Question

The product of two rational numbers is 5/9
of one of the rational number is -8/9
find the other​

Answer 1

Answer:

x=-5/8

Step-by-step explanation:

Given,

product of two rational numbers=5/9

and one of the rational number=-8/9

Let the other rational number be 'x'

According to the sum,

-8/9(x)=5/9

x=5/9(-9/8)

x=-5/8

HOPE THIS ANSWER HELPS YOU!!!

Answer 2

$\Huge{\boxed{\mathfrak{solution :-}}}$

✦ Given :

 1. Product of two rational number

  is 5/9

 2. One of the rational number

  is -8/9

========================

✦ To find :

   Other number

========================

✪  Let the other number

     is 'x'

========================

  So,

 According to the question :-

$\implies\:-\dfrac{8}{9}\times\:x=\dfrac{5}{9}\\\\\\ \implies -\dfrac{8x}{9}=\dfrac{5}{9}\\\\\\ \implies -\:8x=\dfrac{5}{9}\times9 \\\\\\ \implies -8x=5\\\\\\ \implies x=-\dfrac{5}{8}$

========================

∴ Other number is

$\boxed{\bold{-\dfrac{5}{8}\:Answer}}$

========================

$\huge\boxed{{\mathfrak{verification \downarrow}}}$

✪ To verify the answer we have

   to put the value of 'x' in above

   equation

$\implies\:-\dfrac{8}{9}\times\:x=\dfrac{5}{9}$

$\implies -\dfrac{8}{9}\times -\dfrac{5}{8}=\dfrac{5}{9}\:\:\:\bigg[\:'-'\:and\:'-'\:cancelled\:out\bigg]\\\\\\ \implies\dfrac{8}{9}\times\dfrac{5}{8}=\dfrac{5}{9}\:\:\:\:\:\:\:\:\:\:\bigg[\:'8'\:and\:'8'\:cancelled\:out\bigg]\\\\\\ \implies\dfrac{5}{9}=\dfrac{5}{9}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \big[L.H.S=R.H.S\big]$

========================

$\huge{\boxed{L.H.S=R.H.S}}\\\\\huge{\boxed{\mathfrak{hence\:verified}}}$