$$ \begin{aligned} \frac{a}{3}-2\frac{a}{5}+a &= 0&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15 \cdot \frac{a}{3}-15\cdot2\frac{a}{5}+15a &= 15\cdot0&& \text{cancel out the denominators} \\[1 em]5a-6a+15a &= 0&& \text{simplify left side} \\[1 em]14a &= 0&& \text{ divide both sides by $ 14 $ } \\[1 em]a &= \frac{0}{14}&& \\[1 em]a &= 0&& \\[1 em] \end{aligned} $$

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