Math, asked by Monoj116, 3 months ago

The sum of two rational numbers is -4/9.One of them is 2/3. Find the other ​

Answers

Answered by deveshkansal48853
0

Answer:

fa5=6

Step-by-step explanation:

Answered by Anonymous
9
  • Let the another rational number be 'x'.

Need to Find :-

  • The other rational number.

Solution :-

Given that

  • The sum of two rational numbers is -4/9.
  • One of them is 2/3.

Equation Formed :-

  • ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎\small\underline{\boxed{\bf{\dfrac{2}{3}+x=\dfrac{-4}{9}}}}

Now, solve for "X"

\:\:\:\:\:\:\::\implies{\sf{ \bigg(\dfrac{2}{3}+x \bigg)=\dfrac{-4}{9}}}

\:\:\:\:\:\:\:\:\:\:\::\implies{\sf{x=\bigg(\dfrac{-4}{9}-\dfrac{2}{3}\bigg)}}

Putting the value of x:-

\\:\:\:\implies{\sf{x=\bigg(\dfrac{3\times -4}{3\times 9} \bigg)- \bigg(\dfrac{9\times 2}{9\times 3}\bigg)}}

\:\:\:\:\:\:\:\:\:\:\:\:\::\implies{\sf{x=\bigg(\dfrac{-12}{27}-\dfrac{18}{27}\bigg)}}

\:\:\:\:\:\:\:\:\:\:\:\:\::\implies{\sf{x=\dfrac{\cancel{-30}}{\cancel{27}}}}

\:\:\:\:\:\:\:\:\:\:\:\:\::\implies{\boxed{\frak{\pink{x=\dfrac{-10}{9}}}}}

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