Question
$$\frac{200}{100}\cdot\frac{1}{5}-1 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{200}{100}\cdot\frac{1}{5}-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100 \cdot \frac{200}{100}\cdot\frac{1}{5}-100\cdot1 &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]40-100 &= 0&& \text{simplify left side} \\[1 em]-60 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -60 = 0 } $ is FALSE, we conclude that the equation has no solution.
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