Question
$$\frac{\frac{\frac{4}{3}}{1}}{15}+\frac{5}{6} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{\frac{\frac{4}{3}}{1}}{15}+\frac{5}{6} &= 0&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30 \cdot \frac{\frac{\frac{4}{3}}{1}}{15}+30\cdot\frac{5}{6} &= 30\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{8}{3}+25 &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot\frac{8}{3}+3\cdot25 &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]8+75 &= 0&& \text{simplify left side} \\[1 em]83 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 83 = 0 } $ is FALSE, we conclude that the equation has no solution.
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