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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