Question
$$\frac{4}{5}+\frac{9}{11} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{4}{5}+\frac{9}{11} &= 0&& \text{multiply ALL terms by } \color{blue}{ 55 }. \\[1 em]55\cdot\frac{4}{5}+55\cdot\frac{9}{11} &= 55\cdot0&& \text{cancel out the denominators} \\[1 em]44+45 &= 0&& \text{simplify left side} \\[1 em]89 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 89 = 0 } $ is FALSE, we conclude that the equation has no solution.
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