Question

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

Answer 1

\[\text{Let the number be x .} \]
\[ \therefore x \times \frac{- 1}{6} = \frac{- 23}{9}\]
\[x = \frac{- 23}{9} \div \frac{- 1}{6}\]
\[ x = \frac{- 23}{9} \times \frac{6}{- 1} = \frac{46}{3}\]
\[\text{Therefore, the other number is} \frac{46}{3} .\]