Question

The product of two rational numbers - 28/9 if one of them is - 4/9 find the other

Answer 1

Answer :-

Given :- $\sf{Product\ of\ two\ rational\ numbers = \dfrac{-28}{9}}$ ;

$\sf{One\ of\ them\ is\ \dfrac{-4}{9}}$

To Find :- Other number.

Solution :-

Let the other number be x.

$\rightarrow\sf \: x \: \times \: \dfrac{ - 4}{9} \: = \: \dfrac{ - 28}{9}$

$\rightarrow\sf \: x \: = \: \dfrac{ - 28}{9} \: \times \: \dfrac{ - 9}{4}$

$\rightarrow\boxed{\sf \: x \: = \: 7}$

Verification :-

$\rightarrow\sf{\dfrac{-4}{9} \times 7 = \dfrac{-28}{9}}$

$\rightarrow\sf{\dfrac{-28}{9} = \dfrac{-28}{9}}$

Hence, Verified !!

$\boxed{\boxed{\sf{So,\ the\ other\ number\ is\ 7.}}}$

Answer 2

Answer

Let the other rational number be = x

=> x × (-4)/9 = (-28)/9

=> x = (-28)/(-4)

=> x = 7