Basic Math Examples

$\frac{4 c}{5 b} \div \frac{2 c^{3}}{15 b c}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 c}{5 b} \cdot \frac{15 b c}{2 c^{3}}$

Step 2

Combine.

$\frac{4 c (15 b c)}{5 b (2 c^{3})}$

Step 3

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

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Step 3.1

Move $c$ .

$\frac{4 (c \cdot c) (15 b)}{5 b (2 c^{3})}$

Step 3.2

Multiply $c$ by $c$ .

$\frac{4 c^{2} (15 b)}{5 b (2 c^{3})}$

$\frac{4 c^{2} (15 b)}{5 b (2 c^{3})}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

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

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Step 4.1.1

Factor $2$ out of $4 c^{2} (15 b)$ .

$\frac{2 (2 c^{2} (15 b))}{5 b (2 c^{3})}$

Step 4.1.2

Cancel the common factors.

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Step 4.1.2.1

Factor $2$ out of $5 b (2 c^{3})$ .

$\frac{2 (2 c^{2} (15 b))}{2 (5 b (c^{3}))}$

Step 4.1.2.2

Cancel the common factor.

$\frac{2 (2 c^{2} (15 b))}{2 (5 b (c^{3}))}$

Step 4.1.2.3

Rewrite the expression.

$\frac{2 c^{2} (15 b)}{5 b (c^{3})}$

$\frac{2 c^{2} (15 b)}{5 b (c^{3})}$

$\frac{2 c^{2} (15 b)}{5 b (c^{3})}$

Step 4.2

Cancel the common factor of $c^{2}$ and $c^{3}$ .

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Step 4.2.1

Factor $c^{2}$ out of $2 c^{2} (15 b)$ .

$\frac{c^{2} (2 (15 b))}{5 b (c^{3})}$

Step 4.2.2

Cancel the common factors.

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Step 4.2.2.1

Factor $c^{2}$ out of $5 b (c^{3})$ .

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

Step 4.2.2.2

Cancel the common factor.

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

Step 4.2.2.3

Rewrite the expression.

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

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

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

Step 4.3

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

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Step 4.3.1

Factor $5$ out of $2 (15 b)$ .

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

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $5$ out of $5 b (c)$ .

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

Step 4.3.2.2

Cancel the common factor.

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

Step 4.3.2.3

Rewrite the expression.

$\frac{2 (3 b)}{b (c)}$

$\frac{2 (3 b)}{b (c)}$

$\frac{2 (3 b)}{b (c)}$

Step 4.4

Cancel the common factor of $b$ .

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Step 4.4.1

Cancel the common factor.

$\frac{2 (3 b)}{b c}$

Step 4.4.2

Rewrite the expression.

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

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

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

Step 5

Multiply $2$ by $3$ .

$\frac{6}{c}$

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