Algebra Examples

$\frac{9 x^{5} y}{3 x^{6} y^{7}}$

Step 1

Cancel the common factor of $9$ and $3$ .

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Step 1.1

Factor $3$ out of $9 x^{5} y$ .

$\frac{3 (3 x^{5} y)}{3 x^{6} y^{7}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3 x^{6} y^{7}$ .

$\frac{3 (3 x^{5} y)}{3 (x^{6} y^{7})}$

Step 1.2.2

Cancel the common factor.

$\frac{3 (3 x^{5} y)}{3 (x^{6} y^{7})}$

Step 1.2.3

Rewrite the expression.

$\frac{3 x^{5} y}{x^{6} y^{7}}$

$\frac{3 x^{5} y}{x^{6} y^{7}}$

$\frac{3 x^{5} y}{x^{6} y^{7}}$

Step 2

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

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Step 2.1

Factor $x^{5}$ out of $3 x^{5} y$ .

$\frac{x^{5} (3 y)}{x^{6} y^{7}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x^{5}$ out of $x^{6} y^{7}$ .

$\frac{x^{5} (3 y)}{x^{5} (x y^{7})}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{5} (3 y)}{x^{5} (x y^{7})}$

Step 2.2.3

Rewrite the expression.

$\frac{3 y}{x y^{7}}$

$\frac{3 y}{x y^{7}}$

$\frac{3 y}{x y^{7}}$

Step 3

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

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Step 3.1

Factor $y$ out of $3 y$ .

$\frac{y \cdot 3}{x y^{7}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y$ out of $x y^{7}$ .

$\frac{y \cdot 3}{y (x y^{6})}$

Step 3.2.2

Cancel the common factor.

$\frac{y \cdot 3}{y (x y^{6})}$

Step 3.2.3

Rewrite the expression.

$\frac{3}{x y^{6}}$

$\frac{3}{x y^{6}}$

$\frac{3}{x y^{6}}$

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