Answer:
B.) 9/5
Step-by-step explanation:
-\frac{1}{4}\left(-\frac{\frac{4}{5}}{\frac{2}{3}}\right)\cdot \:6
=\frac{1}{4}\cdot \frac{\frac{4}{5}}{\frac{2}{3}}\cdot \:6
=\frac{1}{4}\cdot \frac{4\cdot \:3}{5\cdot \:2}\cdot \:6
=\frac{1}{4}\cdot \frac{2\cdot \:3}{5}\cdot \:6
=\frac{1}{4}\cdot \frac{2\cdot \:3}{5}\cdot \frac{6}{1}
=\frac{1}{2}\cdot \frac{3}{1}\cdot \frac{2\cdot \:3}{5}
=\frac{1\cdot \:3\cdot \:2\cdot \:3}{2\cdot \:1\cdot \:5}
=\frac{18}{2\cdot \:1\cdot \:5}
=\frac{18}{10}
\frac{2\cdot \:9}{10}
=\frac{2\cdot \:9}{2\cdot \:5}
=\frac{9}{5}