$$\frac{1}{4}+\frac{1}{2} = 1$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{4}+\frac{1}{2} &= 1&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot\frac{1}{4}+4\cdot\frac{1}{2} &= 4\cdot1&& \text{cancel out the denominators} \\[1 em]1+2 &= 4&& \text{simplify left side} \\[1 em]3 &= 4&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 3 = 4 } $ is FALSE, we conclude that the equation has no solution.
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