Question

What number should be added to $\frac{-6}{11}$ so as to get $\frac{4}{9}$?

Answer 1

Let the number to be added is $x$.

$x+\left(\frac{-6}{11}\right)=\frac{4}{9}$

$x=\frac{4}{9}+\frac{6}{11}$ {LCM $(9,11)=99$}

$x=\frac{4\times 11+6\times 9}{99}$

$x=\frac{44+54}{99}=\frac{98}{99}$.