Algebra Examples

$\frac{\frac{4}{2 x + 2}}{\frac{8}{3 x + 3}}$

Step 1

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

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Step 1.1

Factor $2$ out of $4$ .

$\frac{\frac{2 \cdot 2}{2 x + 2}}{\frac{8}{3 x + 3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $2 x$ .

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

Step 1.2.2

Factor $2$ out of $2$ .

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

Step 1.2.3

Factor $2$ out of $2 (x) + 2 (1)$ .

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

Step 1.2.4

Cancel the common factor.

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

Step 1.2.5

Rewrite the expression.

$\frac{\frac{2}{x + 1}}{\frac{8}{3 x + 3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $8$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{1}{x + 1} \cdot \frac{3 x + 3}{4}$

Step 4

Multiply $\frac{1}{x + 1}$ by $\frac{3 x + 3}{4}$ .

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

Step 5

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

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Step 5.1

Factor $3$ out of $3 x$ .

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

Step 5.2

Factor $3$ out of $3$ .

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

Step 5.3

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

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

Step 6

Cancel the common factor of $x + 1$ .

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Step 6.1

Cancel the common factor.

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

Step 6.2

Rewrite the expression.

$\frac{3}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$