Basic Math Examples

$\frac{8 π}{3} \div \frac{2 π^{3}}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{8 π}{3} \cdot \frac{9}{2 π^{3}}$

Step 2

Combine.

$\frac{8 π \cdot 9}{3 (2 π^{3})}$

Step 3

Cancel the common factor of $8$ and $2$ .

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Step 3.1

Factor $2$ out of $8 π \cdot 9$ .

$\frac{2 (4 π \cdot 9)}{3 (2 π^{3})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $3 (2 π^{3})$ .

$\frac{2 (4 π \cdot 9)}{2 (3 (π^{3}))}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (4 π \cdot 9)}{2 (3 (π^{3}))}$

Step 3.2.3

Rewrite the expression.

$\frac{4 π \cdot 9}{3 (π^{3})}$

$\frac{4 π \cdot 9}{3 (π^{3})}$

$\frac{4 π \cdot 9}{3 (π^{3})}$

Step 4

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

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Step 4.1

Factor $π$ out of $4 π \cdot 9$ .

$\frac{π (4 \cdot 9)}{3 (π^{3})}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $π$ out of $3 (π^{3})$ .

$\frac{π (4 \cdot 9)}{π (3 (π^{2}))}$

Step 4.2.2

Cancel the common factor.

$\frac{π (4 \cdot 9)}{π (3 (π^{2}))}$

Step 4.2.3

Rewrite the expression.

$\frac{4 \cdot 9}{3 (π^{2})}$

$\frac{4 \cdot 9}{3 (π^{2})}$

$\frac{4 \cdot 9}{3 (π^{2})}$

Step 5

Cancel the common factor of $9$ and $3$ .

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Step 5.1

Factor $3$ out of $4 \cdot 9$ .

$\frac{3 (4 \cdot 3)}{3 (π^{2})}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Cancel the common factor.

$\frac{3 (4 \cdot 3)}{3 π^{2}}$

Step 5.2.2

Rewrite the expression.

$\frac{4 \cdot 3}{π^{2}}$

$\frac{4 \cdot 3}{π^{2}}$

$\frac{4 \cdot 3}{π^{2}}$

Step 6

Multiply $4$ by $3$ .

$\frac{12}{π^{2}}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{π^{2}}$

Decimal Form:

$1.21585420 \dots$

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