Answer :

Answer:

The other number is (-18/7)

Step-by-step explanation:

Let the other rational number be 'x'.

  [tex]\sf x * \dfrac{7}{9}= \dfrac{-14}{7}[/tex]

       [tex]\sf x = \dfrac{-14}{7} \div \dfrac{7}{9}[/tex]

Now, use KCF method.

  • Keep the first fraction
  • Change the division to multiplication
  • Flip the second fraction

   

       [tex]\sf x = \dfrac{-14}{7}*\dfrac{9}{7}\\\\x = -2* \dfrac{9}{7}\\\\x = \dfrac{-18}{7}[/tex]

Answer:

-18/7

Step-by-step explanation:

let the unknown no be y

7/9×y= -14/7

7y/9= -14/7

cross multiply

-14×9=7y×7

divide both sides by 7

-2×9=7y

-18=7y

divide both sides by the coefficient of y which is 7

y= -18/7

hope this helps

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