Question

The product of two rational numbers is $12.$If one of them is $-8,$find the other.

Answer 1

Let the other rational number be $x.$

According to question,

$$\begin{gathered} -8\times x=12 \\ x=12÷\left(-8\right) \\ x=12\times \frac{1}{-8} \\ x=\frac{12}{1}\times \frac{1}{-8} \\ x=\frac{12}{-8} \\ x=\frac{3}{-2} \\ or,x=\frac{-3}{2}\left(\frac{3}{-2}=\frac{3\times -1}{-2\times -1}=\frac{-3}{2}\right) \end{gathered}$$

Hence, the other number is $\frac{-3}{2}.$