#### Answer

$-1\frac{2}{3}$

#### Work Step by Step

$-\frac{2}{7}\times(6-\frac{1}{6})$
$=-\frac{2}{7}\times(\frac{36}{6}-\frac{1}{6})$
$=-\frac{2}{7}\times\frac{35}{6}$
$=-(\frac{2}{7}\times\frac{35}{6})$
$=-(\frac{1}{1}\times\frac{5}{3})$
$=-\frac{5}{3}$
$=-1\frac{2}{3}$