The sum of two rational numbers is 2.
Question:

The sum of two rational numbers is $-2$. If one of the numbers is $\frac{-14}{5}$, find the other.

Solution:

Let the other number be $x$.

Now,

$\Rightarrow x+\frac{-14}{5}=-2$

$\Rightarrow x-\frac{14}{5}=-2$

$\Rightarrow x=-2+\frac{14}{5}$

$\Rightarrow x=\frac{(-2) \times 5+14}{5}$

$\Rightarrow x=\frac{-10+14}{5}$

$\Rightarrow x=\frac{4}{5}$

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