Question
$$\frac{20}{7} = \frac{6}{m}$$
Answer
$$ m = \dfrac{21}{10} $$
Explanation
$$ \begin{aligned} \frac{20}{7} &= \frac{6}{m}&& \text{multiply ALL terms by } \color{blue}{ 7m }. \\[1 em]7m\cdot\frac{20}{7} &= 7m\cdot\frac{6}{m}&& \text{cancel out the denominators} \\[1 em]20m &= 42&& \text{ divide both sides by $ 20 $ } \\[1 em]m &= \frac{42}{20}&& \\[1 em]m &= \frac{21}{10}&& \\[1 em] \end{aligned} $$
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