Let $x=\frac{7}{8}$ and $y=-\frac{2}{9}$.  If $x\cdot z = y$, then what is $z$?
I can rewrite this equation as $z = \frac{y}{x}$ by dividing both sides by $x$. Now I just need to plug in the values of $x$ and $y$ and simplify. I have $z = \frac{-\frac{2}{9}}{\frac{7}{8}}$. To divide fractions, I can flip and multiply, so $z = -\frac{2}{9}\cdot \frac{8}{7}$. Multiplying the numerators and the denominators, I get $z = -\frac{16}{63}$. 