Algebra Examples

$\frac{9}{7 x} \cdot \frac{14}{3} \cdot \frac{18 x}{6}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{7 x} \cdot \frac{14}{3} \cdot \frac{18 x}{6}$

Step 1.2

Cancel the common factor.

$\frac{3 \cdot 3}{7 x} \cdot \frac{14}{3} \cdot \frac{18 x}{6}$

Step 1.3

Rewrite the expression.

$\frac{3}{7 x} \cdot 14 \cdot \frac{18 x}{6}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $7 x$ .

$\frac{3}{7 (x)} \cdot 14 \cdot \frac{18 x}{6}$

Step 2.2

Factor $7$ out of $14$ .

$\frac{3}{7 (x)} \cdot (7 (2)) \cdot \frac{18 x}{6}$

Step 2.3

Cancel the common factor.

$\frac{3}{7 x} \cdot (7 \cdot 2) \cdot \frac{18 x}{6}$

Step 2.4

Rewrite the expression.

$\frac{3}{x} \cdot 2 \cdot \frac{18 x}{6}$

Step 3

Combine $\frac{3}{x}$ and $2$ .

$\frac{3 \cdot 2}{x} \cdot \frac{18 x}{6}$

Step 4

Multiply $3$ by $2$ .

$\frac{6}{x} \cdot \frac{18 x}{6}$

Step 5

Cancel the common factor of $6$ .

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Step 5.1

Cancel the common factor.

$\frac{6}{x} \cdot \frac{18 x}{6}$

Step 5.2

Rewrite the expression.

$\frac{1}{x} \cdot (18 x)$

Step 6

Cancel the common factor of $x$ .

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Step 6.1

Factor $x$ out of $18 x$ .

$\frac{1}{x} \cdot (x \cdot 18)$

Step 6.2

Cancel the common factor.

$\frac{1}{x} \cdot (x \cdot 18)$

Step 6.3

Rewrite the expression.

$18$