Answer
Not invertible.
Work Step by Step
We know that if the determinant of a matrix $\begin{bmatrix}
a &b \\
c & d
\end{bmatrix}$ $, D=ad-bc$ is $0$, then the matrix is not invertible.
Here $D=\frac{3}{4}\cdot\frac{2}{3}-\frac{3}{5}\cdot\frac{5}{6}=\frac{1}{2}-\frac{1}{2}=0$, thus the matrix is not invertible.