Basic Math Examples

$\frac{15 b c}{2 c^{5}} \div \frac{5 b}{4 c}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{15 b c}{2 c^{5}} \cdot \frac{4 c}{5 b}$

Step 2

Combine.

$\frac{15 b c (4 c)}{2 c^{5} (5 b)}$

Step 3

Multiply $c$ by $c$ by adding the exponents.

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Step 3.1

Move $c$ .

$\frac{15 b (c \cdot c) \cdot 4}{2 c^{5} (5 b)}$

Step 3.2

Multiply $c$ by $c$ .

$\frac{15 b c^{2} \cdot 4}{2 c^{5} (5 b)}$

$\frac{15 b c^{2} \cdot 4}{2 c^{5} (5 b)}$

Step 4

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

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Step 4.1

Factor $5$ out of $15 b c^{2} \cdot 4$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

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

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

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

Step 5

Cancel the common factor of $b$ .

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Step 5.1

Cancel the common factor.

$\frac{3 b c^{2} \cdot 4}{2 c^{5} b}$

Step 5.2

Rewrite the expression.

$\frac{3 c^{2} \cdot 4}{2 c^{5}}$

$\frac{3 c^{2} \cdot 4}{2 c^{5}}$

Step 6

Cancel the common factor of $c^{2}$ and $c^{5}$ .

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Step 6.1

Factor $c^{2}$ out of $3 c^{2} \cdot 4$ .

$\frac{c^{2} (3 \cdot 4)}{2 c^{5}}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

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

$\frac{c^{2} (3 \cdot 4)}{c^{2} (2 c^{3})}$

Step 6.2.2

Cancel the common factor.

$\frac{c^{2} (3 \cdot 4)}{c^{2} (2 c^{3})}$

Step 6.2.3

Rewrite the expression.

$\frac{3 \cdot 4}{2 c^{3}}$

$\frac{3 \cdot 4}{2 c^{3}}$

$\frac{3 \cdot 4}{2 c^{3}}$

Step 7

Cancel the common factor of $4$ and $2$ .

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Step 7.1

Factor $2$ out of $3 \cdot 4$ .

$\frac{2 (3 \cdot 2)}{2 c^{3}}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $2$ out of $2 c^{3}$ .

$\frac{2 (3 \cdot 2)}{2 (c^{3})}$

Step 7.2.2

Cancel the common factor.

$\frac{2 (3 \cdot 2)}{2 c^{3}}$

Step 7.2.3

Rewrite the expression.

$\frac{3 \cdot 2}{c^{3}}$

$\frac{3 \cdot 2}{c^{3}}$

$\frac{3 \cdot 2}{c^{3}}$

Step 8

Multiply $3$ by $2$ .

$\frac{6}{c^{3}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$