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What should be added to $\frac{-5}{9}$ to get $\frac{-5}{6}$?
Given :
The given numbers are $\frac{-5}{9}$ and $\frac{-5}{6}$.
To do :
We have to find the number that should be added to $\frac{-5}{9}$ to get $\frac{-5}{6}$.
Solution :
Let the number to be added to $\frac{-5}{9}$ to get $\frac{-5}{6}$.
This implies,
$\frac{-5}{9}+x=\frac{-5}{6}$
$x =\frac{-5}{6} - (\frac{-5}{9})$
$x =\frac{-5}{6} + \frac{5}{6}$
$x = \frac{[-5(3)+5(2)]}{18}$
$x = \frac{(-15+10)}{18}$
$x = \frac{-5}{18}$.
The number to be added to $\frac{-5}{9}$ to get $\frac{-5}{6}$ is $\frac{-5}{18}$.
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