Question
$$\frac{1}{12}+\frac{2}{8} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{12}+\frac{2}{8} &= 0&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24\cdot\frac{1}{12}+24\cdot\frac{2}{8} &= 24\cdot0&& \text{cancel out the denominators} \\[1 em]2+6 &= 0&& \text{simplify left side} \\[1 em]8 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 8 = 0 } $ is FALSE, we conclude that the equation has no solution.
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