Question

By what number should $\frac{-44}{9}$ be divided to get $\frac{-11}{3}$

Answer 1

Let the number be $x$.

As per the given question;

$\frac{{\displaystyle \frac{-44}{9}}}{x}=\frac{-11}{3}$

By cross multiplication, we get;

$$\begin{gathered} x=\frac{{\displaystyle \frac{-44}{9}}}{{\displaystyle \frac{-11}{3}}} \\ =\frac{-44}{9}\times \frac{3}{-11} \\ =\frac{4}{3} \end{gathered}$$

Therefore, $\frac{-44}{9}$ should be divided by $\frac{4}{3}$ to get $\frac{-11}{3}$ .