Question

By what number should $\frac{-33}{16}$ be divided to got $\frac{-11}{4}$?

Answer 1

Let x be the number required.

Then, we have

$$\begin{gathered} \frac{-33}{16}÷x=\frac{-11}{4} \\ \Rightarrow \frac{-33}{16}\times \frac{1}{x}=\frac{-11}{4} \\ \Rightarrow \frac{-33}{16}\times \frac{4}{-11}=x \\ x=\frac{-3\times 11}{4\times 4}\times \frac{4}{-11}=\frac{3}{4} \end{gathered}$$