Perform the operations:  $\left(\mathrm{<mn>1</mn>}-\frac{1}{\mathrm{<mn>5</mn>}}\right)+\left(\mathrm{<mn>2</mn>}-\frac{2}{\mathrm{<mn>9</mn>}}\right):\frac{1}{\mathrm{<mn>9</mn>}}$