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

To do:

We have to find the number that should be multiplied by $\frac{-3}{4}$ so that the product is $\frac{2}{3}$.

Solution:

Let the number that should be multiplied by $\frac{-3}{4}$ so that the product is $\frac{2}{3}$ be $x$.

This implies,

$\frac{-3}{4}\times x=\frac{2}{3}$

$x=\frac{2}{3}\div\frac{-3}{4}$

$x=\frac{2}{3}\times\frac{4}{-3}$

$x=\frac{2\times4}{3\times-3}$

$x=\frac{8}{-9}$

$x=\frac{-8}{9}$

Therefore, the other number is $\frac{-8}{9}$.  

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Updated on: 10-Oct-2022

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