Question
$$\frac{6}{20}x = \frac{4}{8}$$
Answer
$$ x = \dfrac{5}{3} $$
Explanation
$$ \begin{aligned} \frac{6}{20}x &= \frac{4}{8}&& \text{multiply ALL terms by } \color{blue}{ 40 }. \\[1 em]40 \cdot \frac{6}{20}x &= 40\cdot\frac{4}{8}&& \text{cancel out the denominators} \\[1 em]12x &= 20&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{20}{12}&& \\[1 em]x &= \frac{5}{3}&& \\[1 em] \end{aligned} $$
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