Multiply and Divide Rational Expressions: example 8.18

Mulitply: $\frac{2 x}{3 y^{2}} \cdot \frac{6 x y^{3}}{x^{2} y} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Mulitply: $\frac{3 p q}{q^{2}} \cdot \frac{5 p^{2} q}{6 p q} .$

How did it go?


Multiply.
Factor the numerator and denominator completely, and then remove common factors.
Simplify.