知,满足条件的数有$ \frac {8}{45}$