Finite Math Examples

$\frac{96}{26 \sqrt{4} \cdot 18} \cdot 2$

Step 1

Multiply $18$ by $26$ .

$\frac{96}{468 \sqrt{4}} \cdot 2$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $4$ as $2^{2}$ .

$\frac{96}{468 \sqrt{2^{2}}} \cdot 2$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{96}{468 \cdot 2} \cdot 2$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $468$ by $2$ .

$\frac{96}{936} \cdot 2$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $936$ .

$\frac{96}{2 (468)} \cdot 2$

Step 3.2.2

Cancel the common factor.

$\frac{96}{2 \cdot 468} \cdot 2$

Step 3.2.3

Rewrite the expression.

$\frac{96}{468}$

Step 3.3

Cancel the common factor of $96$ and $468$ .

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Step 3.3.1

Factor $12$ out of $96$ .

$\frac{12 (8)}{468}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $12$ out of $468$ .

$\frac{12 \cdot 8}{12 \cdot 39}$

Step 3.3.2.2

Cancel the common factor.

$\frac{12 \cdot 8}{12 \cdot 39}$

Step 3.3.2.3

Rewrite the expression.

$\frac{8}{39}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{39}$

Decimal Form:

$0.\overline{205128}$