Question

The sum of two rational numbers is -5.If one of the number is -7/3,find the other.
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Answer 1

Answer:

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Step-by-step explanation:

Let the number be x

x+(-7/3) = -5

x=-5+7/3

after taking L. C. M

x= -15+7/3

x= -8/3

Answer 2

Answer:

$\bold{\dfrac{-8 }{3}}$

Step-by-step explanation:

Let the other rational number to be $\bold{\dfrac{x}{y}}$

According to the question:

$\bold{\dfrac{x}{y}} + \bold{\dfrac{-7}{3}} = -5$  

⇒  $\bold{\dfrac{x}{y}} = -5 - \bold{\dfrac{-7}{3}}$

⇒ Taking LCM ,  $\bold{\dfrac{x}{y}} =\bold{\dfrac{(-5 x 3)}{3}} - \bold{\dfrac{-7}{3}}$

⇒$\bold{\dfrac{x}{y}} =\bold{\dfrac{-15 }{3}} - \bold{\dfrac{-7}{3}}$

⇒ $\bold{\dfrac{x}{y}} =\bold{\dfrac{-15-(-7) }{3}}$

⇒ $\bold{\dfrac{x}{y}} =\bold{\dfrac{-15+ 7 }{3}}$

⇒$\bold{\dfrac{x}{y}} =\bold{\dfrac{-8 }{3}}$

∴ The other rational number is $\bold{\dfrac{-8 }{3}}$