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What number should be added to $\frac{−5}{11}$ so as to get $\frac{26}{33}$?
Given :
The given numbers are $\frac{-5}{11}$ and $\frac{26}{33}$.
To do :
We have to find the number that should be added to $\frac{-5}{11}$ to get $\frac{26}{33}$.
Solution :
Let the number to be added to $\frac{-5}{11}$ to get $\frac{26}{33}$ be $x$.
This implies,
$\frac{-5}{11}+x=\frac{26}{33}$
$x =\frac{26}{33} - (\frac{-5}{11})$
$x =\frac{26}{33} + \frac{5}{11}$
$x = \frac{[26(1)+5(3)]}{33}$
$x = \frac{(26+15)}{33}$
$x = \frac{41}{33}$.
The number to be added to $\frac{-5}{11}$ to get $\frac{26}{33}$ is $\frac{41}{33}$.   
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