Pre-Algebra Examples

$\frac{2 a c + 2 a d}{3 a^{2} c + 3 a^{2} d}$

Step 1

Factor $2 a$ out of $2 a c + 2 a d$ .

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Step 1.1

Factor $2 a$ out of $2 a c$ .

$\frac{2 a (c) + 2 a d}{3 a^{2} c + 3 a^{2} d}$

Step 1.2

Factor $2 a$ out of $2 a d$ .

$\frac{2 a (c) + 2 a (d)}{3 a^{2} c + 3 a^{2} d}$

Step 1.3

Factor $2 a$ out of $2 a (c) + 2 a (d)$ .

$\frac{2 a (c + d)}{3 a^{2} c + 3 a^{2} d}$

$\frac{2 a (c + d)}{3 a^{2} c + 3 a^{2} d}$

Step 2

Factor $3 a^{2}$ out of $3 a^{2} c + 3 a^{2} d$ .

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Step 2.1

Factor $3 a^{2}$ out of $3 a^{2} c$ .

$\frac{2 a (c + d)}{3 a^{2} (c) + 3 a^{2} d}$

Step 2.2

Factor $3 a^{2}$ out of $3 a^{2} d$ .

$\frac{2 a (c + d)}{3 a^{2} (c) + 3 a^{2} (d)}$

Step 2.3

Factor $3 a^{2}$ out of $3 a^{2} (c) + 3 a^{2} (d)$ .

$\frac{2 a (c + d)}{3 a^{2} (c + d)}$

$\frac{2 a (c + d)}{3 a^{2} (c + d)}$

Step 3

Cancel the common factor of $a$ and $a^{2}$ .

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Step 3.1

Factor $a$ out of $2 a (c + d)$ .

$\frac{a (2 (c + d))}{3 a^{2} (c + d)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $a$ out of $3 a^{2} (c + d)$ .

$\frac{a (2 (c + d))}{a (3 a (c + d))}$

Step 3.2.2

Cancel the common factor.

$\frac{a (2 (c + d))}{a (3 a (c + d))}$

Step 3.2.3

Rewrite the expression.

$\frac{2 (c + d)}{3 a (c + d)}$

$\frac{2 (c + d)}{3 a (c + d)}$

$\frac{2 (c + d)}{3 a (c + d)}$

Step 4

Cancel the common factor of $c + d$ .

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Step 4.1

Cancel the common factor.

$\frac{2 (c + d)}{3 a (c + d)}$

Step 4.2

Rewrite the expression.

$\frac{2}{3 a}$

$\frac{2}{3 a}$

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