Question
What number should be added to $\frac{-3}{5}$ to get $\frac{2}{3}$?
✓
Answer
Let the required number be $x$
Thus, we have: $\text{x}+\frac{(-3)}{5}=\frac{2}{3}$
$\Rightarrow\text{x}-\frac{3}{5}=\frac{2}{3}$
$\Rightarrow\text{x}=\frac{2}{3}+\frac{3}{5}$
$\Rightarrow\text{x}=\frac{2\times5+3\times3}{15}$
$\Rightarrow\text{x}=\frac{10+9}{15}$
$\Rightarrow\text{x}=\frac{19}{15}$
Thus, we have: $\text{x}+\frac{(-3)}{5}=\frac{2}{3}$
$\Rightarrow\text{x}-\frac{3}{5}=\frac{2}{3}$
$\Rightarrow\text{x}=\frac{2}{3}+\frac{3}{5}$
$\Rightarrow\text{x}=\frac{2\times5+3\times3}{15}$
$\Rightarrow\text{x}=\frac{10+9}{15}$
$\Rightarrow\text{x}=\frac{19}{15}$
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