Question

The sum of two rational numbers is 5/26 If one of the number is -7/26 find the other.​

Answer 1

Answer:

The sum of two rational numbers is $\frac{5}{26}$  If one of the number is $\frac{-7}{26}$. The other is $\frac{12}{26}$

Step-by-step explanation:

Let us consider two rational number be x and y.

The sum of two rational numbers is $\frac{5}{26}$

One rational number (x) is $\frac{-7}{26}$

                                        $x+y=\frac{5}{26} \\ \\ \frac{-7}{26} +y=\frac{5}{26}\\ \\ y=\frac{5}{26}-(\frac{-7}{26})\\ \\ y=\frac{5}{26}+\frac{7}{26}\\ \\ y=\frac{12}{26}$

Answer 2

Answer:

The value of other number is $\frac{12}{26}$.

Step-by-step explanation:

Given : The sum of two rational numbers = $\frac{5}{26}$

           One number = $\frac{-7}{26}$

To find : Other number =?

Solution :

• It is given that the sum of two rational numbers = $\frac{5}{26}$

                   One number = $\frac{-7}{26}$

• We have to find the other number.
• Let, the other number be $x$.
• So, according to given data, the equation becomes,

               $\frac{-7}{26} +x=\frac{5}{26}$

• Transpose $\frac{-7}{26}$ to other side, we get

               ∴ $x=\frac{5}{26} +\frac{7}{26}$

• Since, denominators are same, we can add the numerators.

               ∴ $x=\frac{12}{26}$

• ∴ The value of other number is $\frac{12}{26}$.