Question
$$\frac{8}{2}-\frac{5}{53} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{8}{2}-\frac{5}{53} &= 0&& \text{multiply ALL terms by } \color{blue}{ 106 }. \\[1 em]106\cdot\frac{8}{2}-106\cdot\frac{5}{53} &= 106\cdot0&& \text{cancel out the denominators} \\[1 em]424-10 &= 0&& \text{simplify left side} \\[1 em]414 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 414 = 0 } $ is FALSE, we conclude that the equation has no solution.
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