QuestionSimplify the fraction: $\frac{t + 3 t^{-2}}{5 - 2 t^{-1}}$.

Studdy Solution
Now, we can simplify the complex fraction by multiplying the numerator and the denominator by $t^2$.
$$\frac{t+\frac{3}{t^2}}{5-\frac{2}{t}} = \frac{t^3+3}{5t^2-2t}$$So, the simplified form of the complex fraction $\frac{t+3 t^{-2}}{5-2 t^{-1}}$ is $\frac{t^3+3}{5t^2-2t}$.