Pre-Algebra Examples

$\frac{15 x^{7} y^{8} z^{7}}{- 5 x^{5} y z^{5}}$

Step 1

Cancel the common factor of $15$ and $- 5$ .

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Step 1.1

Factor $5$ out of $15 x^{7} y^{8} z^{7}$ .

$\frac{5 (3 x^{7} y^{8} z^{7})}{- 5 x^{5} y z^{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $- 5 x^{5} y z^{5}$ .

$\frac{5 (3 x^{7} y^{8} z^{7})}{5 (- x^{5} y z^{5})}$

Step 1.2.2

Cancel the common factor.

$\frac{5 (3 x^{7} y^{8} z^{7})}{5 (- x^{5} y z^{5})}$

Step 1.2.3

Rewrite the expression.

$\frac{3 x^{7} y^{8} z^{7}}{- x^{5} y z^{5}}$

Step 2

Cancel the common factor of $x^{7}$ and $x^{5}$ .

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Step 2.1

Factor $x^{5}$ out of $3 x^{7} y^{8} z^{7}$ .

$\frac{x^{5} (3 x^{2} y^{8} z^{7})}{- x^{5} y z^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x^{5}$ out of $- x^{5} y z^{5}$ .

$\frac{x^{5} (3 x^{2} y^{8} z^{7})}{x^{5} (- 1 y z^{5})}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{5} (3 x^{2} y^{8} z^{7})}{x^{5} (- 1 y z^{5})}$

Step 2.2.3

Rewrite the expression.

$\frac{3 x^{2} y^{8} z^{7}}{- 1 y z^{5}}$

Step 3

Cancel the common factor of $y^{8}$ and $y$ .

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Step 3.1

Factor $y$ out of $3 x^{2} y^{8} z^{7}$ .

$\frac{y (3 x^{2} y^{7} z^{7})}{- 1 y z^{5}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y$ out of $- 1 y z^{5}$ .

$\frac{y (3 x^{2} y^{7} z^{7})}{y (- 1 z^{5})}$

Step 3.2.2

Cancel the common factor.

$\frac{y (3 x^{2} y^{7} z^{7})}{y (- 1 z^{5})}$

Step 3.2.3

Rewrite the expression.

$\frac{3 x^{2} y^{7} z^{7}}{- 1 z^{5}}$

Step 4

Cancel the common factor of $z^{7}$ and $z^{5}$ .

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Step 4.1

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

$\frac{z^{5} (3 x^{2} y^{7} z^{2})}{- 1 z^{5}}$

Step 4.2

Move the negative one from the denominator of $\frac{3 x^{2} y^{7} z^{2}}{- 1}$ .

$- 1 \cdot (3 x^{2} y^{7} z^{2})$

Step 5

Rewrite $- 1 \cdot (3 x^{2} y^{7} z^{2})$ as $- (3 x^{2} y^{7} z^{2})$ .

$- (3 x^{2} y^{7} z^{2})$

Step 6

Multiply $3$ by $- 1$ .

$- 3 x^{2} y^{7} z^{2}$