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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Updated on: 10-Oct-2022

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