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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Updated on: 10-Oct-2022

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