Question

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

Answer 1

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