By what number should we multiply

Question:

By what number should we multiply $\frac{-1}{6}$ so that the product may be $\frac{-23}{9} ?$

Solution:

Let the number $b e \mathrm{x}$.

$\therefore \mathrm{x} \times \frac{-1}{6}=\frac{-23}{9}$

$\begin{aligned} \mathrm{x} &=\frac{-23}{9} \div \frac{-1}{6} \\ \mathrm{x} &=\frac{-23}{9} \times \frac{6}{-1}=\frac{46}{3} \end{aligned}$

Therefore, the other number is $\frac{46}{3}$.

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