Algebra Examples

$\frac{48 x^{5}}{49 y^{4}} \cdot \frac{7 y^{2}}{16 x^{3}}$

Step 1

Combine.

$\frac{48 x^{5} (7 y^{2})}{49 y^{4} (16 x^{3})}$

Step 2

Cancel the common factor of $48$ and $16$ .

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Step 2.1

Factor $16$ out of $48 x^{5} (7 y^{2})$ .

$\frac{16 (3 x^{5} (7 y^{2}))}{49 y^{4} (16 x^{3})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $16$ out of $49 y^{4} (16 x^{3})$ .

$\frac{16 (3 x^{5} (7 y^{2}))}{16 (49 y^{4} (x^{3}))}$

Step 2.2.2

Cancel the common factor.

$\frac{16 (3 x^{5} (7 y^{2}))}{16 (49 y^{4} (x^{3}))}$

Step 2.2.3

Rewrite the expression.

$\frac{3 x^{5} (7 y^{2})}{49 y^{4} (x^{3})}$

Step 3

Cancel the common factor of $x^{5}$ and $x^{3}$ .

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Step 3.1

Factor $x^{3}$ out of $3 x^{5} (7 y^{2})$ .

$\frac{x^{3} (3 x^{2} (7 y^{2}))}{49 y^{4} (x^{3})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x^{3}$ out of $49 y^{4} (x^{3})$ .

$\frac{x^{3} (3 x^{2} (7 y^{2}))}{x^{3} (49 y^{4})}$

Step 3.2.2

Cancel the common factor.

$\frac{x^{3} (3 x^{2} (7 y^{2}))}{x^{3} (49 y^{4})}$

Step 3.2.3

Rewrite the expression.

$\frac{3 x^{2} (7 y^{2})}{49 y^{4}}$

Step 4

Cancel the common factor of $7$ and $49$ .

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Step 4.1

Factor $7$ out of $3 x^{2} (7 y^{2})$ .

$\frac{7 (3 x^{2} (y^{2}))}{49 y^{4}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $7$ out of $49 y^{4}$ .

$\frac{7 (3 x^{2} (y^{2}))}{7 (7 y^{4})}$

Step 4.2.2

Cancel the common factor.

$\frac{7 (3 x^{2} (y^{2}))}{7 (7 y^{4})}$

Step 4.2.3

Rewrite the expression.

$\frac{3 x^{2} (y^{2})}{7 y^{4}}$

Step 5

Cancel the common factor of $y^{2}$ and $y^{4}$ .

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Step 5.1

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

$\frac{y^{2} (3 x^{2})}{7 y^{4}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $y^{2}$ out of $7 y^{4}$ .

$\frac{y^{2} (3 x^{2})}{y^{2} (7 y^{2})}$

Step 5.2.2

Cancel the common factor.

$\frac{y^{2} (3 x^{2})}{y^{2} (7 y^{2})}$

Step 5.2.3

Rewrite the expression.

$\frac{3 x^{2}}{7 y^{2}}$