Basic Math Examples

$\frac{\frac{25 b^{4} C^{3}}{11 b}}{\frac{5 b c^{4}}{c^{2}}}$

Step 1

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

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Step 1.1

Factor $b$ out of $25 b^{4} C^{3}$ .

$\frac{\frac{b (25 b^{3} C^{3})}{11 b}}{\frac{5 b c^{4}}{c^{2}}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $b$ out of $11 b$ .

$\frac{\frac{b (25 b^{3} C^{3})}{b \cdot 11}}{\frac{5 b c^{4}}{c^{2}}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{b (25 b^{3} C^{3})}{b \cdot 11}}{\frac{5 b c^{4}}{c^{2}}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{25 b^{3} C^{3}}{11}}{\frac{5 b c^{4}}{c^{2}}}$

Step 2

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

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Step 2.1

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

$\frac{\frac{25 b^{3} C^{3}}{11}}{\frac{c^{2} (5 b c^{2})}{c^{2}}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{\frac{25 b^{3} C^{3}}{11}}{\frac{c^{2} (5 b c^{2})}{c^{2} \cdot 1}}$

Step 2.2.2

Cancel the common factor.

$\frac{\frac{25 b^{3} C^{3}}{11}}{\frac{c^{2} (5 b c^{2})}{c^{2} \cdot 1}}$

Step 2.2.3

Rewrite the expression.

$\frac{\frac{25 b^{3} C^{3}}{11}}{\frac{5 b c^{2}}{1}}$

Step 2.2.4

Divide $5 b c^{2}$ by $1$ .

$\frac{\frac{25 b^{3} C^{3}}{11}}{5 b c^{2}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{25 b^{3} C^{3}}{11} \cdot \frac{1}{5 b c^{2}}$

Step 4

Combine.

$\frac{25 b^{3} C^{3} \cdot 1}{11 (5 b c^{2})}$

Step 5

Cancel the common factor of $25$ and $5$ .

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Step 5.1

Factor $5$ out of $25 b^{3} C^{3} \cdot 1$ .

$\frac{5 (5 b^{3} C^{3} \cdot 1)}{11 (5 b c^{2})}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $5$ out of $11 (5 b c^{2})$ .

$\frac{5 (5 b^{3} C^{3} \cdot 1)}{5 (11 (b c^{2}))}$

Step 5.2.2

Cancel the common factor.

$\frac{5 (5 b^{3} C^{3} \cdot 1)}{5 (11 (b c^{2}))}$

Step 5.2.3

Rewrite the expression.

$\frac{5 b^{3} C^{3} \cdot 1}{11 (b c^{2})}$

Step 6

Cancel the common factor of $b^{3}$ and $b$ .

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Step 6.1

Factor $b$ out of $5 b^{3} C^{3} \cdot 1$ .

$\frac{b (5 b^{2} C^{3} \cdot 1)}{11 (b c^{2})}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $b$ out of $11 (b c^{2})$ .

$\frac{b (5 b^{2} C^{3} \cdot 1)}{b (11 (c^{2}))}$

Step 6.2.2

Cancel the common factor.

$\frac{b (5 b^{2} C^{3} \cdot 1)}{b (11 (c^{2}))}$

Step 6.2.3

Rewrite the expression.

$\frac{5 b^{2} C^{3} \cdot 1}{11 (c^{2})}$

Step 7

Multiply $5$ by $1$ .

$\frac{5 b^{2} C^{3}}{11 c^{2}}$