The product of two rational numbers is (-28/81). If one of them is (-2/3), the find the other.

Question

asked Dec 13, 2021 74.8k views

2 Answers

Amresh Venugopal · Answer 1 · 2021-12-19T15:01:32+0000

Answer:

The other rational number is
(14)/(27) .

Explanation:

First rational number is
(-2)/(3)

Let other rational number is
(x)/(y)

The product of two rational numbers is
(-28)/(81)

According to question,

(x)/(y)* (-2)/(3)=(-28)/(81)

Multiplying both sides by (-3/2) such that,

$(x)/(y)* (-2)/(3)* (-3)/(2)=(-28)/(81)* (-3)/(2)\\\\(x)/(y)=(14)/(27)$

So, the other rational number is
(14)/(27) .