Question

By what number should we multiply $\frac{-8}{13}$ so that the product may be $24$ ?

Answer 1

Given

The product of two rational numbers $=24$

One number $=\frac{-8}{13}$

Find out the required number

Let us assume the other number be $n$.

According to given details, we get to know that

$\begin{array}{rcl}n\times \left(\frac{-8}{13}\right)& =& 24\\ & \Rightarrow & n=\frac{24}{{\displaystyle \frac{-8}{13}}}\\ & \Rightarrow & n=\frac{24}{1}\times \frac{-13}{8}\\ & \Rightarrow & n=\frac{3}{1}\times \frac{-13}{1}\\ & \Rightarrow & n=-39\end{array}$

So, the other number is $-39$ .