Question
$$\frac{\frac{311}{5}}{3}-\frac{9}{5} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{\frac{311}{5}}{3}-\frac{9}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15 \cdot \frac{\frac{311}{5}}{3}-15\cdot\frac{9}{5} &= 15\cdot0&& \text{cancel out the denominators} \\[1 em]311-27 &= 0&& \text{simplify left side} \\[1 em]284 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 284 = 0 } $ is FALSE, we conclude that the equation has no solution.
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