Question

the sum of two rational numbers is 8 if one of the number is-5/6 find the other​

Answer 1

Answer:

The other rational number x = $\frac{43}{6}$

Step-by-step explanation:

Let the other number be x.

$\frac{-5}{6}$ + x = 8

$\frac{-5 + 6x}{6}$  = 8

6x - 5 = 8 * 6

6x - 5 = 48

6x = 48 - 5

6x = 43

x = $\frac{43}{6}$

Answer 2

Given:

Sum of two rational numbers = $8$

One of the rational number = $\frac{ - 5}{6}$

To find:

The other number.

Solution:

Let the other number be $x$.

As per the question,

Sum of two rational numbers = $8$

$\longrightarrow{\green{}}$ $\frac{ - 5}{6} + x = 8$

$\longrightarrow{\green{}}$ $x = 8 + \frac{5}{6}$

$\longrightarrow{\green{}}$ $x = \frac{8 \times 6}{1 \times 6} + \frac{5}{6}$

$\longrightarrow{\green{}}$ $x = \frac{48}{6} + \frac{5}{6}$

$\longrightarrow{\green{}}$ $x = \frac{48 + 5}{6}$

$\longrightarrow{\green{}}$ $x = \frac{53}{6}$

Therefore, the other number is $\boxed{ \frac{53}{6} }$.