$$457x\cdot\frac{65}{378} = 65$$

$$ \begin{aligned} 457x\cdot\frac{65}{378} &= 65&& \text{multiply ALL terms by } \color{blue}{ 378 }. \\[1 em]378457x\cdot\frac{65}{378} &= 378\cdot65&& \text{cancel out the denominators} \\[1 em]29705x &= 24570&& \text{ divide both sides by $ 29705 $ } \\[1 em]x &= \frac{24570}{29705}&& \\[1 em]x &= \frac{378}{457}&& \\[1 em] \end{aligned} $$

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