Question
$$\frac{3}{4}+\frac{1}{2}\cdot\frac{7}{8} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{3}{4}+\frac{1}{2}\cdot\frac{7}{8} &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot\frac{3}{4}+8\frac{1}{2}\cdot\frac{7}{8} &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]6+\frac{7}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot6+2\cdot\frac{7}{2} &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]12+7 &= 0&& \text{simplify left side} \\[1 em]19 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 19 = 0 } $ is FALSE, we conclude that the equation has no solution.
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