Simplify (3x+3)/2*4/(24x+24)

$\frac{3 x + 3}{2} \cdot \frac{4}{24 x + 24}$

Step 1

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

Factor $3$ out of $3 x$ .

$\frac{3 (x) + 3}{2} \cdot \frac{4}{24 x + 24}$

Factor $3$ out of $3$ .

$\frac{3 (x) + 3 (1)}{2} \cdot \frac{4}{24 x + 24}$

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

$\frac{3 (x + 1)}{2} \cdot \frac{4}{24 x + 24}$

Step 2

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

Factor $24$ out of $24 x$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{24 (x) + 24}$

Factor $24$ out of $24$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{24 (x) + 24 (1)}$

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

$\frac{3 (x + 1)}{2} \cdot \frac{4}{24 (x + 1)}$

Step 3

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

Factor $3 (x + 1)$ out of $24 (x + 1)$ .

$\frac{3 (x + 1)}{2} \cdot \frac{4}{3 (x + 1) (8)}$

Cancel the common factor.

$\frac{3 (x + 1)}{2} \cdot \frac{4}{3 (x + 1) \cdot 8}$

Rewrite the expression.

$\frac{1}{2} \cdot \frac{4}{8}$

Step 4

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{1}{2} \cdot \frac{2 (2)}{8}$

Cancel the common factor.

$\frac{1}{2} \cdot \frac{2 \cdot 2}{8}$

Rewrite the expression.

$\frac{2}{8}$

Step 5

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

Simplify (3x+3)/2*4/(24x+24)

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