Math, asked by jyotiyadavvbn, 2 months ago

the sum of 2 ration number is 5/26 if one of them is -7/26 then find other​

Answers

Answered by tanusreeroy1479
1

Answer:

hence,

5/26-(-7/26)

5-(-7)/26

12/26

6/13

let me know if it's incorrect

Answered by MrImpeccable
13

QUESTION:

  • The sum of 2 rational numbers is 5/26. If one of them is -7/26, then find the other rational number.

ANSWER:

Given:

  • Sum of 2 rational nos = 5/26
  • One rational no. = -7/26

To Find:

  • Other rational no.

Solution:

Let us assume that the other rational number is x.

We are given that,

\implies\text{Sum of 2 rational nos}=\dfrac{5}{26}

So,

\implies x+\dfrac{-7}{26}=\dfrac{5}{26}

\implies x-\dfrac{7}{26}=\dfrac{5}{26}

Transposing 7/26 to RHS,

\implies x=\dfrac{5}{26}+\dfrac{7}{26}

As the denominator is same, hence the LCM is 26 only.

Combining the fractions,

\implies x=\dfrac{5}{26}+\dfrac{7}{26}

\implies x=\dfrac{5+7}{26}

\implies x=\dfrac{12}{26}

Dividing the numerator and denominator by 2,

\implies x=\dfrac{(12\div2)}{(26\div2)}

\implies\bf x=\dfrac{6}{13}

Therefore, the other rational number is 6/13.

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