Question
$$\frac{\frac{1}{3}}{7}\cdot(30-2) = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{\frac{1}{3}}{7}\cdot(30-2) &= 0&& \text{simplify left side} \\[1 em]\frac{\frac{1}{3}}{7}\cdot28 &= 0&& \text{multiply ALL terms by } \color{blue}{ 21 }. \\[1 em]21 \cdot \frac{\frac{1}{3}}{7}\cdot28 &= 21\cdot0&& \text{cancel out the denominators} \\[1 em]28 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 28 = 0 } $ is FALSE, we conclude that the equation has no solution.
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