Question
$$\frac{2}{7}\cdot3 = 1$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{2}{7}\cdot3 &= 1&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7 \cdot \frac{2}{7}\cdot3 &= 7\cdot1&& \text{cancel out the denominators} \\[1 em]6 &= 7&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 6 = 7 } $ is FALSE, we conclude that the equation has no solution.
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