#### Answer

-$\frac{25x}{22}$

#### Work Step by Step

$\frac{10}{11}$$\div$ $-\frac{4}{5x}$ =
=$\frac{10}{11}$$\times$$-\frac{5x}{4}$=
=-$\frac{10\times5x} {11\times 4}$=
=-$\frac{2\times5\times5x}{11\times2\times2}$=
=-$\frac{5\times5x} {11\times 2}$
= -$\frac{25x}{22}$