Question 9 Divide and simplify: \( \frac{3 r^{2}}{5} \div(6 r) \) Question Help: Video

To divide the fractions, you can rewrite the division as multiplication by the reciprocal. So, \( \frac{3 r^{2}}{5} \div (6 r) \) becomes \( \frac{3 r^{2}}{5} \times \frac{1}{6 r} \). This gives you \( \frac{3 r^{2}}{30 r} \). Now simplify it: you can divide both the numerator and the denominator by \( 3 r \), resulting in \( \frac{r}{10} \). If you want to prevent common mistakes here, remember to always simplify the variables properly. Be careful with canceling terms! For instance, make sure to properly handle the coefficients and the variable \( r \): \( \frac{3}{30} \) reduces to \( \frac{1}{10} \), and \( \frac{r^{2}}{r} \) simply gives you \( r \).