Pre-Algebra Examples

$\frac{\frac{4 z^{5} x^{4}}{25}}{\frac{20 x^{2} z^{7}}{35}}$

Step 1

Cancel the common factor of $20$ and $35$ .

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Step 1.1

Factor $5$ out of $20 x^{2} z^{7}$ .

$\frac{\frac{4 z^{5} x^{4}}{25}}{\frac{5 (4 x^{2} z^{7})}{35}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $35$ .

$\frac{\frac{4 z^{5} x^{4}}{25}}{\frac{5 (4 x^{2} z^{7})}{5 (7)}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{4 z^{5} x^{4}}{25}}{\frac{5 (4 x^{2} z^{7})}{5 \cdot 7}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{4 z^{5} x^{4}}{25}}{\frac{4 x^{2} z^{7}}{7}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{4 z^{5} x^{4}}{25} \cdot \frac{7}{4 x^{2} z^{7}}$

Step 3

Combine.

$\frac{4 z^{5} x^{4} \cdot 7}{25 (4 x^{2} z^{7})}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Cancel the common factor.

$\frac{4 z^{5} x^{4} \cdot 7}{25 (4 x^{2} z^{7})}$

Step 4.2

Rewrite the expression.

$\frac{z^{5} x^{4} \cdot 7}{25 (x^{2} z^{7})}$

Step 5

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

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Step 5.1

Factor $z^{5}$ out of $z^{5} x^{4} \cdot 7$ .

$\frac{z^{5} (x^{4} \cdot 7)}{25 (x^{2} z^{7})}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $z^{5}$ out of $25 (x^{2} z^{7})$ .

$\frac{z^{5} (x^{4} \cdot 7)}{z^{5} (25 (x^{2} z^{2}))}$

Step 5.2.2

Cancel the common factor.

$\frac{z^{5} (x^{4} \cdot 7)}{z^{5} (25 (x^{2} z^{2}))}$

Step 5.2.3

Rewrite the expression.

$\frac{x^{4} \cdot 7}{25 (x^{2} z^{2})}$

Step 6

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

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Step 6.1

Factor $x^{2}$ out of $x^{4} \cdot 7$ .

$\frac{x^{2} (x^{2} \cdot 7)}{25 (x^{2} z^{2})}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $x^{2}$ out of $25 (x^{2} z^{2})$ .

$\frac{x^{2} (x^{2} \cdot 7)}{x^{2} (25 (z^{2}))}$

Step 6.2.2

Cancel the common factor.

$\frac{x^{2} (x^{2} \cdot 7)}{x^{2} (25 (z^{2}))}$

Step 6.2.3

Rewrite the expression.

$\frac{x^{2} \cdot 7}{25 (z^{2})}$

Step 7

Move $7$ to the left of $x^{2}$ .

$\frac{7 x^{2}}{25 z^{2}}$