Pre-Algebra Examples

$\frac{27 c^{4} d^{5}}{9 c^{7} d^{4}}$

Step 1

Cancel the common factor of $27$ and $9$ .

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Step 1.1

Factor $9$ out of $27 c^{4} d^{5}$ .

$\frac{9 (3 c^{4} d^{5})}{9 c^{7} d^{4}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $9$ out of $9 c^{7} d^{4}$ .

$\frac{9 (3 c^{4} d^{5})}{9 (c^{7} d^{4})}$

Step 1.2.2

Cancel the common factor.

$\frac{9 (3 c^{4} d^{5})}{9 (c^{7} d^{4})}$

Step 1.2.3

Rewrite the expression.

$\frac{3 c^{4} d^{5}}{c^{7} d^{4}}$

$\frac{3 c^{4} d^{5}}{c^{7} d^{4}}$

$\frac{3 c^{4} d^{5}}{c^{7} d^{4}}$

Step 2

Cancel the common factor of $c^{4}$ and $c^{7}$ .

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Step 2.1

Factor $c^{4}$ out of $3 c^{4} d^{5}$ .

$\frac{c^{4} (3 d^{5})}{c^{7} d^{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $c^{4}$ out of $c^{7} d^{4}$ .

$\frac{c^{4} (3 d^{5})}{c^{4} (c^{3} d^{4})}$

Step 2.2.2

Cancel the common factor.

$\frac{c^{4} (3 d^{5})}{c^{4} (c^{3} d^{4})}$

Step 2.2.3

Rewrite the expression.

$\frac{3 d^{5}}{c^{3} d^{4}}$

$\frac{3 d^{5}}{c^{3} d^{4}}$

$\frac{3 d^{5}}{c^{3} d^{4}}$

Step 3

Cancel the common factor of $d^{5}$ and $d^{4}$ .

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Step 3.1

Factor $d^{4}$ out of $3 d^{5}$ .

$\frac{d^{4} (3 d)}{c^{3} d^{4}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $d^{4}$ out of $c^{3} d^{4}$ .

$\frac{d^{4} (3 d)}{d^{4} c^{3}}$

Step 3.2.2

Cancel the common factor.

$\frac{d^{4} (3 d)}{d^{4} c^{3}}$

Step 3.2.3

Rewrite the expression.

$\frac{3 d}{c^{3}}$

$\frac{3 d}{c^{3}}$

$\frac{3 d}{c^{3}}$

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