$$48 = 45-\frac{4}{6}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 48 &= 45-\frac{4}{6}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot48 &= 6\cdot45-6\cdot\frac{4}{6}&& \text{cancel out the denominators} \\[1 em]288 &= 270-4&& \text{simplify right side} \\[1 em]288 &= 266&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 288 = 266 } $ is FALSE, we conclude that the equation has no solution.
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