Pre-Algebra Examples

$\frac{3 x}{7} \div \frac{9 x + 18}{7 x + 14}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Factor $7$ out of $7 x + 14$ .

Tap for more steps...

Step 2.1

Factor $7$ out of $7 x$ .

$\frac{3 x}{7} \cdot \frac{7 (x) + 14}{9 x + 18}$

Step 2.2

Factor $7$ out of $14$ .

$\frac{3 x}{7} \cdot \frac{7 x + 7 \cdot 2}{9 x + 18}$

Step 2.3

Factor $7$ out of $7 x + 7 \cdot 2$ .

$\frac{3 x}{7} \cdot \frac{7 (x + 2)}{9 x + 18}$

Step 3

Factor $9$ out of $9 x + 18$ .

Tap for more steps...

Step 3.1

Factor $9$ out of $9 x$ .

$\frac{3 x}{7} \cdot \frac{7 (x + 2)}{9 (x) + 18}$

Step 3.2

Factor $9$ out of $18$ .

$\frac{3 x}{7} \cdot \frac{7 (x + 2)}{9 x + 9 \cdot 2}$

Step 3.3

Factor $9$ out of $9 x + 9 \cdot 2$ .

$\frac{3 x}{7} \cdot \frac{7 (x + 2)}{9 (x + 2)}$

Step 4

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.1

Factor $3$ out of $3 x$ .

$\frac{3 (x)}{7} \cdot \frac{7 (x + 2)}{9 (x + 2)}$

Step 4.2

Factor $3$ out of $9 (x + 2)$ .

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

Step 4.3

Cancel the common factor.

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

Step 4.4

Rewrite the expression.

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

Step 5

Cancel the common factor of $7$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

$x \frac{x + 2}{3 (x + 2)}$

Step 6

Combine $x$ and $\frac{x + 2}{3 (x + 2)}$ .

$\frac{x (x + 2)}{3 (x + 2)}$

Step 7

Cancel the common factor of $x + 2$ .

Tap for more steps...

Step 7.1

Cancel the common factor.

$\frac{x (x + 2)}{3 (x + 2)}$

Step 7.2

Rewrite the expression.

$\frac{x}{3}$