Answer
$\dfrac{10}{3x}$
Work Step by Step
RECALL:
$(f/g)(x) = \dfrac{f(x)}{g(x)}$
Using the formula above gives:
$(r/t)(x)
\\= \dfrac{r(x)}{t(x)}
\\=\dfrac{\frac{5}{x^2}}{\frac{3}{2x}}$
Use the rule $\dfrac{\frac{a}{b}}{\frac{c}{d}}=\dfrac{a}{b} \times \dfrac{d}{c}$ to obtain:
$\require{cancel}
\\=\dfrac{5}{x^2} \cdot \dfrac{2x}{3}
\\=\dfrac{5}{\cancel{x^2}x} \cdot \dfrac{2\cancel{x}}{3}
\\=\dfrac{10}{3x}$
