Answer:
The other rational number is [tex]\dfrac{14}{27}[/tex].
Step-by-step explanation:
First rational number is [tex]\dfrac{-2}{3}[/tex]
Let other rational number is [tex]\dfrac{x}{y}[/tex]
The product of two rational numbers is [tex]\dfrac{-28}{81}[/tex]
According to question,
[tex]\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}[/tex]
Multiplying both sides by (-3/2) such that,
[tex]\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}[/tex]
So, the other rational number is [tex]\dfrac{14}{27}[/tex].
