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Question
$$\frac{27}{12} = \frac{\frac{27}{125}}{6}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{27}{12} &= \frac{\frac{27}{125}}{6}&& \text{multiply ALL terms by } \color{blue}{ 1500 }. \\[1 em]1500\cdot\frac{27}{12} &= 1500 \cdot \frac{\frac{27}{125}}{6}&& \text{cancel out the denominators} \\[1 em]3375 &= 54&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 3375 = 54 } $ is FALSE, we conclude that the equation has no solution.
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