What number should be added to

Question:

What number should be added to $\frac{-5}{11}$ so as to get $\frac{26}{33} ?$

Solution:

Let $x$ be added.

$\therefore x+\frac{-5}{11}=\frac{26}{33}$

$\Rightarrow x=\frac{26}{33}-\frac{-5}{11}$

$\Rightarrow x=\frac{26}{33}-\frac{-15}{33}$

$\Rightarrow x=\frac{26-(-15)}{33}$

$\Rightarrow x=\frac{26+15}{33}$

$\Rightarrow x=\frac{41}{33}$

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