Question

The product of two rational numbers is -28/21. If one of them is-2/3, then find the other. Please answer with steps.

Answer 1

Let the number be x.

Given

$\bold{Product \ of \ two \ rational \ numbers} = \dfrac{-28}{21}$

$\bold{One \ of \ the \ number } = \dfrac{-2}{3}$

$\implies \dfrac{-2}{3} x=\dfrac{-28}{21}$

A number which is to be multiplied is divided, if brought to the other side of the equation.

$\implies x = \dfrac{-28}{21} \times \dfrac{3}{-2}$

Negatives are cancelled

$\implies x = \dfrac{14}{7}$

$\boxed{\boxed{\bold{Therefore, \ the \ other \ number \ is \ \frac{14}{7}}}}}}}$