#### Answer

$2$

#### Work Step by Step

The general formula to calculate the determinate of a $2 \times 2$ matrix which has 2 rows and 2 coulmns is
$D=\begin{vmatrix}a&b\\c&d\end{vmatrix}=ad-bc$
Now,
$D=\begin{vmatrix}\frac{1}{5}&\frac{1}{6}\\-6&5\end{vmatrix}=1+1=2$