# How do you multiply (30a^2)/(18b)*(6b)/(5a)?

Apr 9, 2015

The answer is $2 a$.

Multiply both numerators and both denominators, then simplify.

$\frac{30 {a}^{2}}{18 b} \cdot \frac{6 b}{5 a}$ =

$\frac{180 {a}^{2} b}{90 a b}$ =

Reduce $\frac{180}{90}$ to $2$ =

$\frac{2 {a}^{2} b}{a b}$ =

Reduce ${a}^{2} / a$ to $a$.

$\frac{2 a b}{b}$ =

Cancel the b in the numerator and denominator.

$\frac{2 a \cancel{b}}{\cancel{b}}$ =

$2 a$