What number should be added to

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 :

$x+\frac{(-3)}{5}=\frac{2}{3}$

$\Rightarrow x-\frac{3}{5}=\frac{2}{3}$

$\Rightarrow x=\frac{2}{3}+\frac{3}{5}=\frac{2 \times 5+3 \times 3}{15}$

$\Rightarrow x=\frac{10+9}{15}$

$\Rightarrow x=\frac{19}{15}$

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