Simplify (6x+6)/7*14/(24x+24)

$\frac{6 x + 6}{7} \cdot \frac{14}{24 x + 24}$

Step 1

Factor $6$ out of $6 x + 6$ .

Factor $6$ out of $6 x$ .

$\frac{6 (x) + 6}{7} \cdot \frac{14}{24 x + 24}$

Factor $6$ out of $6$ .

$\frac{6 (x) + 6 (1)}{7} \cdot \frac{14}{24 x + 24}$

Factor $6$ out of $6 (x) + 6 (1)$ .

$\frac{6 (x + 1)}{7} \cdot \frac{14}{24 x + 24}$

Step 2

Factor $24$ out of $24 x + 24$ .

Factor $24$ out of $24 x$ .

$\frac{6 (x + 1)}{7} \cdot \frac{14}{24 (x) + 24}$

Factor $24$ out of $24$ .

$\frac{6 (x + 1)}{7} \cdot \frac{14}{24 (x) + 24 (1)}$

Factor $24$ out of $24 (x) + 24 (1)$ .

$\frac{6 (x + 1)}{7} \cdot \frac{14}{24 (x + 1)}$

Step 3

Cancel the common factor of $6 (x + 1)$ .

Factor $6 (x + 1)$ out of $24 (x + 1)$ .

$\frac{6 (x + 1)}{7} \cdot \frac{14}{6 (x + 1) (4)}$

Cancel the common factor.

$\frac{6 (x + 1)}{7} \cdot \frac{14}{6 (x + 1) \cdot 4}$

Rewrite the expression.

$\frac{1}{7} \cdot \frac{14}{4}$

Step 4

Cancel the common factor of $7$ .

Factor $7$ out of $14$ .

$\frac{1}{7} \cdot \frac{7 (2)}{4}$

Cancel the common factor.

$\frac{1}{7} \cdot \frac{7 \cdot 2}{4}$

Rewrite the expression.

$\frac{2}{4}$

Step 5

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

Simplify (6x+6)/7*14/(24x+24)

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