Simplify $\frac{2s^5}{s^3} - 6s^2 + \frac{7s^3}{s}$.
To simplify a fraction, I can divide both the numerator and the denominator by any common factors they have. In this case, the first fraction $\frac{2s^5}{s^3}$ has a common factor of $s^3$ in both the numerator and the denominator, so I can divide both by $s^3$ and get $\frac{2s^5}{s^3} = \frac{2s^2}{1} = 2s^2$. Similarly, the second fraction $\frac{7s^3}{s}$ has a common factor of $s$ in both the numerator and the denominator, so I can divide both by $s$ and get $\frac{7s^3}{s} = \frac{7s^2}{1} = 7s^2$. Now I have $2s^2 - 6s^2 + 7s^2$, which are all terms with the same degree of $s$. To combine them, I can add or subtract their coefficients, which are the numbers in front of $s^2$. I get $2s^2 - 6s^2 + 7s^2 = (2 - 6 + 7)s^2 = 3s^2$. 