The product of two rational numbers is \(\frac{-8}{9}\) . If one of the numbers is \(\frac{-4}{15}\) , find the other.
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It is given that the product of two rational numbers is \(\frac{-8}{9}\).
If one of the number is \(-\frac{4}{15}\) we have to find the other number.
So, the other number is obtained by dividing the product by the given number.
Therefore,
Other number = \(\frac{\frac{-8}{9}}{\frac{-4}{15}}\) = \(\frac{8\times 15}{9\times 4}\) = \(\frac{2\times 5}{3}\) = \(\frac{10}{3}\)