Question

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

Answer 1

Division of rational number:

Let us assume $x$ is the number which divides$\frac{-33}{16}$ to get $\frac{-22}{8}$.

$$\begin{gathered} \frac{{\displaystyle \frac{-33}{16}}}{x}=\frac{-22}{8} \\ \Rightarrow x=\frac{{\displaystyle \frac{-33}{16}}}{{\displaystyle \frac{-22}{8}}} \\ \Rightarrow x=\frac{33\times 8}{22\times 16} \\ \Rightarrow x=\frac{264}{352}=\frac{3}{4} \end{gathered}$$

Hence , the required value is $x=\frac{3}{4}$ .