Basic Math Examples

$\frac{21}{27} \cdot \frac{a^{2}}{a} \cdot \frac{b^{4}}{b^{2}} \cdot \frac{c^{4}}{c^{2}}$

Step 1

Combine.

$\frac{21 a^{2}}{27 a} \cdot \frac{b^{4}}{b^{2}} \cdot \frac{c^{4}}{c^{2}}$

Step 2

Combine.

$\frac{21 a^{2} b^{4}}{27 a b^{2}} \cdot \frac{c^{4}}{c^{2}}$

Step 3

Combine.

$\frac{21 a^{2} b^{4} c^{4}}{27 a b^{2} c^{2}}$

Step 4

Cancel the common factor of $21$ and $27$ .

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Step 4.1

Factor $3$ out of $21 a^{2} b^{4} c^{4}$ .

$\frac{3 (7 a^{2} b^{4} c^{4})}{27 a b^{2} c^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $27 a b^{2} c^{2}$ .

$\frac{3 (7 a^{2} b^{4} c^{4})}{3 (9 a b^{2} c^{2})}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (7 a^{2} b^{4} c^{4})}{3 (9 a b^{2} c^{2})}$

Step 4.2.3

Rewrite the expression.

$\frac{7 a^{2} b^{4} c^{4}}{9 a b^{2} c^{2}}$

Step 5

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

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Step 5.1

Factor $a$ out of $7 a^{2} b^{4} c^{4}$ .

$\frac{a (7 a b^{4} c^{4})}{9 a b^{2} c^{2}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $a$ out of $9 a b^{2} c^{2}$ .

$\frac{a (7 a b^{4} c^{4})}{a (9 b^{2} c^{2})}$

Step 5.2.2

Cancel the common factor.

$\frac{a (7 a b^{4} c^{4})}{a (9 b^{2} c^{2})}$

Step 5.2.3

Rewrite the expression.

$\frac{7 a b^{4} c^{4}}{9 b^{2} c^{2}}$

Step 6

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

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Step 6.1

Factor $b^{2}$ out of $7 a b^{4} c^{4}$ .

$\frac{b^{2} (7 a b^{2} c^{4})}{9 b^{2} c^{2}}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $b^{2}$ out of $9 b^{2} c^{2}$ .

$\frac{b^{2} (7 a b^{2} c^{4})}{b^{2} (9 c^{2})}$

Step 6.2.2

Cancel the common factor.

$\frac{b^{2} (7 a b^{2} c^{4})}{b^{2} (9 c^{2})}$

Step 6.2.3

Rewrite the expression.

$\frac{7 a b^{2} c^{4}}{9 c^{2}}$

Step 7

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

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Step 7.1

Factor $c^{2}$ out of $7 a b^{2} c^{4}$ .

$\frac{c^{2} (7 a b^{2} c^{2})}{9 c^{2}}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $c^{2}$ out of $9 c^{2}$ .

$\frac{c^{2} (7 a b^{2} c^{2})}{c^{2} \cdot 9}$

Step 7.2.2

Cancel the common factor.

$\frac{c^{2} (7 a b^{2} c^{2})}{c^{2} \cdot 9}$

Step 7.2.3

Rewrite the expression.

$\frac{7 a b^{2} c^{2}}{9}$