Algebra Examples

$\frac{6 a}{b} \cdot \frac{c}{9 a}$

Step 1

Cancel the common factor of $3 a$ .

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Step 1.1

Factor $3 a$ out of $6 a$ .

$\frac{3 a (2)}{b} \cdot \frac{c}{9 a}$

Step 1.2

Factor $3 a$ out of $9 a$ .

$\frac{3 a (2)}{b} \cdot \frac{c}{3 a (3)}$

Step 1.3

Cancel the common factor.

$\frac{3 a \cdot 2}{b} \cdot \frac{c}{3 a \cdot 3}$

Step 1.4

Rewrite the expression.

$\frac{2}{b} \cdot \frac{c}{3}$

Step 2

Multiply $\frac{2}{b}$ by $\frac{c}{3}$ .

$\frac{2 c}{b \cdot 3}$

Step 3

Move $3$ to the left of $b$ .

$\frac{2 c}{3 b}$