Question

By what number should \[\frac{- 3}{4}\] be multiplied in order to produce \[\frac{2}{3}?\]

Answer 1

\[\text{Let the other number that should be multiplied with} \frac{- 3}{4} \text{to produce} \frac{2}{3} \text{be x . }\]
\[ \therefore x \times \frac{- 3}{4} = \frac{2}{3}\]
\[\text{or}\ x = \frac{2}{3} \div \frac{- 3}{4}\]
\[\text{or}\ x = \frac{2}{3} \times \frac{4}{- 3}\]
\[\text{or}\ x = \frac{- 8}{9}\]
\[\text{Thus, the number is} \frac{- 8}{9} .\]