Basic Math Examples

$\frac{16 a b}{9 s^{4} t^{2}} \cdot (\frac{3 s^{5} y^{4}}{8 a^{2} b^{2}})$

Step 1

Combine.

$\frac{16 a b (3 s^{5} y^{4})}{9 s^{4} t^{2} (8 a^{2} b^{2})}$

Step 2

Cancel the common factor of $16$ and $8$ .

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Step 2.1

Factor $8$ out of $16 a b (3 s^{5} y^{4})$ .

$\frac{8 (2 a b (3 s^{5} y^{4}))}{9 s^{4} t^{2} (8 a^{2} b^{2})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $9 s^{4} t^{2} (8 a^{2} b^{2})$ .

$\frac{8 (2 a b (3 s^{5} y^{4}))}{8 (9 s^{4} t^{2} (a^{2} b^{2}))}$

Step 2.2.2

Cancel the common factor.

$\frac{8 (2 a b (3 s^{5} y^{4}))}{8 (9 s^{4} t^{2} (a^{2} b^{2}))}$

Step 2.2.3

Rewrite the expression.

$\frac{2 a b (3 s^{5} y^{4})}{9 s^{4} t^{2} (a^{2} b^{2})}$

Step 3

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

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Step 3.1

Factor $a$ out of $2 a b (3 s^{5} y^{4})$ .

$\frac{a (2 b (3 s^{5} y^{4}))}{9 s^{4} t^{2} (a^{2} b^{2})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $a$ out of $9 s^{4} t^{2} (a^{2} b^{2})$ .

$\frac{a (2 b (3 s^{5} y^{4}))}{a (9 s^{4} t^{2} (a b^{2}))}$

Step 3.2.2

Cancel the common factor.

$\frac{a (2 b (3 s^{5} y^{4}))}{a (9 s^{4} t^{2} (a b^{2}))}$

Step 3.2.3

Rewrite the expression.

$\frac{2 b (3 s^{5} y^{4})}{9 s^{4} t^{2} (a b^{2})}$

Step 4

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

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Step 4.1

Factor $b$ out of $2 b (3 s^{5} y^{4})$ .

$\frac{b (2 (3 s^{5} y^{4}))}{9 s^{4} t^{2} (a b^{2})}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $b$ out of $9 s^{4} t^{2} (a b^{2})$ .

$\frac{b (2 (3 s^{5} y^{4}))}{b (9 s^{4} t^{2} (a b))}$

Step 4.2.2

Cancel the common factor.

$\frac{b (2 (3 s^{5} y^{4}))}{b (9 s^{4} t^{2} (a b))}$

Step 4.2.3

Rewrite the expression.

$\frac{2 (3 s^{5} y^{4})}{9 s^{4} t^{2} (a b)}$

Step 5

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

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Step 5.1

Factor $3$ out of $2 (3 s^{5} y^{4})$ .

$\frac{3 (2 (s^{5} y^{4}))}{9 s^{4} t^{2} (a b)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $9 s^{4} t^{2} (a b)$ .

$\frac{3 (2 (s^{5} y^{4}))}{3 (3 s^{4} t^{2} (a b))}$

Step 5.2.2

Cancel the common factor.

$\frac{3 (2 (s^{5} y^{4}))}{3 (3 s^{4} t^{2} (a b))}$

Step 5.2.3

Rewrite the expression.

$\frac{2 (s^{5} y^{4})}{3 s^{4} t^{2} (a b)}$

Step 6

Cancel the common factor of $s^{5}$ and $s^{4}$ .

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Step 6.1

Factor $s^{4}$ out of $2 (s^{5} y^{4})$ .

$\frac{s^{4} (2 (s y^{4}))}{3 s^{4} t^{2} (a b)}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $s^{4}$ out of $3 s^{4} t^{2} (a b)$ .

$\frac{s^{4} (2 (s y^{4}))}{s^{4} (3 t^{2} (a b))}$

Step 6.2.2

Cancel the common factor.

$\frac{s^{4} (2 (s y^{4}))}{s^{4} (3 t^{2} (a b))}$

Step 6.2.3

Rewrite the expression.

$\frac{2 (s y^{4})}{3 t^{2} (a b)}$

$\frac{2 s y^{4}}{3 t^{2} a b}$