Simplify ((5x)/3)(6/(11x))(x/10)

$(\frac{5 x}{3}) (\frac{6}{11 x}) (\frac{x}{10})$

Step 1

Cancel the common factor of $x$ .

Factor $x$ out of $5 x$ .

$\frac{x \cdot 5}{3} \cdot \frac{6}{11 x} \cdot \frac{x}{10}$

Factor $x$ out of $11 x$ .

$\frac{x \cdot 5}{3} \cdot \frac{6}{x \cdot 11} \cdot \frac{x}{10}$

Cancel the common factor.

$\frac{x \cdot 5}{3} \cdot \frac{6}{x \cdot 11} \cdot \frac{x}{10}$

Rewrite the expression.

$\frac{5}{3} \cdot \frac{6}{11} \cdot \frac{x}{10}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{5}{3} \cdot \frac{3 (2)}{11} \cdot \frac{x}{10}$

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 \cdot 2}{11} \cdot \frac{x}{10}$

Rewrite the expression.

$5 (\frac{2}{11}) \cdot \frac{x}{10}$

Step 3

Combine $5$ and $\frac{2}{11}$ .

$\frac{5 \cdot 2}{11} \cdot \frac{x}{10}$

Step 4

Multiply $5$ by $2$ .

$\frac{10}{11} \cdot \frac{x}{10}$

Step 5

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10}{11} \cdot \frac{x}{10}$

Rewrite the expression.

$\frac{1}{11} \cdot x$

Step 6

Combine $\frac{1}{11}$ and $x$ .

$\frac{x}{11}$