Answer
$-\frac{35}{27}$
Work Step by Step
$\frac{7}{6}\div(-\frac{9}{10})=\frac{7}{6}\times-\frac{10}{9}=\frac{7\times-10}{6\times9}=\frac{-70}{54}=-\frac{70}{54}$
$-\frac{70}{54}=-\frac{70\div2}{54\div2}=-\frac{35}{27}$
The numbers being multiplied together have different signs, so the resulting product is negative.