Pre-Algebra Examples

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

Step 1

Factor $3$ out of $3 x + 3$ .

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Step 1.1

Factor $3$ out of $3 x$ .

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

Step 1.2

Factor $3$ out of $3$ .

$\frac{3 (x) + 3 (1)}{7} \cdot \frac{14}{18 x + 18}$

Step 1.3

Factor $3$ out of $3 (x) + 3 (1)$ .

$\frac{3 (x + 1)}{7} \cdot \frac{14}{18 x + 18}$

Step 2

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

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Step 2.1

Factor $18$ out of $18 x$ .

$\frac{3 (x + 1)}{7} \cdot \frac{14}{18 (x) + 18}$

Step 2.2

Factor $18$ out of $18$ .

$\frac{3 (x + 1)}{7} \cdot \frac{14}{18 (x) + 18 (1)}$

Step 2.3

Factor $18$ out of $18 (x) + 18 (1)$ .

$\frac{3 (x + 1)}{7} \cdot \frac{14}{18 (x + 1)}$

Step 3

Cancel the common factor of $3 (x + 1)$ .

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Step 3.1

Factor $3 (x + 1)$ out of $18 (x + 1)$ .

$\frac{3 (x + 1)}{7} \cdot \frac{14}{3 (x + 1) (6)}$

Step 3.2

Cancel the common factor.

$\frac{3 (x + 1)}{7} \cdot \frac{14}{3 (x + 1) \cdot 6}$

Step 3.3

Rewrite the expression.

$\frac{1}{7} \cdot \frac{14}{6}$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Factor $7$ out of $14$ .

$\frac{1}{7} \cdot \frac{7 (2)}{6}$

Step 4.2

Cancel the common factor.

$\frac{1}{7} \cdot \frac{7 \cdot 2}{6}$

Step 4.3

Rewrite the expression.

$\frac{2}{6}$

Step 5

Cancel the common factor of $2$ and $6$ .

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Step 5.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 1}{2 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$\frac{1}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$