Pre-Algebra Examples

$\frac{16 v}{12 v^{4} w^{5} - 20 v^{2} y^{4}}$

Step 1

Factor $4 v^{2}$ out of $12 v^{4} w^{5} - 20 v^{2} y^{4}$ .

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Step 1.1

Factor $4 v^{2}$ out of $12 v^{4} w^{5}$ .

$\frac{16 v}{4 v^{2} (3 v^{2} w^{5}) - 20 v^{2} y^{4}}$

Step 1.2

Factor $4 v^{2}$ out of $- 20 v^{2} y^{4}$ .

$\frac{16 v}{4 v^{2} (3 v^{2} w^{5}) + 4 v^{2} (- 5 y^{4})}$

Step 1.3

Factor $4 v^{2}$ out of $4 v^{2} (3 v^{2} w^{5}) + 4 v^{2} (- 5 y^{4})$ .

$\frac{16 v}{4 v^{2} (3 v^{2} w^{5} - 5 y^{4})}$

Step 2

Cancel the common factor of $16$ and $4$ .

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Step 2.1

Factor $4$ out of $16 v$ .

$\frac{4 (4 v)}{4 v^{2} (3 v^{2} w^{5} - 5 y^{4})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $4 v^{2} (3 v^{2} w^{5} - 5 y^{4})$ .

$\frac{4 (4 v)}{4 (v^{2} (3 v^{2} w^{5} - 5 y^{4}))}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (4 v)}{4 (v^{2} (3 v^{2} w^{5} - 5 y^{4}))}$

Step 2.2.3

Rewrite the expression.

$\frac{4 v}{v^{2} (3 v^{2} w^{5} - 5 y^{4})}$

Step 3

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

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Step 3.1

Factor $v$ out of $4 v$ .

$\frac{v \cdot 4}{v^{2} (3 v^{2} w^{5} - 5 y^{4})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $v$ out of $v^{2} (3 v^{2} w^{5} - 5 y^{4})$ .

$\frac{v \cdot 4}{v (v (3 v^{2} w^{5} - 5 y^{4}))}$

Step 3.2.2

Cancel the common factor.

$\frac{v \cdot 4}{v (v (3 v^{2} w^{5} - 5 y^{4}))}$

Step 3.2.3

Rewrite the expression.

$\frac{4}{v (3 v^{2} w^{5} - 5 y^{4})}$