Question
$$\frac{1}{6}+\frac{5}{8}+\frac{3}{4} = \frac{3}{5}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{6}+\frac{5}{8}+\frac{3}{4} &= \frac{3}{5}&& \text{multiply ALL terms by } \color{blue}{ 120 }. \\[1 em]120\cdot\frac{1}{6}+120\cdot\frac{5}{8}+120\cdot\frac{3}{4} &= 120\cdot\frac{3}{5}&& \text{cancel out the denominators} \\[1 em]20+75+90 &= 72&& \text{simplify left side} \\[1 em]185 &= 72&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 185 = 72 } $ is FALSE, we conclude that the equation has no solution.
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