Basic Math Examples

$\frac{a^{2} b^{6} c^{3}}{a^{3} b^{5} c^{4}}$

Step 1

Cancel the common factor of $a^{2}$ and $a^{3}$ .

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Step 1.1

Factor $a^{2}$ out of $a^{2} b^{6} c^{3}$ .

$\frac{a^{2} (b^{6} c^{3})}{a^{3} b^{5} c^{4}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $a^{2}$ out of $a^{3} b^{5} c^{4}$ .

$\frac{a^{2} (b^{6} c^{3})}{a^{2} (a b^{5} c^{4})}$

Step 1.2.2

Cancel the common factor.

$\frac{a^{2} (b^{6} c^{3})}{a^{2} (a b^{5} c^{4})}$

Step 1.2.3

Rewrite the expression.

$\frac{b^{6} c^{3}}{a b^{5} c^{4}}$

$\frac{b^{6} c^{3}}{a b^{5} c^{4}}$

$\frac{b^{6} c^{3}}{a b^{5} c^{4}}$

Step 2

Cancel the common factor of $b^{6}$ and $b^{5}$ .

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Step 2.1

Factor $b^{5}$ out of $b^{6} c^{3}$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $b^{5}$ out of $a b^{5} c^{4}$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{b c^{3}}{a c^{4}}$

$\frac{b c^{3}}{a c^{4}}$

$\frac{b c^{3}}{a c^{4}}$

Step 3

Cancel the common factor of $c^{3}$ and $c^{4}$ .

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Step 3.1

Factor $c^{3}$ out of $b c^{3}$ .

$\frac{c^{3} b}{a c^{4}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

$\frac{c^{3} b}{c^{3} (a c)}$

Step 3.2.2

Cancel the common factor.

$\frac{c^{3} b}{c^{3} (a c)}$

Step 3.2.3

Rewrite the expression.

$\frac{b}{a c}$

$\frac{b}{a c}$

$\frac{b}{a c}$

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