Question

By what number should $\frac{-33}{16}$be divided to get $\frac{-22}{8}$?

Answer 1

Assume any variable by which $\frac{-33}{16}$be divided to get $\frac{-22}{8}$ to form an equation and then solve that equation for the assumed variable.

Let x be the number by which $\frac{-33}{16}$ is divided to get $\frac{-22}{8}$
$\begin{array}{rcl}\frac{-33}{16}÷x& =& \frac{-22}{8}\\ x& =& \frac{-33}{16}\times \frac{-8}{22}\\ x& =& \frac{3}{2}\times \frac{1}{2}\\ x& =& \frac{3}{4}\end{array}$
Therefore, $\frac{-33}{16}$should be divided by $\frac{3}{4}$ to get $\frac{-22}{8}$.