​ By what number should -3/4 be multiplied in order to produce 2/3? ​

Question

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

Answer 1

Let the required number be ‘x’

Now,

According to the question,

\(x\times \frac{-3}{4}\) = \(\frac{2}{3}\)

x = \(\frac{\frac{2}{3}}{\frac{-3}{4}}\)

x = \(\frac{2}{3}\) x \(\frac{-4}{3}\)

x = \(\frac{-8}{9}\)