# How do you multiply (4(x+2))/(5x)*(6x^2)/(2x)?

Apr 26, 2018

$\frac{12 \left(x + 2\right)}{5}$
Firstly, I will write the generalised formula. $\frac{a}{b} \cdot \frac{c}{d} = \frac{a c}{b d}$
So, we have $\frac{4 \left(x + 2\right)}{5 x} \cdot \frac{6 {x}^{2}}{2 x} = \frac{4 \left(x + 2\right) \left(6 {x}^{2}\right)}{5 x \left(2 x\right)} = \frac{24 {x}^{2} \left(x + 2\right)}{10 {x}^{2}}$
$\frac{24 \cancel{{x}^{2}} \left(x + 2\right)}{10 \cancel{{x}^{2}}} = \frac{24 \left(x + 2\right)}{10} = \frac{12 \left(x + 2\right)}{5}$