Algebra Examples

$\frac{8 d - 3}{9} + \frac{4 d + 12}{9}$

Step 1

Combine the numerators over the common denominator.

$\frac{8 d - 3 + 4 d + 12}{9}$

Step 2

Add $8 d$ and $4 d$ .

$\frac{12 d - 3 + 12}{9}$

Step 3

Add $- 3$ and $12$ .

$\frac{12 d + 9}{9}$

Step 4

Cancel the common factor of $12 d + 9$ and $9$ .

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Step 4.1

Factor $3$ out of $12 d$ .

$\frac{3 (4 d) + 9}{9}$

Step 4.2

Factor $3$ out of $9$ .

$\frac{3 (4 d) + 3 (3)}{9}$

Step 4.3

Factor $3$ out of $3 (4 d) + 3 (3)$ .

$\frac{3 (4 d + 3)}{9}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $3$ out of $9$ .

$\frac{3 (4 d + 3)}{3 (3)}$

Step 4.4.2

Cancel the common factor.

$\frac{3 (4 d + 3)}{3 \cdot 3}$

Step 4.4.3

Rewrite the expression.

$\frac{4 d + 3}{3}$

$\frac{4 d + 3}{3}$

$\frac{4 d + 3}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$