Question:
What number should be added to $\frac{-3}{5}$ to get $\frac{2}{3} ?$
Solution:
Let the required number be $x$.
Thus, we have :
$x+\frac{(-3)}{5}=\frac{2}{3}$
$\Rightarrow x-\frac{3}{5}=\frac{2}{3}$
$\Rightarrow x=\frac{2}{3}+\frac{3}{5}=\frac{2 \times 5+3 \times 3}{15}$
$\Rightarrow x=\frac{10+9}{15}$
$\Rightarrow x=\frac{19}{15}$