Basic Math Examples

(\frac{54}{360}) π \cdot 4^{2}

$(\frac{54}{360}) π \cdot 4^{2}$

Step 1

Cancel the common factor of

54

$54$ and

360

$360$ .

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Step 1.1

Factor

18

$18$ out of

54

$54$ .

\frac{18 (3)}{360} π \cdot 4^{2}

$\frac{18 (3)}{360} π \cdot 4^{2}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

18

$18$ out of

360

$360$ .

\frac{18 \cdot 3}{18 \cdot 20} π \cdot 4^{2}

$\frac{18 \cdot 3}{18 \cdot 20} π \cdot 4^{2}$

Step 1.2.2

Cancel the common factor.

$\frac{18 \cdot 3}{18 \cdot 20} π \cdot 4^{2}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{20} π \cdot 4^{2}$

$\frac{3}{20} π \cdot 4^{2}$

$\frac{3}{20} π \cdot 4^{2}$

Step 2

Combine

$\frac{3}{20}$ and

$π$ .

$\frac{3 π}{20} \cdot 4^{2}$

Step 3

Raise

$4$ to the power of

$2$ .

$\frac{3 π}{20} \cdot 16$

Step 4

Cancel the common factor of

$4$ .

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Step 4.1

Factor

$4$ out of

$20$ .

$\frac{3 π}{4 (5)} \cdot 16$

Step 4.2

Factor

$4$ out of

$16$ .

$\frac{3 π}{4 \cdot 5} \cdot (4 \cdot 4)$

Step 4.3

Cancel the common factor.

$\frac{3 π}{4 \cdot 5} \cdot (4 \cdot 4)$

Step 4.4

Rewrite the expression.

$\frac{3 π}{5} \cdot 4$

$\frac{3 π}{5} \cdot 4$

Step 5

Combine

$\frac{3 π}{5}$ and

$4$ .

$\frac{3 π \cdot 4}{5}$

Step 6

Multiply

$4$ by

$3$ .

$\frac{12 π}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{12 π}{5}$

Decimal Form:

$7.53982236 \dots$

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