Question
$$400-\frac{200}{5}+100 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 400-\frac{200}{5}+100 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot400-5\cdot\frac{200}{5}+5\cdot100 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]2000-200+500 &= 0&& \text{simplify left side} \\[1 em]2300 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 2300 = 0 } $ is FALSE, we conclude that the equation has no solution.
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