Simplify (4/(5x))(-(45x)/2)

$(\frac{4}{5 x}) (- \frac{45 x}{2})$

Step 1

Rewrite using the commutative property of multiplication.

$- \frac{4}{5 x} \cdot \frac{45 x}{2}$

Step 2

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{4}{5 x}$ into the numerator.

$\frac{- 4}{5 x} \cdot \frac{45 x}{2}$

Factor $2$ out of $- 4$ .

$\frac{2 (- 2)}{5 x} \cdot \frac{45 x}{2}$

Cancel the common factor.

$\frac{2 \cdot - 2}{5 x} \cdot \frac{45 x}{2}$

Rewrite the expression.

$\frac{- 2}{5 x} (45 x)$

Step 3

Cancel the common factor of $5 x$ .

Factor $5 x$ out of $45 x$ .

$\frac{- 2}{5 x} (5 x (9))$

Cancel the common factor.

$\frac{- 2}{5 x} (5 x \cdot 9)$

Rewrite the expression.

$- 2 \cdot 9$

Step 4

Multiply $- 2$ by $9$ .

$- 18$