$ 解:(\frac {1}{6}-\frac {2}{7}+\frac {2}{3}-\frac {3}{14})÷(-\frac {1}{42})$
$=(\frac {1}{6}-\frac {2}{7}+\frac {2}{3}-\frac {3}{14})×(-42)$
$=(-7)+12-28+9$
$=-14所以(-\frac {1}{42})÷(\frac {1}{6}-\frac {2}{7}+\frac {2}{3}-\frac {3}{14})=-\frac {1}{14}$