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Question
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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Solution
\[\text{Let the other number be x .} \]
\[ \therefore x \times \frac{- 4}{15} = \frac{- 8}{9}\]
\[\text{or} x = \frac{- 8}{9} \div \frac{- 4}{15}\]
\[\text{or} x = \frac{- 8}{9} \times \frac{15}{- 4}\]
\[\text{or} x = \frac{10}{3}\]
\[\text{Thus, the other number is} \frac{10}{3} .\]
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