Algebra Examples

$\frac{10 x^{3}}{11 y^{2}} \cdot \frac{121 y^{5}}{25 x}$

Step 1

Combine.

$\frac{10 x^{3} (121 y^{5})}{11 y^{2} (25 x)}$

Step 2

Cancel the common factor of $10$ and $25$ .

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Step 2.1

Factor $5$ out of $10 x^{3} (121 y^{5})$ .

$\frac{5 (2 x^{3} (121 y^{5}))}{11 y^{2} (25 x)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $11 y^{2} (25 x)$ .

$\frac{5 (2 x^{3} (121 y^{5}))}{5 (11 y^{2} (5 x))}$

Step 2.2.2

Cancel the common factor.

$\frac{5 (2 x^{3} (121 y^{5}))}{5 (11 y^{2} (5 x))}$

Step 2.2.3

Rewrite the expression.

$\frac{2 x^{3} (121 y^{5})}{11 y^{2} (5 x)}$

Step 3

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

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Step 3.1

Factor $x$ out of $2 x^{3} (121 y^{5})$ .

$\frac{x (2 x^{2} (121 y^{5}))}{11 y^{2} (5 x)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x$ out of $11 y^{2} (5 x)$ .

$\frac{x (2 x^{2} (121 y^{5}))}{x (11 y^{2} \cdot (5))}$

Step 3.2.2

Cancel the common factor.

$\frac{x (2 x^{2} (121 y^{5}))}{x (11 y^{2} \cdot (5))}$

Step 3.2.3

Rewrite the expression.

$\frac{2 x^{2} (121 y^{5})}{11 y^{2} \cdot (5)}$

Step 4

Cancel the common factor of $121$ and $11$ .

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Step 4.1

Factor $11$ out of $2 x^{2} (121 y^{5})$ .

$\frac{11 (2 x^{2} (11 y^{5}))}{11 y^{2} \cdot (5)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $11$ out of $11 y^{2} \cdot (5)$ .

$\frac{11 (2 x^{2} (11 y^{5}))}{11 (y^{2} \cdot (5))}$

Step 4.2.2

Cancel the common factor.

$\frac{11 (2 x^{2} (11 y^{5}))}{11 (y^{2} \cdot (5))}$

Step 4.2.3

Rewrite the expression.

$\frac{2 x^{2} (11 y^{5})}{y^{2} \cdot (5)}$

Step 5

Cancel the common factor of $y^{5}$ and $y^{2}$ .

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Step 5.1

Factor $y^{2}$ out of $2 x^{2} (11 y^{5})$ .

$\frac{y^{2} (2 x^{2} (11 y^{3}))}{y^{2} \cdot (5)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $y^{2}$ out of $y^{2} \cdot (5)$ .

$\frac{y^{2} (2 x^{2} (11 y^{3}))}{y^{2} (5)}$

Step 5.2.2

Cancel the common factor.

$\frac{y^{2} (2 x^{2} (11 y^{3}))}{y^{2} \cdot 5}$

Step 5.2.3

Rewrite the expression.

$\frac{2 x^{2} (11 y^{3})}{5}$

Step 6

Multiply $11$ by $2$ .

$\frac{22 x^{2} y^{3}}{5}$