$$ \begin{aligned} \frac{51}{4}-\frac{21}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot\frac{51}{4}-4\cdot\frac{21}{2} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]51-42 &= 0&& \text{simplify left side} \\[1 em]9 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 9 = 0 } $ is FALSE, we conclude that the equation has no solution.
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