Pre-Algebra Examples

$\frac{- 35 a^{4} b^{2} c}{- 7 a^{2} b^{2} c^{2}}$

Step 1

Cancel the common factor of $- 35$ and $- 7$ .

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Step 1.1

Factor $- 7$ out of $- 35 a^{4} b^{2} c$ .

$\frac{- 7 (5 a^{4} b^{2} c)}{- 7 a^{2} b^{2} c^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

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

$\frac{- 7 (5 a^{4} b^{2} c)}{- 7 (a^{2} b^{2} c^{2})}$

Step 1.2.2

Cancel the common factor.

$\frac{- 7 (5 a^{4} b^{2} c)}{- 7 (a^{2} b^{2} c^{2})}$

Step 1.2.3

Rewrite the expression.

$\frac{5 a^{4} b^{2} c}{a^{2} b^{2} c^{2}}$

Step 2

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

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Step 2.1

Factor $a^{2}$ out of $5 a^{4} b^{2} c$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{5 a^{2} c}{c^{2}}$

Step 4

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

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Step 4.1

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

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

$\frac{c (5 a^{2})}{c \cdot c}$

Step 4.2.2

Cancel the common factor.

$\frac{c (5 a^{2})}{c \cdot c}$

Step 4.2.3

Rewrite the expression.

$\frac{5 a^{2}}{c}$