The product of two fractions is the fraction whose numerator is the product of the numerators and whose denominator is the product of the denominators. If possible, simplify your answer.

Example

$$\begin{aligned} \frac{x}{6y}\cdot \frac{2y^2}{z^2} &= \frac{x\cdot 2y^2}{6y\cdot z^2}\\[0.3cm] &= \frac{xy}{3z^2}\end{aligned}$$

Division by a fraction is the same as multiplication by the inverted fraction.

The inverted fraction is obtained by interchanging the numerator and the denominator.

Example

$$\begin{aligned} \frac{12x}{2x+1} \div \frac{4x^2}{2x-1} &= \frac{12x}{2x+1}\cdot \frac{2x-1}{4x^2}\\[0.25cm] &= \frac{3(2x-1)}{x(2x+1)}\end{aligned}$$