Finite Math Examples

$\frac{22 a^{2} b^{5} c^{7}}{- 11 a b c^{2}}$

Step 1

Cancel the common factor of $22$ and $- 11$ .

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Step 1.1

Factor $11$ out of $22 a^{2} b^{5} c^{7}$ .

$\frac{11 (2 a^{2} b^{5} c^{7})}{- 11 a b c^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $11$ out of $- 11 a b c^{2}$ .

$\frac{11 (2 a^{2} b^{5} c^{7})}{11 (- a b c^{2})}$

Step 1.2.2

Cancel the common factor.

$\frac{11 (2 a^{2} b^{5} c^{7})}{11 (- a b c^{2})}$

Step 1.2.3

Rewrite the expression.

$\frac{2 a^{2} b^{5} c^{7}}{- a b c^{2}}$

Step 2

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

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Step 2.1

Factor $a$ out of $2 a^{2} b^{5} c^{7}$ .

$\frac{a (2 a b^{5} c^{7})}{- a b c^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$\frac{a (2 a b^{5} c^{7})}{a (- 1 b c^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{a (2 a b^{5} c^{7})}{a (- 1 b c^{2})}$

Step 2.2.3

Rewrite the expression.

$\frac{2 a b^{5} c^{7}}{- 1 b c^{2}}$

Step 3

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

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Step 3.1

Factor $b$ out of $2 a b^{5} c^{7}$ .

$\frac{b (2 a b^{4} c^{7})}{- 1 b c^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $b$ out of $- 1 b c^{2}$ .

$\frac{b (2 a b^{4} c^{7})}{b (- 1 c^{2})}$

Step 3.2.2

Cancel the common factor.

$\frac{b (2 a b^{4} c^{7})}{b (- 1 c^{2})}$

Step 3.2.3

Rewrite the expression.

$\frac{2 a b^{4} c^{7}}{- 1 c^{2}}$

Step 4

Cancel the common factor of $c^{7}$ and $c^{2}$ .

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Step 4.1

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

$\frac{c^{2} (2 a b^{4} c^{5})}{- 1 c^{2}}$

Step 4.2

Move the negative one from the denominator of $\frac{2 a b^{4} c^{5}}{- 1}$ .

$- 1 \cdot (2 a b^{4} c^{5})$

Step 5

Simplify the expression.

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Step 5.1

Rewrite $- 1 \cdot (2 a b^{4} c^{5})$ as $- (2 a b^{4} c^{5})$ .

$- (2 a b^{4} c^{5})$

Step 5.2

Multiply $2$ by $- 1$ .

$- 2 a b^{4} c^{5}$