What number should be added to

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Question:

What number should be added to $\frac{-5}{7}$ to get $\frac{-2}{3} ?$

Solution:

Let $x$ be added.

$\therefore x+\frac{-5}{7}=\frac{-2}{3}$

$\Rightarrow x=\frac{-2}{3}-\frac{-5}{7}$

$\Rightarrow x=\frac{-14}{21}-\frac{-15}{21}$

$\Rightarrow x=\frac{-14-(-15)}{21}$

$\Rightarrow x=\frac{-14+15}{21}$

$\Rightarrow x=\frac{1}{21}$

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