Algebra Examples

$\frac{\frac{7}{x + 2}}{\frac{9}{3 x + 6}}$

Step 1

Cancel the common factor of $9$ and $3 x + 6$ .

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Step 1.1

Factor $3$ out of $9$ .

$\frac{\frac{7}{x + 2}}{\frac{3 \cdot 3}{3 x + 6}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3 x$ .

$\frac{\frac{7}{x + 2}}{\frac{3 \cdot 3}{3 (x) + 6}}$

Step 1.2.2

Factor $3$ out of $6$ .

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

Step 1.2.3

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

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

Step 1.2.4

Cancel the common factor.

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

Step 1.2.5

Rewrite the expression.

$\frac{\frac{7}{x + 2}}{\frac{3}{x + 2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Cancel the common factor of $x + 2$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$7 (\frac{1}{3})$

Step 4

Combine $7$ and $\frac{1}{3}$ .

$\frac{7}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{3}$

Decimal Form:

$2.\overline{3}$

Mixed Number Form:

$2 \frac{1}{3}$