`\frac{2}{3}\sqrt{6}-3\sqrt{\frac{1}{27}}-6\sqrt{\frac{4}{75}}`
`=\frac{2\sqrt{6}}{3}-\sqrt{3^2. \frac{1}{27}}-\sqrt{6^2. \frac{4}{75}}`
`=\frac{2\sqrt{6}}{3}-\frac{\sqrt{3}}{3}-\frac{4\sqrt{3}}{5}`
`=\frac{2\sqrt{6}-\sqrt{3}}{3}-\frac{4\sqrt{3}}{5}`
`=\frac{5.(2\sqrt{6}-\sqrt{3})-4\sqrt{3}.3}{5}`
`=\frac{10\sqrt{6}-5\sqrt{3}-12\sqrt{3}}{15}`
`=\frac{10\sqrt{6}-17\sqrt{3}}{15}`