question_answer

The product of two rational numbers is \[\frac{-8}{9}\] . If one of the number is \[\frac{-4}{15}\], find the other.

Answer:

Let the required number be x. \[\begin{align}   & \therefore \frac{-4}{15}\times x=\frac{-8}{9} \\  & x=\frac{-8}{9}\div \frac{-4}{15} \\ \end{align}\]            \[x=\frac{8\times 15}{9\times 4}\]     \[=\frac{10}{3}\] \[\therefore \]Other number is \[\frac{10}{3}\].