Math, asked by Unkownprincess, 1 month ago

Sum of two rational numbers is 3/5. If one of the numbers is -2/5. Which of the following expression is accurate to calculate the other number?

Answers

Answered by bipin1171
0

Answer:

Let the other number be x

A/q

-2/5+x=3/5

Answered by TwilightShine
19

Answer :-

  • The other rational number is 1.

To find :-

  • The other rational number.

Step-by-step explanation :-

  • Here, it is given that the sum of two rational numbers is 3/5 and one of the numbers is -2/5. We have to find the other number!

Let :-

  • The other number be "x".

Then :-

  • The sum of -2/5 and "x" will be equal to 3/5.

Therefore,

\dashrightarrow \: \rm \dfrac{-2}{ \: \:\: 5} + x = \dfrac{3}{5}

\rm \dashrightarrow \: x = \dfrac{3}{5} - \dfrac{-2}{\:\:\:5}

\dashrightarrow \: \rm x = \dfrac{3 - (-2)}{5}

\dashrightarrow \rm \: x = \dfrac{3 + 2}{5}

\dashrightarrow \: \rm x = \cancel{\dfrac{5}{5}}

\dashrightarrow \: \rm x = 1

 \\

Hence :-

  • The other number is 1.

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V E R I F I C A T I O N

  • To check our answer, let's add up 1 and -2/5 and see whether we get 3/5.

 \\

\bf \implies 1 + \dfrac{-2}{\:\:\:5}

\bf \implies \dfrac{1}{1} + \dfrac{-2}{\: \: \: 5}

\implies \bf \dfrac{(1 \times 5) + (-2 \times 1)}{5}

\bf \implies \dfrac{5 + (-2)}{5}

\implies \bf \dfrac{5 - 2}{5}

\implies \bf \dfrac{3}{5}

 \\

We get 3/5 on adding 1 and -2/5.

Hence verified!!

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