$$ \begin{aligned} \frac{5}{11} &= \frac{v}{20}&& \text{multiply ALL terms by } \color{blue}{ 220 }. \\[1 em]220\cdot\frac{5}{11} &= 220 \cdot \frac{v}{20}&& \text{cancel out the denominators} \\[1 em]100 &= 11v&& \text{ swap the left and right side of the equation } \\[1 em]11v &= 100&& \text{ divide both sides by $ 11 $ } \\[1 em]v &= \frac{100}{11}&& \\[1 em] \end{aligned} $$

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