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